To purchase a new truck it is necessary to borrow $$35,000.$ The bank car dealer offers a $6-$yr loan at an interest rate of $6\mathrm{.}5\%$ compounded annually. If you make only one payment at the end of the loan period, repaying the principal and interest, what is the total amount that must be paid back?

$($a$)$ what is the number of compounding periods?

$($b$)$ what is the rate of interest?

$($c$)$ what is the total amount that must be paid?

$($d$)$ What is the amount of interest?