(c) Alexs mother is planning to invest $5,000 at the end of each year in an account earning 9% per year for retirement. A fixed interest rate of 8% per year.

(i) If she puts the $5,000 in an account at age 40, and withdraw it 20 years later, how much will she have in todays value?

(ii) If she waits 5 years before making the deposit, so that it stays in the account for only 15 years, how much will she have at the end in todays value?