Suppose you currently have $$105,700$ to invest in your retirement account, and you hope to have $$5,500,000$ by the time you retire. If you can earn $11\%$ per year in your retirement account, how long will it take to reach your savings goal?

$29\mathrm{.}2$ years

$43\mathrm{.}0$ years

$33\mathrm{.}1$ years

$37\mathrm{.}9$ years