If you need $$35,000$ for a down payment on a house in six years, how much money must you invest today at $7\%$ interest compounded annually to achieve your goal?

a$.$ $$14,700\mathrm{.}00$

b$.$ $$20,300\mathrm{.}00$

c$.$ $$23,321\mathrm{.}98$

d$.$ $$24,954\mathrm{.}52$