Compounding using a calculator and annuities due$)$ Imagine that Homer Simpson actually invested $$$$100$ comma $0005$ years ago at a $7\mathrm{.}5$ percent annual interest rate. If he invests an additional $$$$1$ comma $500$ a year at the beginning of each year for $20$ years at the same $7\mathrm{.}5$ percent annual$$ rate, how much money will Homer have $20$ years from$$ now?

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Part $1$

a$.$ If Homer invested $$$$100$ comma $0005$ years ago at a $7\mathrm{.}5$ percent annual interest$$ rate, what is the future value of this investment $20$ years from$$ now?

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enter your response here $($Round to the nearest$$ cent.$)$