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SUNY Plattsburgh | MAT 133
64 sample documents related to MAT 133
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SUNY Plattsburgh MAT 133
Math 133 Practice Exam 3 Solution 14 November 2008 1. The height of the Gateway Pine increases by 4 inches per year. The Gateway Pine is 5 feet tall this year. How tall will it be ten years from now? Solution: This is an example of linear growth. -
SUNY Plattsburgh MAT 133
Math 133 Practice Exam 1 Solution 17 September 2008 1. Convert 6 days to units of minutes. Solution: We know that 1 day = 24 hours and 1 hour = 60 minutes. To get from days to minutes, our conversion factors are 24 hours 60 minutes and . 1 day 1 -
SUNY Plattsburgh MAT 133
Math 133 Hour Exam 1 Solution 17 September 2008 1. The density of water is about 0.036 pounds per cubic inch. Find the density of water in units of pounds per cubic foot. pounds pounds Solution: We need to convert 0.036 . Our conversion factor 3 -
SUNY Plattsburgh MAT 133
Math 133 Unit 7 Examples Conversions within the metric system Spring 2009 Example 7.1 Convert 15 kilometers to units of meters. 1000 meters Solution: The prefix \"kilo-\" means 1000, so our conversion factor is . We 1 kilometer get 15 kilometers 10 -
SUNY Plattsburgh MAT 133
Math 133 Unit 4 Exercises Multiplying and dividing using scientific notation Spring 2009 Exercise 4.1 Compute the following products without using a calculator. Write your answers using scientific notation. a. (3 104 ) (2 10-9 ) b. (5 10-2 ) -
SUNY Plattsburgh MAT 133
Math 133 Unit 2 Exercises Multiplying and dividing powers of ten Spring 2009 Exercise 2.1 Compute the following. Write the answers as powers of ten. a. 103 107 b. 105 10-2 106 c. 102 105 d. 10-4 105 e. 107 f. 106 10-9 g. 10-2 10-5 Exercise 2.2 -
SUNY Plattsburgh MAT 133
Math 133 Exercise 7.1 a. 350 millimeters b. 22.5 deciliters Answers to Exercises Unit 7 Spring 2009 c. 0.877 kilometers d. 64.8 kilometers per hour e. About 3056 centimeters per second f. 0.585 grams Exercise 7.2 a. 38,000 square centimeters or 3 -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 5 Spring 2009 Exercise 5.1 600 watt-hours Exercise 5.2 About 1190 pounds Exercise 5.3 26 2 cubic yards; we should probably order 27. 3 Exercise 5.4 $1.70 per pound Exercise 5.5 10 million foot-pounds Exercise 5. -
SUNY Plattsburgh MAT 133
Math 133B Quiz #1 1. Write the number one ten-billionth as a power of 10. Solution 2 February 2009 Solution: Since one billion is 109 , we know ten billion is 1010 , so one ten-billionth is 1010 . 2. Compute one hundred thousand divided by one one -
SUNY Plattsburgh MAT 133
Math 133 Exercise 9.1 a. 5.9 meters b. 386 millimeters c. 249 kilometers d. 9.8 inches e. 172 feet f. 44.7 miles g. 325.3 miles Exercise 9.2 a. 810 square feet Answers to Exercises Unit 9 Spring 2009 b. 2.59 squre kilometers c. 3.79 liters d. 6.3 -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 8 Spring 2009 Exercise 8.1 About 30,000 foot-pounds Exercise 8.2 About 33,000 foot-pounds Exercise 8.3 About 46 miles per hour Exercise 8.4 About 500 seconds. Better: About 5.0 102 seconds, because two digits a -
SUNY Plattsburgh MAT 133
Math 133 Exercise 3.1 a. 3,560,000 b. 2,220 c. 0.00062 d. 71,500,000,000 e. 0.000000115 Exercise 3.2 a. 6.6 107 b. 5.2 105 Answers to Exercises Unit 3 Spring 2009 c. 1.7 101 or 1.7 10 d. 5.8 104 e. 2.752 103 f. 5.56 101 Exercise 3.3 a. 5 -
SUNY Plattsburgh MAT 133
