Jack asked Jill to marry$$ him, and she has accepted under one$$ condition: Jack must buy her a new $$$$310$ comma $000$Rolls$-$Royce Phantom. Jack currently has $$$$50$ comma $330$ that he may invest. He has found a mutual fund with an expected annual return of $4\mathrm{.}5$ percent in which he will place the money. How long will it take Jack to win$$ Jill's hand in$$ marriage? Ignore taxes and inflation.

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Part $1$

The number of years it will take for Jack to win$$ Jill's hand in marriage is

$$

enter your response here years