Pretend you have $$340,000$ invested at $6\mathrm{.}5\%,$ and you are planning to retire. You would like to withdraw $$40,000$ at the beginning of each year, starting immediately. How many years will it take to exhaust your funds, i$.$e$.,$ run the account down to zero?

$13\mathrm{.}59$

$10\mathrm{.}45$

$13\mathrm{.}71$

$13\mathrm{.}01$

$11\mathrm{.}61$