Math 133 Exercise 4.1 a. 6 105 b. 3 107 c. 2 108 d. 3 109 Exercise 4.2 a. 2 106 Answers to Exercises Unit 4 Spring 2009 b. 5 101 or 5 10 c. 1.25 102 d. 8 105 Exercise 4.3 a. 1.5 1011 ; 150 billion b. 6 1012 ; six trillion c. 4 102 ; f -
SUNY Plattsburgh MAT 133
Math 133 Unit 1 Exercises Naming the powers of ten Spring 2009 Exercise 1.1 Write the following numbers as powers of ten. a. 0.00001 b. 100,000,000 c. 10,000,000,000 d. 0.001 Exercise 1.2 Write the following numbers as powers of ten. a. ten millio -
SUNY Plattsburgh MAT 133
Math 133 Unit 3 Exercises Converting to and from scientific notation Spring 2009 Exercise 3.1 Write the following numbers using ordinary notation. a. 3.56 106 b. 2.22 103 c. 6.2 10-4 d. 7.15 1010 e. 1.15 10-7 Exercise 3.2 Write the following -
SUNY Plattsburgh MAT 133
Math 133 Exercise 2.1 a. 1010 b. 103 c. 104 d. 109 e. 10-2 f. 10-3 g. 10-7 Exercise 2.2 a. ten thousand b. ten billion c. one hundred Answers to Exercises Unit 2 Spring 2009 d. one one-hundred-thousandth e. one one-hundredth -
SUNY Plattsburgh MAT 133
Math 133 Exercise 1.1 a. 10-5 b. 108 c. 1010 d. 10-3 Exercise 1.2 a. 107 b. 10-5 c. 1011 d. 10-6 Exercise 1.3 Answers to Exercises Unit 1 Spring 2009 a. 100,000,000; one hundred million b. 0.000000001; one one-billionth c. 10,000,000,000; ten bil -
SUNY Plattsburgh MAT 133
Unit 9 in-class exercises 1. Convert 3650 grams per square centimeter to units of pounds per square inch. 2. Convert 65 miles per hour to units of meters per second. 3. Convert 25 ounces per cubic inch to units of grams per cubic centimeter. 4. Conve -
SUNY Plattsburgh MAT 133
Math 133 Exercise 6.1 a. 36 feet Answers to Exercises Unit 6 Spring 2009 b. About 0.0568 miles c. 13,200 feet d. 0.5 yards Exercise 6.2 a. About 29.3 feet per second b. About 1.705 miles per hour c. About 2.98 miles per hour d. About 81.8 miles p -
SUNY Plattsburgh MAT 133
Math 133 Unit 18 Examples Solving for the time variable Spring 2009 Example 18.1 A savings account offers an interest rate of 4.35% (APR) compounded monthly. If we make an initial deposit of $2,300 and no further deposits, when will the balance in -
SUNY Plattsburgh MAT 133
Math 133 Unit 13 Examples Successive changes using percentages Spring 2009 Example 13.1 At the beginning of 2005, the population of Deltaville was 15,000. The population increased by 4.5% in 2005, and then decreased by 5.5% in 2006. What was the p -
SUNY Plattsburgh MAT 133
Math 133 Unit 24 Examples Installment loans: Determining the payment Spring 2009 Example 24.1 Thomasina\'s bank offers loans at 8.5% (APR), compounded monthly. Thomasina borrows $25,000, and plans to repay the loan in regularly monthly payments spr -
SUNY Plattsburgh MAT 133
Math 133 Unit 26 Examples Voting systems Spring 2009 Consider the following preference schedule. First Second Third Fourth B D C A D D A D D A C C A C B A B B B C 20 15 10 8 7 C A B D 6 Example 26.1 Which candidate wins by the method of Plurality -
SUNY Plattsburgh MAT 133
Math 133 Unit 16 Examples Finding the initial principal Spring 2009 Example 16.1 A savings account pays 4.15% (APR) interest, compounded monthly. How large an initial deposit will we need in order to have $6,500 in the account eight years from now -
SUNY Plattsburgh MAT 133
Math 133 Unit 23 Examples Installment loans Spring 2009 Example 23.1 Jonah borrows $4,000 at an interest rate of 8.2% (APR) compounded monthly. He repays the loan in monthly installments of $100. Make a table showing the amount that Jonah still ow -
SUNY Plattsburgh MAT 133
