Your grandfather has $$300,000$ invested at $7\mathrm{.}5\%,$ and he now wants to retire. He wants to withdraw $$35,000$ at the beginning of each year, beginning immediately. He also wants to have $$25,000$ left to give you when he ceases to withdraw funds from the account. For how many years can he make the $$35,000$ withdrawals and still have $$25,000$ left in the end?

a$.$

$13\mathrm{.}47$

b$.$

$11\mathrm{.}89$

c$.$

$14\mathrm{.}63$

d$.12\mathrm{.}61$