$2\mathrm{.}3$ To purchase a new car, you borrow $$20,000.$ The bank offers a six$-$year loan at an interest rate of $3\mathrm{.}25\%$ compounded annually. If you make only one payment at the end of the loan period, repaying the principal and interest:

a$.$ What is the number of time periods $(n)$ you should use in solving this problem?

b$.$ What rate of interest $(i),$ per period of time, should be used in solving this problem?

c$.$ Is the present single amount of money $(P)$ known? $($Yes or No$)$

d$.$ Which time value factor should be used to solve this problem?

e$.$ What is the total amount that must be paid back?

f$.$ How much of the total amount repaid represents interest?