Mathematical Applications for the Management, Life, and Social Sciences 11th Edition by Ronald J. Ha

 
31. The total price of a new car (including 5% sales tax) is $28,068. How much of this is tax? Round your answer to the nearest cent.
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 a. $1,333.23
 b. $7,484,219.93
 c. $2,806.80
 d. $2,666.46
 e. $1,336.57
 
ANSWER:  e
 
32. Suppose a professor counts the final exam as being equal to each of the other tests in her course, and she will also change the lowest test score to match the final exam score if the final exam score is higher. If a student’s four test scores are 85, 83, 54, and 95, what is the lowest score the student can earn on the final exam and still obtain at least an 80 average for the course?
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 a. 69
 b. 83
 c. 90
 d. 72
 e. 84
 
ANSWER:  b
 
33. A retired woman has $130,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier one that has an annual yield of 13%. How much should she invest in the fund yielding 9% if she would like to earn $14,000 per year from her investments?
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 a. $11,700
 b. $16,900
 c. $57,500
 d. $72,500
 e. $113,100
 
ANSWER:  d
 
34. One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,400 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at in the 18% rate fund?
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 a. $77,150
 b. $68,250
 c. $104,600
 d. $83,680
 e. $54,600
 
ANSWER:  b
 
35. In wildlife management, the capture-mark-recapture technique is used to estimate the populations of fish or birds in an area or to measure the infestation of insects such as Japanese beetles. Suppose 100 individuals of the species being studied are caught, marked, and released, and one week later 100 more are caught. To estimate the total number of individuals, the following relationship is used:
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Suppose that 1000 beetles are captured, marked, and released. Suppose further that in the second capture of 1000 it is found that 61 are marked. What is the population estimate?
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 a. 61,000
 b. 269
 c. 61
 d. 16,393
 e. 3,721
 
ANSWER:  d
 
36. For a certain product, the revenue function is  and the cost function is . To obtain a profit, the revenue must be greater than the cost. Find the graph of x which shows when there is a profit.
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 a. ​ 
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 b. ​ 
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 c. ​ 
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 d. ​ 
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 e. ​ 
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ANSWER:  e
 
37. Thrifty rents a compact car for $33 per day, and Budget rents a similar car for $21 per day plus an initial fee of $96. Which of the following graphs depicts the number of days for which it would be cheaper to rent from Budget?
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 a. ​ 
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 b. ​ 
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 c. ​ 
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 d. ​ 
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 e. ​ 
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ANSWER:  b
 
38. In Sweetwater, Arizona, water bills are taxed on the basis of the amount of the monthly bill in order to encourage conservation. If the bill is more than $0 but less than $40, the tax is 3% of the bill; if the bill is $40 or more but less than $60, the tax is 5% of the bill; and if the bill is $60 or more, the tax is 7% of the bill. Choose the inequalities that represent the amounts of tax owed in these three cases, where T is the tax to be paid and B is the monthly bill.
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 a. ​If , then 
If , then 
If , then 
 
 b. ​If , then ​
If , then 
If , then 
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 c. ​If , then 
If , then 
If , then ​
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 d. ​If , then 
If , then 
If , then ​
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 e. ​If , then 
If , then 
If , then 
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ANSWER:  c
 
39. The percent p of high school seniors who smoke cigarettes can be modeled by the equation 
, where t is the number of years past 1975. Find the year in which p first becomes negative. Round your answer to the nearest year.