$($Solving for n$)$ Javier asked Sofia to marry$$ him, and she has accepted under one$$ condition: Javier must buy her a new $$$$320,000$Rolls$-$Royce Phantom. Javier currently plans to invest $$$$30,750$ in a mutual fund that pays $6$ percent annual interest. How long will it take Javier to win Sofia$\text{'}$s hand in$$ marriage? Ignore taxes and inflation.

Part $1$

The number of years it will take for Javier to win Sofia$\text{'}$s hand in marriage is $\_\_\_\_\_$ years. $($Round to one decimal$$ place.$)$