Bertha and Martha are recent college graduates currently earning $$85,000$ a year and planning to retire in $40$ years. Their earnings are expected to increase at a $6\mathrm{.}5\%$ annual rate, Martha has a $401-$k tax$-$advantaged retirement account. She contributes a flat amount of $$1,100$ per month to her account during the first eight years, and then lets the funds compound for the next $32$ years. How much would Martha's account hold at retirement if she earned an annual rat$$ of $11\%$ monthly compounded?

$$5,347,918$

$$5,597,983$

$$5,590,500$

$$5,425,537$