For the Next Ten Years, a Small Company's Business Volume $f(x)=68(1.07)^{x}+5 \sin \frac{\pi x}{3}$

question 42

Essay

For the next ten years, a small company's business volume can be modeled by the function
$f(x)=68(1.07)^{x}+5 \sin \frac{\pi x}{3}$
where x is the number
of years after 2006 and f is the sales in millions of dollars.
(a) What are the company's sales in 2006?
(b) What does the model predict for sales is 2015 ?
(c) How many years are in each economic cycle for this company?

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