Solve.Joytown has a present population of 40,000 and the population is increasing by 2.5% each year. How long will it take for the population to double? Round your answer to the nearest year.

A. 28 years
B. 29 years
C. 41 years
D. 40 years


Answer: A

Mathematics

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Find the expected value.Experience shows that a ski lodge will be full (162 guests) if there is a heavy snow fall in December, while only partially full (80 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40? Assume that heavy snowfall and light snowfall are the only two possibilities.

A. 97.2 B. 129.2 C. 64.8 D. 112.8

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Solve the problem.A company determines that its cost (in dollars) of producing x machine parts is given by  and that its revenue (in dollars) for selling x machine parts is given by . Write a system of inequalities that would represent the profit region for producing x machine parts. Then graph the system. 

A. C ? 0.2x2 + 2
R ? 12x - 0.2x2

B. C ? 0.2x2 + 2
R ? 12x - 0.2x2

C. C ? 0.2x2 + 2
R ? 12x - 0.2x2

D. C ? 0.2x2 + 2
R ? 12x - 0.2x2

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Solve the problem.Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of a diameter.

A. (x + 1)2 + (y + 1)2 = 34 B. (x - 1)2 + (y - 1)2 = 136 C. (x - 1)2 + (y - 1)2 = 34 D. (x + 1)2 + (y + 1)2 = 136

Mathematics

Find the specified quantity.Find the phase shift of y = -5 - 3 sin .

A. - 
B. - 
C.
D.

Mathematics