Predicting Economic Growth The business manager of a small manu- facturing company finds that she can...

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Predicting Economic Growth The business manager of a small manu- facturing company finds that she can model the company's annual growth as roughly exponential, but with cyclical fluctuations. She uses the function S(t) = 75(1.04)' + 4 sin (t/3) to estimate sales (in millions of dollars), 1 years after 2005. (a) What are the company's sales in 2005? (b) What is the approximate annual growth rate? (e) What does the model predict for sales in 2013? (d) How many years are in each economic cycle for this com- pany? Predicting Economic Growth The business manager of a small manu- facturing company finds that she can model the company's annual growth as roughly exponential, but with cyclical fluctuations. She uses the function S(t) = 75(1.04)' + 4 sin (t/3) to estimate sales (in millions of dollars), 1 years after 2005. (a) What are the company's sales in 2005? (b) What is the approximate annual growth rate? (e) What does the model predict for sales in 2013? (d) How many years are in each economic cycle for this com- pany?