Question

Annual sales of fountain pens in Littleville are 5,000 per year and are increasing by 7% per year. How many fountain pens will be sold over the next five years? (Use an integral to solve this problem. Round your answer to the nearest pen.)

Answer 1

First you need to write the actual function

For an exponential function

y = (initial amount)(growth factor)^x

We start with 5,000 pens and experience 7% growth so

y = 5000(1.07)^x

Take the integral of this function between the bounds 0 and 5

Answer 2

oh i should probably mention

integral of a^x is (a^x)/ln(a) try to apply this logic to find the inegral