Solve the problem.The value, in dollars, of a copy machine is given by the function  where x is the number of years that have passed since the machine was purchased. Interpret the slope of the graph of f as a rate of change.

A. The copy machine decreases in value by $185 each year.
B. The copy machine decreases in value by $370 each year.
C. The copy machine increases in value by $185 each year.
D. The copy machine increases in value by $370 each year.


Answer: B

Mathematics

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Solve the problem.Will has $724.03 in his checking account. If he deposits $101.18, what is the new balance in his account?

A. $825 B. $825.21 C. $823.21 D. $622.85003

Mathematics

Solve.The number of farms in a certain state has declined continually since 1950. In 1950, there were 84,294 farms and in 1995 that number had decreased to 22,521. Assuming the number of farms decreased according to the exponential model, find the value of k and write an exponential function that describes the number of farms after time t, in years, where t is the number of years since 1950.

A. k = -0.028 ; P(t) = P0e-0.028t B. k = -0.029 ; P(t) = P0e-0.029t C. k = -0.033 ; P(t) = P0e-0.033t D. k = -0.031 ; P(t) = P0e-0.031t

Mathematics

If an investment is growing continuously for t years, its annual growth rate r is given by the formula where P is the current value and Po is the amount originally invested. ? An investment of $13,500 in a particular Internet company in 1992 was worth $13,500,000 in 2000. Find this investment's average annual growth rate during this period. ?

A. 899% B. 86% C. 5,526% D. 38% E. 2,400%

Mathematics

Write the function g in terms of the function f where the graph of g is given by the following transformations of the graph of f. The graph of f(x) = x is vertically shrunk by a factor of . Then the graph is shifted 2 units upward.

A. g(x) = - f(x) + 2
B. g(x) = f(x + 2)
C. g(x) = f + 2
D. g(x) = f(x) + 2

Mathematics