Math 133 Unit 11 Examples Percentage change Spring 2009 Example 11.1 Warren\'s salary last year was $42,500. At the beginning of this year, he was given a 3.5% raise. What is Warren\'s salary this year? Solution: Warren\'s new salary is 3.5% more tha -
SUNY Plattsburgh MAT 133
Math 133 Unit 22 Examples Savings plans: When questions Spring 2009 Example 22.1 Aaron makes monthly deposits of $180 into a savings plan that pays 4.25% (APR) interest, compounded monthly. How many deposits will he make before the value of his sa -
SUNY Plattsburgh MAT 133
Math 133 Unit 10 Examples Basic percentages Spring 2009 Example 10.1 What is 18% of 15,400? Solution: Recalling that percent means divided by 100 and of (in this context) means times, we get 18 15,400 = 2772. 100 Alternatively, we could use the p -
SUNY Plattsburgh MAT 133
Math 133 Hour Exam 2 Solution 25 March 2009 1. Only 17% of the books in Michaela\'s library are paperbacks. At last count, Michaela\'s library contained 42 papberback books. How many books are there in Michaela\'s library altogether? Solution: Let x -
SUNY Plattsburgh MAT 133
Math 133 Unit 19 Examples Savings plans Spring 2009 Example 19.1 Joan begins a savings plan with monthly deposits of $250. The bank pays 5.6% interest (APR) compounded monthly. a. Make a table showing the value of Joan\'s account at the end of each -
SUNY Plattsburgh MAT 133
Math 133 Unit 12 Examples Percentages of percentages Spring 2009 Example 12.1 Between 1960 and 2009, the percentage of the U.S. population composed of people over 65 increased from 9.2% to 13.2%. Describe this change in terms of percentages points -
SUNY Plattsburgh MAT 133
Math 133 Unit 8 Exercises Rounding and significant digits Spring 2009 Instructions: Give each answer using the appropriate number of significant digits. Exercise 8.1 A force of 4000 pounds is applied over a distance of 8.2 feet. How much work is d -
SUNY Plattsburgh MAT 133
Math 133 Unit 13 Exercises Successive changes using percentages Spring 2009 Exercise 13.1 The population of Lodestone County, which was only 125,000 at the beginning of 2005, has increased by 8% every year since then. What was the population of Lo -
SUNY Plattsburgh MAT 133
Math 133 Unit 7 Exercises Conversions within the metric system Spring 2009 Exercise 7.1 Convert the following. a. 35 centimeters to units of millimeters b. 2.25 liters to units of deciliters c. 877 meters to units of kilometers d. 18 meters per se -
SUNY Plattsburgh MAT 133
Math 133 Unit 4 Examples Multiplying and dividing using scientic notation Spring 2009 Example 4.1 Compute (4 105 ) (2.1 104 ) and give the answer in scientic notation. Solution: We have (4 105 ) (2.1 104 ) = (4 2.1) (105 104 ) = 8.4 109 -
SUNY Plattsburgh MAT 133
Math 133 Unit 6 Examples Conversions with English units Spring 2009 Example 6.1 Convert 165 inches to units of yards. 1 foot 1 yard Solution: We use the conversion factors and . Each of these is 12 inches 3 feet numerically equal to 1, so we just -
SUNY Plattsburgh MAT 133
Math 133 Unit 25 Examples Present value of a revenue stream Spring 2009 Example 25.1 Find the present value of a sequence of twelve monthly payments of $700 each, assuming the inflation rate is 4%. Compare this with the value of a single payment o -
SUNY Plattsburgh MAT 133
Math 133 Exercise 15.1 $2,996.71 Answers to Exercises Unit 15 Spring 2009 Exercise 15.2 $13,392.52 Exercise 15.3 $7,442.15 Exercise 15.4 $2,070.69 Exercise 15.5 5.3903% Exercise 15.6 2.8910% -
