A car dealer offers a sedan for $48$ monthly payments of $$565\mathrm{.}43$ at $8\%$ interest, compounded monthly. What is the cost of the car for a customer paying cash at the time of purchase?

Question $10$ options:

a$)$

$$23159\mathrm{.}31$

b$)$

$$22983\mathrm{.}91$

c$)$

$$23161\mathrm{.}09$

d$)$

$$23143\mathrm{.}29$