Annual sales of fountain pens in Littleville are 2,000 per year and are increasing by 10% per year. How many fountain pens will be sold over the next five years? Use an integral to solve this problem.

I just need help setting the problem up - thank you!

1 answer

1.1 times as many pens are sold each year, so after t years the sales will be

2000 * 1.1^t

To get the sum of all sales, do the integral

∫[1,5] 2000 * 1.1^t dt

You need to check on how to integrate

a^t for any constant a