From this partial investment

$$77\mathrm{.}63$ per month for $60$ months

$$3,500$ used car cash price

$$50$ down payment

a$.$ Calculate the amount financed.

b$.$ Calculate the finance charge.

Note: Round your answer to the nearest cent.

c$.$ Calculate the deferred payment price.

Note: Round your answer to the nearest cent.

d$.$ Calculate the APR by Table $14\mathrm{.}1.$

Note: Round your answers to $2$ decimal places.

e$.$ Calculate monthly payment $($by formula$).$

Note: Round your answer to the nearest cent.