You expect to receive $$7,000$ from your godmother at graduation in two years. You plan to invest the gift in the Transylvanian Bank & Loan which pays $8$ percent annually on deposits. You'll leave your money in the bank until you have $$108,000.$ How long will you have to wait from now before you reach that target amount? $($Do not round your intermediate calculations.$)$

Multiple Choice

$33\mathrm{.}55$ years

$41\mathrm{.}31$ years

$42\mathrm{.}06$ years