$.$ Robert decided to buy a used motorcycle, on credit, for $$6500.$ He can afford payments of $$300$ and is considering the two following options:

A $$ The dealership credit card at $17\mathrm{.}5\%,$ compounded daily, and an immediate rebate of $2\mathrm{.}7\%$ off her first purchase.

B$-$ A bank loan at $8\mathrm{.}9\%,$ compounded monthly.

a$)$ How much would Robert end up paying, in total, with each option?

b$)$ How much interest would he end up paying for each option?

c$)$ How long will it take him to pay off the balance for each option?

d$)$ What should he use; the credit card or the bank loan? Why?