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Duchac Chapter 4 Series A Problems
Course: ACCT 2101, Spring 2008School: GA Southern
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4 CHAPTER SERIES A PROBLEMS Prob. 41A 1. SCF BS IS F ASE -- SCF BS -- AL IS -- (a) Cash....................................................... Capital Stock ................................... (b) Supplies ................................................ Accounts Payable ........................... (c) Cash....................................................... Sales Commissions Earned ........... (d) Rent Expense...
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4 CHAPTER SERIES A PROBLEMS Prob. 41A
1. SCF BS IS F ASE -- SCF BS -- AL IS -- (a) Cash....................................................... Capital Stock ................................... (b) Supplies ................................................ Accounts Payable ........................... (c) Cash....................................................... Sales Commissions Earned ........... (d) Rent Expense ........................................ Cash ................................................. (e) Accounts Payable ................................ Cash ................................................. (f) Dividends .............................................. Cash ................................................. (g) Automobile Expense ............................ Miscellaneous Expense ....................... Cash ................................................. (h) Office Salaries Expense ....................... Cash ................................................. (i) Supplies Expense ................................. Supplies ........................................... 12,000 12,000 850 850 12,600 12,600 2,000 2,000 450 450 1,500 1,500 1,700 375 2,075 3,000 3,000 605 605
SCF BS IS O ASE R SCF BS IS O ASE E SCF BS O AL IS --
SCF BS IS F ASE -- SCF BS IS O ASE E
SCF BS IS O ASE E SCF BS IS -- ASE E
Prob. 41A
2. (a) (c)
Continued
Bal.
Cash 12,000 (d) 12,600 (e) (f) (g) (h) 15,575 Supplies 850 (i) 245 Accounts Payable 450 (b) Bal. Capital Stock (a) Dividends 1,500
2,000 450 1,500 2,075 3,000
Sales Commissions Earned (c) 12,600
(d)
Rent Expense 2,000
(b) Bal.
605
(h)
Office Salaries Expense 3,000
(e)
850 400
(g)
Automobile Expense 1,700
12,000
(i)
Supplies Expense 605 Miscellaneous Expense 375
(f)
(g)
Prob. 41A
3.
Concluded
STAR REALTY Trial Balance March 31, 2006 Debit Balances 15,575 245 Credit Balances
Cash ............................................................................ Supplies ...................................................................... Accounts Payable ...................................................... Capital Stock .............................................................. Dividends .................................................................... Sales Commissions Earned ...................................... Rent Expense ............................................................. Office Salaries Expense ............................................ Automobile Expense ................................................. Supplies Expense ...................................................... Miscellaneous Expense .............................................
400 12,000 1,500 12,600 2,000 3,000 1,700 605 375 25,000
25,000
4.
a. b. c.
$12,600 $7,680 $4,920
Prob. 42A
1. 2006 July 1 Cash .............................................................. Capital Stock ........................................... 5 Rent Expense ............................................... Cash ......................................................... 10 Truck ............................................................. Cash ......................................................... Notes Payable ......................................... 13 Equipment..................................................... Accounts Payable ................................... 14 Supplies ........................................................ Cash ......................................................... 15 Prepaid Insurance ........................................ Cash ......................................................... 15 Cash .............................................................. Fees Earned ............................................ 21 Accounts Payable ........................................ Cash ......................................................... 24 Accounts Receivable ................................... Fees Earned ............................................ 26 Truck Expense.............................................. Accounts Payable ................................... 27 Utilities Expense .......................................... Cash ......................................................... 27 Miscellaneous Expense ............................... Cash ......................................................... 29 Cash .............................................................. Accounts Receivable .............................. 30 Wages Expense ............................................ Cash ......................................................... 31 Dividends ...................................................... Cash ......................................................... 18,000 18,000 1,500 1,500 15,000 5,000 10,000 4,500 4,500 975 975 3,000 3,000 4,100 4,100 2,400 2,400 6,100 6,100 580 580 950 950 315 315 3,420 3,420 2,500 2,500 2,000 2,000
Prob. 42A
2.
Continued
GENERAL LEDGER
July 1 15 29
31
Cash 18,000 July 5 4,100 10 3,420 14 15 21 27 27 30 31 Bal. 6,880
1,500 5,000 975 3,000 2,400 950 315 2,500 2,000
July 10
Truck 15,000
Accounts Receivable July 24 6,100 July 29 31 Bal. 2,680
3,420
Notes Payable July 10
10,000
July 14
Supplies 975
July 21
Accounts Payable 2,400 July 13 26 31 Bal.
