Solve.An investment is worth $2028 in 2007. By 2012 it has grown to $5013. Let y be the value of the investment in the year x, where x = 0 represents 2007. Write a linear equation that relates value y to year x.
A. y = -597x + 7998
B. y = -597x + 2028
C. y = 597x + 2028
D. y = x + 2028
Answer: C
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Solve the gambler's ruin problem.The probability of ruin for A isxa = if r ? 1, where a and b are the initial amounts of money that player A and B have (respectively),
and p is the probability that player A will win on a given play. If
and
style="vertical-align: -4.0px;" /> find the probability that A will be ruined. Round your answer to the nearest hundredth A. 0.95 B. 0.05 C. 0.09 D. 0.91
Multiply.
A. 566,944 B. 566,844 C. 566,834 D. 566,824
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. 38.4%; $383 million B. 27.0%; $379 million C. 28.8%; $272 million D. 30.9%; $382 million
Solve the equation f(x) = 0 analytically and then use the graph of y = f(x) to solve the inequalities f(x) < 0 and f(x) = (3)3x - 27x + 1
A. {3}; (-?, 3); [3, ?) B. ?; ?; (-?, ?) C. ?; (-?, ?); ? D. {3}; [3, ?); (-?, 3)