You buy a used car. The price for the car is $$14870$ and you

must pay fees $($taxes$,$ tags, & title$)$ of $$600.$ You agree to

make a down payment of $$1000($due immediately upon receipt

of the car$)$ and repay $$457\mathrm{.}10$ per month over the life of the

three$-$year loan. What is the interest rate per annum for the

loan expressed with monthly compounding?