CASE 1: You are an engineer in Geisinger Medical Center Danville, PA facilities engineering department. The medical center has an MRI machine that will begin having significant maintenance expenses starting at the end of year 5 with a $4500 expense. This maintenance expense will increase by $300 each year after this initial year 5 expense through the end of year 8. How much money would you have to invest today into an account paying 3 .5% interest compounded annually to completely cover all future maintenance costs for this MRI machine?