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. 29.7%; $467 million
B. 31.4%; $464 million
C. 28.1%; $470 million
D. 26.5%; $469 million
Answer: D
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Name the correct property to make the sentence true.10t is equivalent to t10 by the
A. commutative law for addition. B. associative law for multiplication. C. commutative law for multiplication. D. distributive law.
Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x + 3)2 = -16(y - 1)
A. vertex: (3, -1)
focus: (3, -5)
directrix: y = 3
B. vertex: (1, -3)
focus: (1, -7)
directrix: y = 1
C. vertex: (-3, 1)
focus: (-3, 5)
directrix: y = -3
D. vertex: (-3, 1)
focus: (-3, -3)
directrix: y = 5
Use the formula for slope to find the value of y such that the line through the points and
has slope
.
A.
B.
C.
D.
E.
Find the general term, an, of the given arithmetic sequence.2, 6, 10, 14, 18, . . .
A. an = 4n - 1 B. an = 2n - 4 C. an = 2(2n - 1) D. an = 2(4)n-1