Question $15(4$ points$)$

You plan to buy a car that has a total "drive$-$out" cost of $$30,200.$ You will make a down payment of $$3,322.$ The remainder of the car's cost will be financed over a period of $6$ years. You will repay the loan by making equal monthly payments. Your quoted annual interest rate is $9\%$ with monthly compounding of interest. $($The first payment will be due one month after the purchase date.$)$ What will your monthly payment be$?$

$$480\mathrm{.}88$

$$484\mathrm{.}49$

$$499\mathrm{.}30$

$$563\mathrm{.}71$

$$451\mathrm{.}40$