SUNY Plattsburgh MAT 133
Math 133 Exercise 12.1 37% Exercise 12.2 3.0% Exercise 12.3 1.88% Exercise 12.4 86% Answers to Exercises Unit 12 Spring 2009 Exercise 12.5 13 percentage points, or 22% Exercise 12.6 Four percentage points, or 14%. Exercise 12.7 An increase of 21. -
SUNY Plattsburgh MAT 133
Math 133 Unit 6 Exercises Conversions with English units Spring 2009 Exercise 6.1 Convert the following lengths. a. 12 yards to units of feet b. 100 yards to units of miles c. 2.5 miles to units of feet d. 18 inches to units of yards Exercise 6.2 -
SUNY Plattsburgh MAT 133
Math 133 Unit 9 Exercises Conversions between measurement systems Spring 2009 Instructions: Use the following conversion formulas: Length: 1 inch = 2.54 centimeters (exactly) Volume: 1 quart 0.946353 liters Mass or Weight: 1 pound 453.592 grams. -
SUNY Plattsburgh MAT 133
Math 133 Hour Exam 1 Repeat Solution 2 March 2009 1. Compute the following. Write the answers using scientic notation, rounded to the appropriate number of signicant digits. (a) (6.523 108 ) (2.46 1015 ). Solution: The calculator gives 6.523 -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 21 Spring 2009 Exercise 21.1 $285.77; $17,146.20 Exercise 21.2 $526.87 Exercise 21.3 $516.78; $16,536.96; $3,463.04 Exercise 21.4 Ursula: $297.47; Vernon: $327.65 Exercise 21.5 $126.06 Exercise 21.6 $49.72 -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 26 Spring 2009 Exercise 26.1 D; no majority. Exercise 26.2 D Exercise 26.3 Eliminate A, then E, then C, then B. D wins. Exercise 26.4 Eliminate E, then D, then C, then A. B wins. Exercise 26.5 A: 91; B: 115; C: -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 27 Two-person runo Sequential runo Spring 2009 Borda count Plurality 1. Majority 2. Condorcet 3. Monotonicity 4. Independence S V S V S S V S V V V: Criterion may be violated; S: Criterion is always sati -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 19 Spring 2009 Exercise 19.1 Value: $16,872.02; Interest: $1,872.02 Exercise 19.2 The sum of the deposits is $48,000. The nal value of the investment is $70,550.35. Exercise 19.3 $100,912.77. Exercise 19.4 Month -
SUNY Plattsburgh MAT 133
Math 133 Exercise 10.1 a. 228.9 b. 51.8 c. 90,720 Exercise 10.2 10,500 Exercise 10.3 484 Answers to Exercises Unit 10 Spring 2009 Exercise 10.4 2.484 million dollars Exercise 10.5 1909 students Exercise 10.6 $62.53. Actually, it could be anything -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 25 Spring 2009 Exercise 25.1 Revenue stream: $38,006.30; Single payment: $22,072.77. Exercise 25.2 $94,622.27 Exercise 25.3 The immediate payment is worth more; the revenue stream is worth only $8,959.03 Exercis -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 17 Spring 2009 Exercise 17.1 Solve the following for x by inspection. a. x = 2 b. x = 5 c. x = 4 d. x = 0 Exercise 17.2 Use a calculator to solve the following for x. Give each answer to five significant digits. -
SUNY Plattsburgh MAT 133
Math 133 Exercise 20.1 19,531 Exercise 20.2 29,524 Answers to Exercises Unit 20 Spring 2009 Exercise 20.3 About 86.94947 Exercise 20.4 About 94.46079 Exercise 20.5 About 170.3947 Exercise 20.6 About 73.3001 Exercise 20.7 About 254.7611 Exercise 2 -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 22 Spring 2009 Exercise 22.1 86 months; $15,189.70; $12,900. Exercise 22.2 In the 119th month; $8,706.42. Exercise 22.3 Six years. Exercise 22.4 In 25 years and 5 months; $140,573.54. Exercise 22.5 201 weeks. Ex -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 28 Spring 2009 2 1 1 Exercise 28.1 , , 3 6 6 The strongest voter has four times as much power as the weakest. 3 1 1 1 Exercise 28.2 , , , 4 12 12 12 The strongest voter has nine times as much power as the weakes -
