For the next eight years, a small company's business volume can be modeled by the function
$f(x)=108(1.02)^{x}+2 \sin \frac{\pi x}{3}$
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 project for sales in 2011?
(c) How many years are in each economic cycle for this company?

Question

For the next eight years, a small company's business volume can be modeled by the function
$f(x)=108(1.02)^{x}+2 \sin \frac{\pi x}{3}$
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 project for sales in 2011?
(c) How many years are in each economic cycle for this company?

Quizplus · Accepted Answer

The Answer of For the next eight years, a small company's business volume can be modeled by the function
$f(x)=108(1.02)^{x}+2 \sin \frac{\pi x}{3}$
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 project for sales in 2011?
(c) How many years are in each economic cycle for this company?

For the Next Eight Years, a Small Company's Business Volume f(x)=108(1.02)x+2sin⁡πx3f(x)=108(1.02)^{x}+2 \sin \frac{\pi x}{3}f(x)=108(1.02)x+2sin3πx​

For the Next Eight Years, a Small Company's Business Volume $f(x)=108(1.02)^{x}+2 \sin \frac{\pi x}{3}$