Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new $$330,000$ Rolls$-$Royce Phantom. Jack currently has $$11,690$ that he may invest. He has found a mutual fund with an expected annual return of $8$ 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.