A dealer sold a car to Derek for $$4300$ down and end$-$of$-$month payments of $$527$ for $6\mathrm{.}5$ years, including interest at $2\mathrm{.}16\%$ compounded annually.

What was the selling price of the car?

a$.$ $$42644\mathrm{.}64$

b$.$ $$12758\mathrm{.}79$

c$.$ $$7464\mathrm{.}18$

d$.$ $$38344\mathrm{.}64$