Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new $$310,000$ Rolls$-$Royce Phantom. Jack currently has $$24,150$ that he may invest. He has found a mutual fund with an expected annual return of $6$ 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.