For the next 10 years, a small company's business volume can be modeled by the function
$f(x)=80(1.03)^{x}+3 \sin \frac{\pi x}{4}$ 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 in 2012?
(c) How many years are in each economic cycle for this company?

Question

For the next 10 years, a small company's business volume can be modeled by the function
$f(x)=80(1.03)^{x}+3 \sin \frac{\pi x}{4}$ 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 in 2012?
(c) How many years are in each economic cycle for this company?

Quizplus · Accepted Answer

The Answer of For the next 10 years, a small company's business volume can be modeled by the function
$f(x)=80(1.03)^{x}+3 \sin \frac{\pi x}{4}$ 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 in 2012?
(c) How many years are in each economic cycle for this company?

For the Next 10 Years, a Small Company's Business Volume f(x)=80(1.03)x+3sin⁡πx4f(x)=80(1.03)^{x}+3 \sin \frac{\pi x}{4}f(x)=80(1.03)x+3sin4πx​

For the Next 10 Years, a Small Company's Business Volume $f(x)=80(1.03)^{x}+3 \sin \frac{\pi x}{4}$