Assume that you contribute $$200$ per month to a retirement plan for $20$ years. Then you are able to increase the contribution to $$400$ per month for the next $30$ years. Given a $6\mathrm{.}0$ percent interest rate, what is the value of your retirement plan after the $50$ years? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Future value of multiple annuities