You want to retire in $35$ years and withdraw $$400,000$ per year for $25$ years afterward. Until you retire you plan to deposit $$750$ per month into your investment account. If you expect to earn $8\%$ after retiring, what annual rate will you have to earn until you retire?

a$.12\mathrm{.}22\%$

b$.13\mathrm{.}58\%$

c$.18\mathrm{.}40\%$

d$.11\mathrm{.}54\%$