4,500 580 2,680
July 15
Prepaid Insurance 3,000
Capital Stock July 1
18,000
July 13
Equipment 4,500
July 31
Dividends 2,000
Prob. 42A Concluded Fees Earned July 15 4,100 24 6,100 31 Bal. 10,200 Utilities Expense 950
July 27
July 30
Wages Expense 2,500
July 26
Truck Expense 580
July 5
Rent Expense 1,500
Miscellaneous Expense July 27 315
3.
INGRES DESIGNS Trial Balance July 31, 2006 Debit Balances 6,880 2,680 975 3,000 4,500 15,000 Credit Balances
Cash ................................................................................. Accounts Receivable ...................................................... Supplies ........................................................................... Prepaid Insurance ........................................................... Equipment ....................................................................... Truck ................................................................................ Notes Payable ................................................................. Accounts Payable ........................................................... Capital Stock ................................................................... Dividends ......................................................................... Fees Earned..................................................................... Wages Expense............................................................... Rent Expense .................................................................. Utilities Expense ............................................................. Truck Expense ................................................................ Miscellaneous Expense ..................................................
10,000 2,680 18,000 2,000 10,200 2,500 1,500 950 580 315 40,880
40,880
Prob. 43A
2. 2007 June 1 Rent Expense ............................................... Cash ......................................................... 2 Office Supplies ............................................. Accounts Payable ................................... 5 Prepaid Insurance ........................................ Cash ......................................................... 8 Cash .............................................................. Accounts Receivable .............................. 10 Land .............................................................. Cash ......................................................... Notes Payable ......................................... 16 Accounts Payable ........................................ Cash ......................................................... 18 Accounts Payable ........................................ Office Supplies........................................ 24 Advertising Expense .................................... Cash ......................................................... 25 Accounts Receivable ................................... Fees Earned ............................................ 27 Salary and Commission Expense ............... Cash ......................................................... 28 Automobile Expense .................................... Cash ......................................................... 29 Miscellaneous Expense ............................... Cash ......................................................... 30 Cash .............................................................. Fees Earned ........................................... 30 Dividends ...................................................... Cash ......................................................... 2,000 2,000 1,100 1,100 1,920 1,920 13,040 13,040 48,000 4,800 43,200 640 640 140 140 680 680 18,800 18,800 6,000 6,000 600 600 200 200 2,400 2,400 800 800
Prob. 43A
1. and 3.
Continued
GENERAL LEDGER Office Equipment June 1 Bal. 10,480
Cash June 1 Bal. 4,920 June 1 8 13,040 5 30 2,400 10 16 24 27 28 29 30 30 Bal. 2,720
2,000 1,920 4,800 640 680 6,000 600 200 800
Accounts Receivable June 1 Bal. 15,000 June 8 25 18,800 30 Bal. 20,760
13,040
Accumulated Depreciation June 1 Bal. 2,880
Prepaid Insurance June 1 Bal. 1,440 5 1,920 30 Bal. 3,360
June 16 18
Accounts Payable 640 June 1 Bal. 140 2 30 Bal.
640 1,100 960
June 1 Bal. 2 30 Bal.
Office Supplies 960 June 18 1,100 1,920
140
Salary and Commissions Payable June 1 Bal. 0
Land June 1 Bal. 0 10 48,000
Unearned Fees June 1 Bal.
1,440
Prob. 43A
Continued
Notes Payable June 1 Bal. 0 10 43,200 Office Supplies Expense June 1 Bal. 0
Capital Stock June 1 Bal. 20,000
Advertising Expense June 1 Bal. 0 24 680
Retained Earnings June 1 Bal.
7,840
Automobile Expense June 1 Bal. 0 28 600
June 1 Bal. 30
Dividends 0 800
Insurance Expense June 1 Bal. 0
Fees Earned June 1 Bal. 0 25 18,800 30 2,400 30 Bal. 21,200
Depreciation Expense June 1 Bal. 0
Salary and Commission Expense June 1 Bal. 0 27 6,000
Miscellaneous Expense June 1 Bal. 0 29 200
Rent Expense June 1 Bal. 0 1 2,000
Prob. 43A
4.
Concluded
SOCKET REALTY Unadjusted Trial Balance June 30, 2007 Debit Balances 2,720 20,760 3,360 1,920 48,000 10,480 Credit Balances
Cash ................................................................................. Accounts Receivable ...................................................... Prepaid Insurance ........................................................... Office Supplies ................................................................ Land ................................................................................. Office Equipment ............................................................ Accumulated Depreciation ............................................. Accounts Payable ........................................................... Salary and Commissions Payable ................................. Unearned Fees ................................................................ Notes Payable ................................................................. Capital Stock ................................................................... Retained Earnings .......................................................... Dividends ......................................................................... Fees Earned..................................................................... Salary and Commission Expense .................................. Rent Expense .................................................................. Office Supplies Expense ................................................ Advertising Expense ...................................................... Automobile Expense ...................................................... Insurance Expense ......................................................... Depreciation Expense .................................................... Miscellaneous Expense ..................................................
