Phillip has nothing irfhis retirement account. However, he plans to save $$9,000\mathrm{.}00$ per year in his retirement account for each of the next $19$ years. His first contrioution to his retirement account is expected in $1$ year. Phillip expects to earn $7\mathrm{.}70$ percent per year in his retirement account. Phillip plans to retire in $19$ years, immediately after making his last $$9,000\mathrm{.}00$ contribution to his retirement account. In retirement, Phillip plans to withdraw $$55,000\mathrm{.}00$ per year for as long as he can. How many payments of $$55,000\mathrm{.}00$ can Phillip expect to receive in retirement if he receives annual payments of $$55,000\mathrm{.}00$ in retirement and his first retirement payment is received exactly $1$ year after he retires?

$9\mathrm{.}51($plus or minus $0\mathrm{.}2$ payments$)$

$8\mathrm{.}56($plus or minus $0\mathrm{.}2$ payments$)$

$10\mathrm{.}51($plus or minus $0\mathrm{.}2$ payments$)$

Phillip can make an infinite number of annual withdrawals of $$55,000\mathrm{.}00$ in retirement

$D$ is not correct and neither $A,B,$ nor $C$ is within $\mathrm{.}02$ payments of the correct answer