You are planning to invest $ $5,000$ in an account earning $10\%$ per year for retirement.

a$.$ If you put the $ $5,000$ in an account at age$23,$ and withdraw it $42$ years$$ later, how much will you$$ have?

b$.$ If you wait $10$ years before making the$$ deposit, so that it stays in the account for only $32$years$,$ how much will you have at the$$ end?