Your Aunt Ruth has $$350,000$ invested at $6\mathrm{.}5\%,$ and she pluns to retire. She wants to withdraw $$40,000$ at the beginning of each year, starting immediately. How many years will it take to exhaust her funds, Le$,$ run the account down to aere?

$15$ years

$14$ years

$12$ years

$9$ years

$13$ vears