Dallas plans to save $$42,000\mathrm{.}00$ per year for $5$ years, with his first annual savings contribution expected later today. He then plans to withdraw $$53,121\mathrm{.}05$ per year for as long as he can. Dallas expects to earn $9\mathrm{.}95$ percent per year. How many payments of $$53,121\mathrm{.}05$ can Dallas expect to receive if his first annual payment of $$53,121\mathrm{.}05$ is received in $5$ years?

$6\mathrm{.}89$ payments

$6\mathrm{.}04$ payments

$7\mathrm{.}90$ payments

$4\mathrm{.}78$ payments

the answer cannot be obtained based on the given information