Solve the problem.Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function  where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?

A. 28.8%; $272 million
B. 27.0%; $379 million
C. 30.9%; $382 million
D. 38.4%; $383 million


Answer: C

Mathematics

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Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: portion of the sphere x2 + y2 + z2 = 1 that lies in the first octantDensity: constant

A.
B.
C.
D.

Mathematics

Find a formula for the inverse of the function described below.32° Fahrenheit = 0° Celsius. A function that converts temperatures in Fahrenheit to those in Celsius is .

A. f-1(x) = x + 32
B. f-1(x) = x + 32
C. f-1(x) = (x - 32)
D. f-1(x) = x - 32

Mathematics

Provide an appropriate response.Solve the following system of equations by reduction.

What will be an ideal response?

Mathematics

Add or subtract as indicated.(22x2y2 + 6y4) - (-8x4 - 11x2y2 + 6y4)

A. 8x4 + 33x2y2 B. -8x4 + 11x2y2 + 12y4 C. 8x4 + 33x2y2 - 12y4 D. 41x6y4

Mathematics