Jack asked Jill to marry$$ him, and she has accepted under one$$ condition: Jack must buy her a new $$$$330,000$Rolls$-$Royce Phantom.$$ Jack currently has $$$$34,630$ that he may invest.$$ He has found a mutual fund with an expected annual return of $6\mathrm{.}5\%$ in which he will place the money.$$ How long will it take Jack to win$$ Jill's hand in$$ marriage?$$ Ignore taxes and inflation