A couple thinking about retirement decide to put aside $$27,000$ each year in a savings

plan that earns $11\mathrm{.}20\%$ interest. In $6$ years they will receive a gift of $$246,500$ that also

can be invested.

a$.$ How much money will they have accumulated $18$ years from now? $($Do not round

intermediate calculations. Round your answer to $2$ decimal places.$)$

Accumulated savings

$

b$.$ If their goal is to retire with $$2,488,044$ of savings, how much extra do they need to

save every year? $($Do not round intermediate calculations. Round your answer to $2$

decimal places.$)$