2,880 960 0 1,440 43,200 20,000 7,840 800 21,200 6,000 2,000 0 680 600 0 0 200 97,520
97,520
Prob. 44A
1. June 30 Insurance Expense ...................................... Prepaid Insurance ................................... 30 Office Supplies Expense ............................. Office Supplies........................................ 30 Depreciation Expense .................................. Accumulated Depreciation..................... 30 Unearned Fees ............................................. Fees Earned ............................................ 30 Accounts Receivable ................................... Fees Earned ............................................ 30 Salary and Commission Expense ............... Salary and Commissions Payable ......... 280 280 1,340 1,340 160 160 480 480 960 960 560 560
Prob. 44A
2. and 5.
Continued
GENERAL LEDGER Cash Land
2,000 1,920 4,800 640 680 6,000 600 200 800 June 1 Bal. 0 10 48,000
June
1 Bal. 4,920 June 1 8 13,040 5 30 2,400 10 16 24 27 28 29 30 30 Bal. 2,720
Accounts Receivable
June 1 25 30 30 30 Bal. 15,000 June 18,800 Bal. 20,760 Adj. 960 Bal. 21,720 8 13,040 June
Office Equipment
1 Bal. 10,480
Prepaid Insurance
June 1 Bal. 1,440 5 1,920 30 Bal. 3,360 June 30 Adj. 30 Bal. 3,080 280
Accumulated Depreciation
June 1 Bal. 2,880 30 Adj. 160 30 Bal. 3,040
Office Supplies
June 1 Bal. 960 June 18 140 2 1,100 30 Bal. 1,920 30 Adj. 1,340 30 Bal. 580 June 16 18
Accounts Payable
640 June 140 1 Bal. 640 2 1,100 30 Bal. 960
Prob. 44A
Continued
Salary and Commissions Payable
June 1 Bal. 30 Adj. 30 Bal. 0 560 560 June 1 Bal. 30 30 Bal.
Dividends
0 June 30 Clo. 800 0 800
Unearned Fees
June June 30 Adj. 480 30 Bal. 960 1 Bal. 1,440
Fees Earned
June 1 25 30 30 30 30 30 Bal. 0 18,800 2,400 Bal. 21,200 Adj. 480 Adj. 960 Bal. 22,640
June 30 Clo. 22,640
Notes Payable
June 1 Bal. 0 10 43,200
Salary and Commission Expense
June 1 27 30 30 30 0 6,000 Adj. 560 Bal. 6,560 June 30 Clo. 6,560 Bal. 0 Bal.
Capital Stock
June 1 Bal. 20,000 June
Rent Expense
1 Bal. 0 June 30 Clo. 2,000 1 2,000 30 Bal. 0
Retained Earnings
June 30 Clo. 11,820 June 1 Bal. 7,840 30 Clo. 800 30 Clo. 22,640 30 Bal. 17,860 June
Office Supplies Expense
1 Bal. 0 June 30 Clo. 1,340 30 Adj. 1,340 30 Bal. 0
Prob. 44A
Continued
Advertising Expense
June 1 Bal. 24 30 Bal. 0 June 30 Clo. 680 0 680 June
Depreciation Expense
1 Bal. 30 Adj. 30 Bal. 0 June 30 Clo. 160 0 160
Automobile Expense
June 1 Bal. 28 30 Bal. 0 June 30 Clo. 600 0 600 June
Miscellaneous Expense
1 Bal. 29 30 Bal. 0 June 30 Clo. 200 0 200
Insurance Expense
June 1 Bal. 30 Adj. 30 Bal. 0 June 30 Clo. 280 0 280
Prob. 44A
3.
Continued
SOCKET REALTY Adjusted Trial Balance June 30, 2007 Debit Balances 2,720 21,720 3,080 580 48,000 10,480 Credit Balances
Cash ................................................................................. Accounts Receivable ...................................................... Prepaid Insurance ........................................................... Office Supplies ................................................................ Land ................................................................................. Office Equipment ............................................................ Accumulated Depreciation ............................................. Accounts Payable ........................................................... Salary and Commissions Payable ................................. Unearned Fees ................................................................ Notes Payable ................................................................. Capital Stock ................................................................... Retained Earnings .......................................................... Dividends ......................................................................... Fees Earned..................................................................... Salary and Commission Expense .................................. Rent Expense .................................................................. Office Supplies Expense ................................................ Advertising Expense ...................................................... Automobile Expense ...................................................... Insurance Expense ......................................................... Depreciation Expense .................................................... Miscellaneous Expense ..................................................
