Solve the problem.A retired couple has $160,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 6%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $16,800 per year?

A. $130,000 at 12% and $30,000 at 6%
B. $120,000 at 12% and $40,000 at 6%
C. $120,000 at 6% and $40,000 at 12%
D. $110,000 at 6% and $50,000 at 12%


Answer: B

Mathematics

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Solve the problem.A swimming pool has the shape of a box with a base that measures 28 m by 13 m and a depth of 3.5 m. How much work is required to pump the water out of the pool when it is full?

A. 21,849,100 J B. 81,934,125 J C. 2,229,500 J D. 43,698,200 J

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Let p, q, and r represent the following simple statements: p: There is a blizzard outside. q: We do not have to go to school. r: We go sledding.First place parenthesis as needed before and after the most dominant connective and then translate the symbolic statement into English. r ? p ? q

A. We go sledding if there is a blizzard outside, and we do not have to go to school. B. We go sledding if and only if there is a blizzard outside, and we do not have to go to school. C. We go sledding if and only if there is a blizzard outside and we do not have to go to school. D. If we go sledding then, there is a blizzard outside and we do not have to go to school.

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Solve the problem.Suppose that $5000 is invested at an interest rate of 5.7% per year, compounded continuously. What is the doubling time?

A. 12.2 years B. 13.2 years C. 2 years D. 11.2 years

Mathematics

Find the y-intercept of the polynomial function.f(x) = -x2(x + 4)(x - 7)

A. 0 B. 28 C. -7 D. -28

Mathematics