Just recently having accepted a full time position at your dream job, you go in

search of a new car. You found one you like a lot and you consider a three$-$year

lease. It will cost you $$280$ per month, plus an additional $$15,000$ at the end of

the lease if you want to purchase it$.$ If $(1)$ your opportunity cost of money is

about an APR of $6\mathrm{.}0\%,$ and $(2)$ you intend to purchase the car after the lease,

what will be the total investment you will have made in the car when the lease is

up and you purchase it$?$