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. 35.8%; $209 million
B. 34.9%; $207 million
C. 39.6%; $209 million
D. 37.5%; $210 million


Answer: C

Mathematics

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Solve the problem.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table. Find the apportionment for state D using Adams' method.

A. 26 B. 23 C. 25 D. 24

Mathematics

Provide an appropriate response.Find ? if cos ? = 0.6896 rounded to the nearest tenth of a degree.

A. 0.8° B. 42.6° C. 34.6° D. 46.4°

Mathematics

Solve the problem.The logistic growth function f(t) =   models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. What is the limiting size of the population that becomes ill?

A. 37,000 people B. 925 people C. 924 people D. 74,000 people

Mathematics

Use the properties of parallel lines to solve the problem.Line p is parallel to line q. If ?8 = 45°, find the measure of each angle.

A. ?2, ?4, ?6 all measure 45°; ?1, ?3, ?5, ?7 all measure 145° B. ?2, ?4, ?6 all measure 45°; ?1, ?3, ?5, ?7 all measure 45° C. ?2, ?4, ?6 all measure 45°; ?1, ?3, ?5, ?7 all measure 135° D. ?5, ?6, ?7 all measure 45°; ?1, ?2, ?3, ?4 all measure 135°

Mathematics