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Unformatted text preview: Math 1260  Fall 2009 Test # 2 NAME
SHOW ALL YOUR WORK FOR FULL CREDIT! [3] 1. Find the sum of the ﬁrst 7 terms of the geometric sequence given by a = 4 and r = ~2. ~ ~n' — '28”
SHZOH'D K9~L+(l > "" ~—— 7.
(w ‘, 7 ~ ' ( —— 13:1
__. q (C93 "'3 /  if?) [4] 2. At the end of every quarter, Austin puts $500 into an investment that yields 4% compounded
quarterly. How much will he have in the investment at the end of 12 years? [4] 3. Find the present value of an ordinary annuity that consists of semiannual payments of $1300 for 8
years at 7% compounded semiannually. [5] 4. Mary has a 30 year mortgage of $125,000 at 6% compounded monthly. Find the monthly payment needed to amortize her mortgage. _ C. —3 C» I 7. [(25 ,QOO “: [4] 5. Find the equation of the line that passes through the points (4,7) and (3, 5). State your answer in
slopeintercept form. 7. Ron starts a driveway sealing business. He charges $160 per driveway, and his marginal cost for supplies
is $35 per driveway. If his total cost for sealing 40 driveways is $2150, then ﬁnd each of the following: [3] a. Find the cost function, C(x). [l] b. Find the revenue function, R(x) . _— .____ _. 7—.._ ._____—'—__— #_._—_——________—__ ..—. 8. Mr. Wilson opens a pizza shop that sells just one size of pizza. The business has a cost function of
C(x) = 3x + 3600 and a revenue function of R(x) =11x , where x represents the number of pizzas sold. [2] a. Find the proﬁt function for the buvsiness. [2] b. How many pizzas must Mr. Wilson sell to break
960 1‘ 12M " CCX , .
I 1 I a 3 , .
man—mm 00 mo : 8x Supply: p = S(q) = 7q + 12 Demand: p = D(q) = 652 — 3q
[3] a. Find the equilibrium quaStity. [1] b. Find the equilibrium price. . S(q); DEL T .,
76L”? 55;.”31/ ' :7 +1.; [2] 11. State the domain of each of the following functions: 3 f(x) = b. f(x) = 1/6x + 4 6X4“ 3x "(9) .i O
32: r 12
3 1’2. :
X751 IW .
12. Given the following data, Find: [5] a. The equation of the least squares line. Future Value Ordinary Annuity; S = R[(1+ r) 1]
I z TOTAL SCORE Present Value Ordinary Annuity: P = R[1 _ (1 0 ]
~ 1
 , "1  a(r” 1)
Geometrlc Sequences: n th term: ar Sum of ﬁrst n terms: Sn = 1 .
r “'1'
Method of least squares: .
nExy(ExXZy) b=Eym(2x) r: n(2xy)(2x)(2y) m: "(216542202  n Jaws(Ex):Mama—(2)»): ...
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 Fall '09
 SIMON
 Calculus, Mr. Wilson, value ordinary annuity

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