You are being offered a choice of buying or leasing a new car. The purchase price is $$47,421+U$ dollars, which can be financed at an APR of $5\mathrm{.}99\%$ over $4$ years $($and the car is expected to be worth $$20,400$ at the end of the $4$ years$).$ Alternatively, you can lease the car for four years for $$669$ per month. Show which offer is better. u$=40$