You are planning to invest $$8,000$ in an account earning $10\%$ per year for retirement.

a$.$ If you put the $$8,000$ in an account at age $23,$ and withdraw it $31$ years later, how much will you have?

b$.$ If you wait $10$ years before making the deposit, so that it stays in the account for only $21$ years, how much will you have at the end?

a$.$ If you put the $$8,000$ in an account at age $23,$ and withdraw it $31$ years later, how much will you have?

In $31$ years you would have $ $.($Round to the nearest cent.$)$