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


Answer: D

Mathematics

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Solve the problem. Assume all data are accurate to two significant digits unless greater accuracy is given.Two cities are 81.4km apart. Vehicle A leaves one city at the same time vehicle B leaves the other. Find the speed of vehicle A if it travels 6.5 km/h faster than vehicle B and if they pass in 14.7 minutes.

A. 6.0 km/h B. 169.4 km/h C. 166.3 km/h D. 162.9 km/h

Mathematics

Solve the problem.In a two-card hand, what is the probability of holding only hearts?

A.
B.
C.
D.

Mathematics

Simplify the expression.

A. 1 B. 0 C. -x D. x

Mathematics

Find the real solutions, if any, of the equation. Use the quadratic formula.x2 + 4x - 9 = 0

A. {-2 - 1, -2 + 1}
B. {2 + }
C. {-1 - , -1 + }
D. {-2 - , -2 + }

Mathematics