Solve the problem.A container, in the shape of an inverted right circular cone, has a radius of 8 inches at the top and a height of 10 inches. At the instant when the water in the container is 9 inches deep, the surface level is falling at the rate of -2 in./s. Find the rate at which water is being drained.

A. -325.71 in.3/s
B. -311.04 in.3/s
C. -456 in.3/s
D. -286.5 in.3/s


Answer: A

Mathematics

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Solve the equation or inequality. Write inequality solutions in interval notation. = 

A. -44 B. -4 C. 44 D. 4

Mathematics

Solve the problem. Assume that simple interest is being calculated in each case. Round the answer to the nearest cent unless otherwise indicated.Annie's cafe borrows $5300 at 5% for 140 days. Find the total amount that must be repaid after 140 days. (Use a 365 day year.)

A. $5401.64 B. $5565.00 C. $5310.16 D. $6316.44

Mathematics

Solve the problem.Matthew obtains a 25-year $149,000 house loan with an APR of 8.04%. What is his monthly payment?

A. $1153.96 B. $1384.75 C. $923.17 D. $1615.54

Mathematics

Solve the problem.A decorative slate centerpiece for a kitchen island has the shape of a rectangle with a semicircular section attached at each end. The radii of the semicircles measure  inches. The perimeter of the centerpiece is 52 inches. Write a completely factored polynomial whose values give the area of the centerpiece.

A. x(104 - ?x)
B. x(52 - ?x)
C. x(52 - ?x)
D. x(104 - ?x)

Mathematics