Your uncle has $$280,000$ invested at $6\mathrm{.}80\%,$ and he now wants to retire. He wants to withdraw $$35,000$ at the end of each year, beginning at the end of this year. He also wants to have $$25,000$ left to give you when he ceases to withdraw funds from the account. What is the maximum number of $$35,000$ withdrawals that he can make and still have at least $$25,000$ left in the account? Round your answer to $2$ decimal places.

a$.7\mathrm{.}29$

b$.12\mathrm{.}66$

c$.10\mathrm{.}12$

d$.11\mathrm{.}18$

e$.11\mathrm{.}94$