$($Solving for n$)$Jack asked Jill to marry$$ him, and she has accepted under one$$ condition: Jack must buy her a new $$$$350$ comma $000$Rolls$-$Royce Phantom. Jack currently has $$$$34$ comma $090$ that he may invest. He has found a mutual fund with an expected annual return of $5\mathrm{.}5$ percent in which he will place the money. How long will it take Jack to win$$ Jill's hand in$$ marriage? Ignore taxes and inflation.