3,040 960 560 960 43,200 20,000 7,840 800 22,640 6,560 2,000 1,340 680 600 280 160 200 99,200
99,200
Prob. 44A
4.
Continued
SOCKET REALTY Income Statement For Month Ended June 30, 2007
Fees earned ..................................................................... Operating expenses: Salary and commission expense ............................. Rent expense ............................................................. Office supplies expense............................................ Advertising expense ................................................. Automobile ................................................. expense Insurance expense .................................................... Depreciation expense ............................................... Miscellaneous expense ............................................. Total operating expenses .................................... Net income.......................................................................
$22,640 $6,560 2,000 1,340 680 600 280 160 200 11,820 $10,820
SOCKET REALTY Retained Earnings Statement For Month Ended June 30, 2007 Retained earnings, June 1, 2007.................................... Net income for June ....................................................... Less dividends ................................................................ Increase in retained earnings ........................................ Retained earnings, June 30, 2007.................................. $ 7,840 $10,820 800 10,020 $17,860
Prob. 44A
Continued
SOCKET REALTY Balance Sheet June 30, 2007
Assets Current assets: Cash .................................................................. Accounts receivable ........................................ Prepaid insurance ........................................... Office supplies ................................................. Total current assets ................................... Property, plant, and equipment: Land .................................................................. Office equipment ............................................. $10,480 Accumulated depreciation .............................. 3,040 Total property, plant, and equipment ...... Total assets ........................................................... Liabilities Current liabilities: Accounts payable ............................................ $ Salary and commissions payable .................. Unearned fees .................................................. Total current liabilities ............................... Long-term liabilities: Notes payable .................................................. Total liabilities ....................................................... Stockholders' Equity Capital stock.......................................................... Retained earnings ................................................. Total stockholders' equity .............................. Total liabilities and stockholders' equity ............
$ 2,720 21,720 3,080 580 $28,100 $48,000 7,440 55,440 $83,540
960 560 960 $ 2,480 43,200 $45,680
$20,000 17,860 37,860 $83,540
Prob. 44A
5.
Continued
Debit Balances 22,640 11,820 6,560 2,000 1,340 680 600 280 160 200 800 800 Credit Balances 22,640
Fees Earned ................................................................... Retained Earnings ..................................................... Retained Earnings ......................................................... Salary and Commission Expense ............................ Rent Expense ............................................................. Office Supplies Expense ........................................... Advertising Expense ................................................. Automobile Expense ................................................. Insurance Expense .................................................... Depreciation Expense ............................................... Miscellaneous Expense ............................................ Retained Earnings ......................................................... Dividends ...................................................................
Prob. 44A
6.
Continued
SOCKET REALTY Post-Closing Trial Balance June 30, 2007 Debit Balances 2,720 21,720 3,080 580 48,000 10,480 Credit Balances
Cash ............................................................................ Accounts Receivable ................................................. Prepaid Insurance ...................................................... Office Supplies ........................................................... Land ............................................................................ Office Equipment ....................................................... Accumulated Depreciation ........................................ Accounts Payable ...................................................... Salary and Commissions Payable ............................ Unearned Fees ........................................................... Notes Payable ............................................................ Capital Stock .............................................................. Retained Earnings ..................................................... Dividends .................................................................... Fees Earned................................................................ Salary and Commission Expense............................. Rent Expense ............................................................. Office Supplies Expense ........................................... Advertising Expense ................................................. Automobile Expense ................................................. Insurance Expense .................................................... Depreciation Expense ............................................... Miscellaneous Expense .............................................
3,040 960 560 960 43,200 20,000 17,860 0 0 0 0 0 0 0 0 0 0 86,580
86,580
Prob. 44A
7.