SUNY Plattsburgh MAT 133
Math 133 Exercise 14.1 $1320.38 Exercise 14.2 $771.67. Answers to Exercises Unit 14 Spring 2009 Exercise 14.3 Ed\'s Bank is slightly better, with an APY of about 2.8806%, compared with Ted\'s 2.88%. Exercise 14.4 Two years: $16,247.14; four years: -
SUNY Plattsburgh MAT 133
Math 133 Exercise 23.1 Month 0 1 2 3 4 5 6 7 8 Answers to Exercises Unit 23 Amount owed $ 10000.00 9979.17 9958.12 9936.85 9915.36 9893.64 9871.70 9849.53 9827.13 Spring 2009 Exercise 23.2 First payment: $104.17 is interest; $20.83 goes toward th -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 13 Spring 2009 Exercise 13.1 About 170,000 (the exact value is 170,061) Exercise 13.2 About $266,000 Exercise 13.3 $2.50 Exercise 13.4 A decrease of about 1.79% Exercise 13.5 $85.81 Exercise 13.6 The value has d -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 18 Spring 2009 Exercise 18.1 About 3.20 years. Exercise 18.2 About 9.45 years. Exercise 18.3 About 2.19 years Exercise 18.4 About 11.18 years. Exercise 18.5 About 47.19 years; About another 14.20 years. -
SUNY Plattsburgh MAT 133
Math 133 Exercise 16.1 $4,796.12 Answers to Exercises Unit 16 Spring 2009 Exercise 16.2 $11,477.31 Exercise 16.3 $19,474.08 Exercise 16.4 $23,212.65 Exercise 16.5 $4,443.48 -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 11 Spring 2009 Exercise 11.1 15.75 grams Exercise 11.2 $15.71 Exercise 11.3 About 3.05 arrests per week Exercise 11.4 0.5 gigabytes, or 500 megabytes Exercise 11.5 About 12% Exercise 11.6 $11.30, which is about -
SUNY Plattsburgh MAT 133
Math 133 Answers to Exercises Unit 24 Spring 2009 Exercise 24.1 $521.45; $3772.20 Exercise 24.2 $22.12; $1150.24 Exercise 24.3 $871.11; $541.67; $329.44; About $56,799. Exercise 24.4 $645.28; About $132,300. Exercise 24.5 $751.19; $1423.37 Exerci -
SUNY Plattsburgh MAT 133
Math 133 Unit 25 Exercises Present value of a revenue stream Spring 2009 Exercise 25.1 Find the present value of a sequence of monthly payments of $250 each, extending over the next twenty years. Assume the inflation rate is 5%. Compare this with -
SUNY Plattsburgh MAT 133
Math 133 Unit 21 Examples Savings plans: Determining the payment Spring 2009 Example 21.1 Ray\'s bank offers a savings account that pays interest at 5.23% (APR), compounded monthly. Ray wants to make monthly deposits just large enough so that he wi -
SUNY Plattsburgh MAT 133
Math 133 Unit 27 Exercises Voting systems and fairness criteria Spring 2009 The four voting fairness criteria are The Majority Criterion If candidate X has rst-place votes from a majority of the voters, then X should win. The Condorcet Criterion I -
SUNY Plattsburgh MAT 133
Math 133B Quiz #5 Solution 6 April 2009 1. Harriet borrows $13,000 from a bank that charges an interest rate of 9.65%, compounded continuously. If she makes no payments for four years, how much does Harriet owe to the bank four years after borrowin -
SUNY Plattsburgh MAT 133
Math 133 Unit 5 Examples Problem-solving with English units Spring 2009 Example 5.1 I rode my motorcycle 160 miles, burning 3.2 gallons of gasoline. What was the motorcycle\'s fuel efficiency, in miles per gallon? Solution: We\'re given the quantiti
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