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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

For the Next Ten Years, a Small Company's Business Volume f(x)=68(1.07)x+5sin⁡πx3f(x)=68(1.07)^{x}+5 \sin \frac{\pi x}{3}f(x)=68(1.07)x+5sin3πx​

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