Concluded
SOCKET REALTY Statement of Cash Flows For Month Ended June 30, 2007
Appendix Cash flows from operating activities: Cash received from customers ................................ Deduct cash payments for operating expenses ..... Net cash flows from operating activities ...................... Net cash flows used for investing activities: Purchase of land........................................................ Net cash flows used for financing activities: Payment of dividends ............................................... Net decrease in cash ...................................................... June 1, 2007, cash balance ............................................ June 30, 2007, cash balance .......................................... *$13,040 + $2,400 **Salary and commissions ............................................. Rent............................................................................... Advertising ................................................................... Insurance ...................................................................... Supplies........................................................................ Automobile ................................................................... Miscellaneous .............................................................. 8. Appendix Net income ..................................................................... Add: Depreciation ............................................................... Decrease in office supplies ...................................... Increase in accounts payable ................................... Increase in salary and commissions payable ......... Deduct: Increase in accounts receivable............................... Increase in prepaid insurance .................................. Decrease in unearned fees ....................................... Net cash flows from operating activities ..................... $ 160 380 320 560 $6,720 1,640 480 $6,000 2,000 680 1,920 640 600 200
$ 15,440* 12,040** $ 3,400 (4,800) (800) $ (2,200) 4,920 $ 2,720
$ 10,820
1,420
8,840 $ 3,400
Prob. 45A
1. Apr. 30 Accounts Receivable ......................................... Fees Revenue ................................................ Insurance Expense ............................................ Prepaid Insurance ......................................... Supplies Expense .............................................. Supplies ......................................................... Depreciation Expense--Building ...................... Accumulated Depreciation--Building ......... Depreciation Expense--Equipment .................. Accumulated Depreciation--Equipment..... Salaries and Wages Expense ............................ Salary and Wages Payable........................... Unearned Rent.................................................... Rent Revenue ................................................ 2,800 2,800 450 450 700 700 1,620 1,620 3,500 3,500 1,800 1,800 1,500 1,500
Prob. 45A
2.
Continued
HERITAGE COMPANY Adjusted Trial Balance April 30, 2006 Debit Balances 3,200 13,300 1,350 650 50,000 136,500 92,700 39,800 6,500 1,500 1,800 50,000 162,500 10,000 193,800 1,500 98,000 63,200 18,000 12,500 3,500 450 700 1,620 4,050 509,720 Credit Balances
Cash ................................................................................. Accounts Receivable ...................................................... Prepaid Insurance ........................................................... Supplies ........................................................................... Land ................................................................................. Building ........................................................................... Accumulated Depreciation--Building ........................... Equipment ....................................................................... Accumulated Depreciation--Equipment ....................... Accounts Payable ........................................................... Unearned Rent ................................................................ Salary and Wages Payable ............................................. Capital Stock ................................................................... Retained Earnings .......................................................... Dividends ......................................................................... Fees Revenue .................................................................. Rent Revenue .................................................................. Salaries and Wages Expense......................................... Advertising Expense ...................................................... Utilities Expense ............................................................. Repairs Expense ............................................................. Depreciation Expense--Equipment .............................. Insurance Expense ......................................................... Supplies Expense ........................................................... Depreciation Expense--Building................................... Miscellaneous Expense ..................................................
52,320
509,720
Prob. 45A
3.
Continued
HERITAGE EIGHT COMPANY Income Statement For the Year Ended April 30, 2006
Revenues: Fees revenue.............................................................. Operating expenses: Salaries and wages expense .................................... Advertising expense ................................................. Utilities expense ........................................................ Repairs expense ........................................................ Depreciation expense--equipment .......................... Depreciation expense--building .............................. Supplies expense ...................................................... Insurance expense .................................................... Miscellaneous expense ............................................. Total operating expenses .................................... Operating income ........................................................... Other income (loss): Rent revenue .............................................................. Net loss ............................................................................ 4. HERITAGE COMPANY Retained Earnings Statement For the Year Ended April 30, 2006 Retained earnings, May 1, 2005 ..................................... Net loss for the year ....................................................... Add dividends ................................................................. Decrease in retained earnings ....................................... Retained earnings, April 30, 2006 ..................................
$193,800 $ 98,000 63,200 18,000 12,500 3,500 1,620 700 450 4,050 202,020 $ (8,220) 1,500 $ (6,720)
$162,500 $ 6,720 10,000 16,720 $145,780
Prob. 45A
5.
Continued
HERITAGE COMPANY Balance Sheet April 30, 2006
Assets Current assets: Cash .................................................................. Accounts receivable ........................................ Prepaid insurance ........................................... Supplies............................................................ Total current assets ................................... Property, plant, and equipment: Land .................................................................. Building ............................................................ $136,500 Less accumulated depreciation ..................... 52,320 Equipment ........................................................ $ 92,700 Less accumulated depreciation ..................... 39,800 Total property, plant, and equipment ....... Total assets ........................................................... Liabilities Current liabilities: Accounts payable ............................................ Salary and wages payable .............................. Unearned rent .................................................. Total liabilities ....................................................... Stockholders' Equity Capital stock.......................................................... Retained earnings ................................................. Total stockholders' equity .............................. Total liabilities and stockholders' equity ............
