Keiko is buying a used car. Payments will be $$78\mathrm{.}75$ every week for $2$ years, with the first payment at the end of $13$ weeks. The interest rate is $7\mathrm{.}075\%$ compounded monthly. What is the equivalent cash price of the car?

Question $3$Answer

a$.$

X $=$ $$7,510\mathrm{.}06.$

b$.$

None of the other answers is correct.

c$.$

X $=$ $$7,643\mathrm{.}68.$

d$.$

X $=$ $$8,110\mathrm{.}87.$

e$.$

X $=$ $$8,185\mathrm{.}97.$