Applications of Integration?

Question

the chief financial officer fo a company reports that profits for the past fiscal year were $893,000. The officer predicts that proits for the next 5 years will grow at a continuous annual rate somewhere between 3.5% and 5%. Estimate the cumulative difference in total profit over the 5 years based on the predicted range of growth rates.

someone please help.

Answer 1

The way this sounds...is youre just supposed to use the formula:

Final Profit = Pe^(rt)
where I = increase in profit for this problem
P = initial profit
r = annual growth rate
t = time in yrs

Final profit = 893000*e^(0.035*5) = 1,063,800
Final profit = 893000*e^(0.05*5) = 1,146,600

I am not sure where you wouldwant to integrate here...I may be misunderstanding the problem.