$($Related to Checkpoint $5\mathrm{.}5)($Solving for

n$)$

$$Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new

$$350,000$ Rolls$-$Royce Phantom. Jack currently has $$31,270$ that he may invest. He has found a mutual fund with an expected annual return of $7$ 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.

Part $1$

The number of years it will take for Jack to win Jill's hand in marriage is $\_\_\_\_\_$years. $($Round to one decimal place.$)$