$($Future value of an annuity$)$ Imagine that Homer Simpson actually invested the $$150,000$ he earned providing Mr$.$ Burns entertainment $7$ years ago at $11\mathrm{.}5$ percent annual

interest and that he starts investing an additional $$1,800$ a year today and at the beginning of each year for $10$ years at the same $11\mathrm{.}5$ percent annual rate. How much money will Homer have $10$ years

from today?

The amount of money Homer will have $10$ years from now is $$.($Round to the nearest cent.$)$