$ 3,200 13,300 1,350 650 $ 18,500 $ 50,000 84,180 52,900 187,080 $205,580
$
6,500 1,800 1,500 $ 9,800
$ 50,000 145,780 195,780 $205,580
Prob. 45A
6. Apr.
Continued
193,800 1,500 195,300 202,020 98,000 63,200 18,000 12,500 3,500 450 1,620 700 4,050 10,000 10,000
30 Fees Revenue ............................................... Rent Revenue ............................................... Retained Earnings .................................. 30 Retained Earnings ........................................ Salaries and Wages Expense ................ Advertising Expense .............................. Utilities Expense ..................................... Repairs Expense ..................................... Depreciation Expense--Equipment ...... Insurance Expense ................................. Depreciation Expense--Building .......... Supplies Expense ................................... Miscellaneous Expense.......................... 30 Retained Earnings ........................................ Dividends.................................................
Prob. 45A
7.
Concluded
HERITAGE COMPANY Post-Closing Trial Balance April 30, 2006 Debit Balances 3,200 13,300 1,350 650 50,000 136,500 92,700 39,800 6,500 1,500 1,800 50,000 145,780 0 0 0 0 0 0 0 0 0 0 0 0 297,700 Credit Balances
Cash ................................................................................. Accounts Receivable ...................................................... Prepaid Insurance ........................................................... Supplies ........................................................................... Land ................................................................................. Building ........................................................................... Accumulated Depreciation--Building ........................... Equipment ....................................................................... Accumulated Depreciation--Equipment ....................... Accounts Payable ........................................................... Unearned Rent ................................................................ Salary and Wages Payable ............................................. Capital Stock ................................................................... Retained Earnings .......................................................... Dividends ......................................................................... Fees Revenue .................................................................. Rent Revenue .................................................................. Salaries and Wages Expense......................................... Advertising Expense ...................................................... Utilities Expense ............................................................. Repairs Expense ............................................................. Depreciation Expense--Equipment .............................. Depreciation Expense--Building................................... Insurance Expense ......................................................... Supplies Expense ........................................................... Miscellaneous Expense ..................................................
52,320
297,700
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Water Resources I Earth: The Water Planet A 71% of the earth is covered in water. 1. 97.4% is salt water, 2.6% is fresh 2. Of the fresh water about 87% is frozen in polar caps and glaciers, about 22% is groundwater and less than 1% is surface water (
Los Rios Colleges - BIO - 350
Name _ Empty Oceans, Empty Nets Study Questions Where is life in the ocean most concentrated? Over the continental shelf (near shore which makes it more accessible to humans) What is the first and simplest reason fish stocks are collapsing at faster
Lee - BUSN - 341
PRODUCTS AND SERVICES Macy's sells a wide-ranging assortment of merchandise that's helps customers express their personal style. It delivers fashion and affordable luxury to its customers at more than 800 locations in 45 states, the District of Colum
Lee - PED - 341
Dave Mason 1-21-08 PED341 Andrea Hudson When searching for a manager, there are certain traits that one should look for. However, some are more important than others. In my opinion, organization and experience are two of the most important and effect
Lee - PED - 341
David Mason Administration of P.E. and Sport Ms. Andrea HudsonWith the addition of two new feeder schools and new athletic facilities, I strongly believe that the organization of an intramural and sport club program would be extremely beneficial to
