You just won $$17,500$ and deposited your winnings into an account that pays $6\mathrm{.}7$ percent interest, compounded annually. How long will you have to wait until your winnings are worth $$50,000?$

a$.15\mathrm{.}73$ years

b$.16\mathrm{.}19$ years

c$.15\mathrm{.}1$ years

d$.15\mathrm{.}52$ years

e$.15\mathrm{.}31$ years