Solve the problem.Suppose a cost-benefit model is given by  where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 75%, to the nearest dollar.

A. $2100
B. $2800
C. $3000
D. $8400


Answer: D

Mathematics

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Determine if the series converges absolutely, converges, or diverges.

A. Diverges B. Converges conditionally C. Converges absolutely

Mathematics

Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 17x - 0.3x3, for |x| ? 9. How much work is done in stretching the spring from its equilibrium position (x = 0) to x = 1? Round to two decimal places when appropriate.

A. 8.43 J B. 392.85 J C. 196.43 J D. 16.7 J

Mathematics

Given f(x) and g(x), find the indicated composition and evaluate.f(x) = -4x - 8; g(x) = -2x2 + 2x + 6Find (f ? g)(-3).

A. -18 B. 64 C. -32 D. 6

Mathematics

Answer the question.The points (-6, 7) and (-4, 5) are the points at which a particular diameter of a circle intersects the circle. What are the coordinates of the center of the circle?

A. (-4, 6) B. (-4, 7) C. (-5, 7) D. (-5, 6)

Mathematics