USC - EE - 201L
USC - EE - 201L
USC - EE - 201L
ee102_midterm1_Sp2005_Q5_4_alternative_solutions.fm5Alternative solutions to Q#5 of EE102L Spring 2005 Midterm #1 Serial Voting Machine: We want to design a serial voting machine which inspects THREE votes serially. In this design we need to prod
USC - MATH - 425B
MATH 425b MIDTERM 2 SOLUTIONS SPRING 2008 Prof. Alexander (1) Let A = f (x). Then f (x + hn + kn ) - f (x) = A(hn + kn ) + o(|hn + kn |) = Ahn + Akn + o(|hn | + |kn |) = [f (x + hn ) - f (x) + o(|hn |)] + [f (x + kn ) - f (x) + o(|kn |) = [f (x + hn
USC - MATH - 425B
MATH 425b ASSIGNMENT 1 SOLUTIONS SPRING 2008 Prof. Alexander Chapter 7 (1) Suppose fn f uniformly. Let > 0. There exists an N such that |fN - f | < . Since fN is bounded, there exists an MN such that |fN (x)| MN for all x. Then for all x, |f (x)|
USC - MATH - 425B
MATH 425b ASSIGNMENT 2 SOLUTIONS SPRING 2008 Prof. Alexander Chapter 7 (8) Since |cn I(x - xn )| |cn | and |cn | < , the series defining f converges uniformly by the Weierstrass M -test (Theorem 7.10.) Letting fn (t) = n cn I(x - xn ), this means th
USC - MATH - 425B
MATH 425b ASSIGNMENT 3 SOLUTIONS SPRING 2008 Prof. Alexander Chapter 7 (20) Let > 0. There exists a polynomial with |P - f | < (sup norm), say P (x) = N n n=0 cn x . f is bounded since it is continuous on the compact set [0, 1], so there exists M suc
USC - MATH - 425B
MATH 425b ASSIGNMENT 4 SOLUTIONS SPRING 2008 Prof. Alexander Chapter 8: (9)(a) Define f on [0, ) by f (x) = 1/n for x [n - 1, n), for all n 1. Then f (x) Also sN =1 N +11 f (x - 1) for all x 1. xN N(1)f (x - 1) dx =0f (x) dx = 1 +1
USC - MATH - 425B
MATH 425b ASSIGNMENT 5 SOLUTIONS SPRING 2008 Prof. Alexander Chapter 9: (3) If x = y then Ax - Ay = A(x - y) = 0, that is, Ax = Ay. This shows A is one-to-one. (4) Let T L(X, Y ), and let z Z = range(T ) = {y Y : y = T x for some x X}. We show Z
USC - MATH - 425B
MATH 425b ASSIGNMENT 6 SOLUTIONS SPRING 2007 Prof. Alexander Chapter 9: (7) Suppose E R is open, f : E R, and there exists M such that |(Dj f )(x)| M for all x E and all j M . Let x E and let B be a neighborhood of x with B E. Suppose x + h B
USC - MATH - 425B
MATH 425b ASSIGNMENT 7 SOLUTIONS SPRING 2008 Prof. Alexander Chapter 9: (23) f (x, y1 , y2 ) = x2 y1 +ex +y2 . Clearly f (0, 1, -1) = 0. We have (D1 f )(x, y1 , y2 ) = 2xy1 +ex so (D1 f )(0, 1, -1) = 1 = 0. In the notation of the Implicit Function Th
USC - MATH - 425B
MATH 425b ASSIGNMENT 9 SOLUTIONS SPRING 2007 Prof. Alexander Chapter 10: (16) Let ij = [p0 , ., pi-1 , pi , ., pj-1 , pj+1 , ., pk ] (the simplex with pi , pj missing.) Thenk =i=0 k(-1)i [p0 , ., pi-1 , pi+1 , ., pk ], =i=02(-1)ij<i(-
USC - MATH - 425B
MATH 425b IN-CLASS FINAL EXAM SOLUTIONS SPRING 2008 Prof. Alexander (1)(a) We calculate d = 2z dx dy dz, all other terms being 0. By Stokes Theorem, =A Ad.We can parametrize A by the identity soa a -a a a a -a ad =A -a -az dx dy dz =-a
USC - MATH - 425B
MATH 425b SAMPLE MIDTERM 1 SOLUTIONS SPRING 2008 Prof. Alexander (1)(a) The problem does not actually say if we are dealing with real or complex-valued functions (though C[0, 1] implicitly means real-valued), so I will give solutions for both cases.
USC - MATH - 425B
MATH 425b SAMPLE MIDTERM 2 SOLUTIONS SPRING 2008 Prof. Alexander (1) Let (t) = ty + (1 - t)x = x + t(y - x) for 0 t 1, and g(t) = f (t). By the chain rule, g (t) = f (t) (t) = f (t)(y - x). By the usual MVT for function on R, f (y) - f (x) = g(1) -
USC - MATH - 425B
MATH 425b TAKE-HOME FINAL EXAM SOLUTIONS SPRING 2008 Prof. Alexander (1)(a) Let (t) = pk + t(pk - pk ), t [0, 1], which traces a line from pk to pk . Let t = [p0 pk-1 (t)] be the corresponding simplex. Since these points are on opposite sides on
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 1Problem 1-1 Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/ms (b) km (c) ks/mg (d) km N Units Used: N = 10-6N kmkm = 109-6Gs = 10 s
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 2Problem 2-1 Determine the magnitude of the resultant force FR = F1 + F 2 and its direction, measured counterclockwise from the positive x axis. Given: F 1 = 600 N F 2 = 800 N F 3 = 450 N = 45 deg = 60 de
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 3Problem 3-1 Determine the magnitudes of F1 and F2 so that the particle is in equilibrium. Given: F = 500 N 1 = 45 deg 2 = 30degSolution: Initial Guesses F 1 = 1N Given+ Fx = 0; +F 2 = 1NF 1 cos (
Toledo - MIME - 3400
3-1Chapter 3 PROPERTIES OF PURE SUBSTANCESPure Substances, Phase Change Processes, Property Diagrams 3-1C Yes, since the chemical composition throughout the tank remain the same. 3-2C A liquid that is about to vaporize is saturated liquid; otherwi
