You want to purchase a car valued at $$35,500.$ You can afford $$5000$ as a down payment. The bank has

offered you a rate of $4\%$ on a $5-$year loan.

a$.$ What will be your monthly payment?

b$.$ Suppose that you want to pay the amount off in $4$ years and you compute that you must make a

monthly payment of $$677\mathrm{.}37.$ How much interest will you save if you payoff in $4$ years instead of $5$

years?