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 4Problem 4-1 If A, B, and D are given vectors, prove the distributive law for the vector cross product, i.e., A ( B + D) = ( A B) + ( A D). Solution: Consider the three vectors; with A vertical. Note tria
Toledo - MIME - 3400
4-1Chapter 4 ENERGY ANALYSIS OF CLOSED SYSTEMSMoving Boundary Work 4-1C It represents the boundary work for quasi-equilibrium processes. 4-2C Yes. 4-3C The area under the process curve, and thus the boundary work done, is greater in the constant p
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 5Problem 5-1 Draw the free-body diagram of the sphere of weight W resting between the smooth inclined planes. Explain the significance of each force on the diagram.Given: W = 10 lb 1 = 105 deg 2 = 45 de
Toledo - MIME - 3400
5-1Chapter 5 MASS AND ENERGY ANALYSIS OF CONTROL VOLUMESConservation of Mass 5-1C Mass, energy, momentum, and electric charge are conserved, and volume and entropy are not conserved during a process. 5-2C Mass flow rate is the amount of mass flowi
Toledo - MIME - 3400
6-1Chapter 6 THE SECOND LAW OF THERMODYNAMICSThe Second Law of Thermodynamics and Thermal Energy Reservoirs6-1C Water is not a fuel; thus the claim is false.6-2C Transferring 5 kWh of heat to an electric resistance wire and producing 5 kWh of
Toledo - MIME - 3400
7-1Chapter 7 ENTROPYEntropy and the Increase of Entropy Principle7-1C No. The Q represents the net heat transfer during a cycle, which could be positive.7-2C No. A system may produce more (or less) work than it receives during a cycle. A st
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 7Problem 7-1 The column is fixed to the floor and is subjected to the loads shown. Determine the internal normal force, shear force, and moment at points A and B. Units Used: kN = 10 N Given: F 1 = 6 kN F 2
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 8Problem 8-1 The horizontal force is P. Determine the normal and frictional forces acting on the crate of weight W. The friction coefficients are k and s. Given: W = 300 lb P = 80 lb s = 0.3 k = 0.2 = 20
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 8 NB T = Find ( N , T , m , x) B D mD x Since x = 51.6 mm < b 2 NB 413.05 = N T 129.08 mD = 25.6 kg x = 0.052 m= 125 mm our assumption is correctmD = 25.6 kgProblem 8-106 Block A
Drexel - MEM - 202
Engineering Mechanics - StaticsChapter 10Problem 10-1 Determine the moment of inertia for the shaded area about the x axis. Given: a = 2m b = 4mSolution: y 2 Ix = 2 y a 1 - d y b 0bIx = 39.0 m4Problem 10-2 Determine the moment of i
SUNY Albany - MAT - 364
Math 364 Ordinary Differential Equations Instructor: Bob Snyder Office: College Center, 2nd Floor Office phone: Ext. 7211 (528-7211) E-mail: rls@simons-rock.edu Office Hours: MW11 am - 12 noon, T 2 - 4pmSpring 2008This is an introductory course o
University of New Orleans - HUMS - 1090
Page 2 Humanities 1090 Mythology This statue is currently the largest piece of indoor sculpture in the Western World, standing almost 42 feet tall. It is a replica of the Athena Parthenos by Phidias. The replica stands in the inner chamber of the ful
University of New Orleans - HUMS - 1090
Page 3 Humanities 1090 MythologyAthena - MinervaGODDESS OF:PEACE AND WISDOM WISE COUNSELMILITARY VICTORYHEROIC ENDEVOURSAthena was one of the twelve great Olympian deities. She was the virgin goddess of wisdom and war, and patroness of the ar
University of New Orleans - HUMS - 1090
Page 4 Humanities 1090 Mythology Out of sadness and regret, Athena carved a statue of Pallas from a tree trunk. She set the image up beside Zeus, in Olympus. When Electra, whom Zeus had seduced, was trying to get away from Zeus. She hid behind the Pa
University of New Orleans - HUMS - 1090
Page 5 Humanities 1090 MythologyAthena comparisonAthena Piraeus 350 BC ClassicalAthena 1939 Paul Klee10"Athena was an active goddesses, aiding heroes and adventurers, who included Perseus, Hercules, Jason and Odysseus. Although she was a vir
St. Cloud - CPSY - 428
CPSY 428 4/30/07 Analyzing The Glass Castle Family Before analyzing the dynamics and issues that the Walls' faced as a family, it is helpful to provide definitions of what family can be. The US Census Bureau (n. d.) defines family as "to or more peop
St. Cloud - CPSY - 428
Aging FamiliesCPSY 428 Jennifer Connor, PhD, LMFTLonger Life ExpectancyWhat is the result of living longer?Living ArrangementsLiving with family Living in separate household Congregate housing Assisted living Nursing homeCultural and