Suppose you want to retire at the age of 62 . During your retirement years, you need to have $80,000 per year from your investments. You believe that you can earn 7% per year during retirement and you expect to live until age 92. a. How much must you have at age 62 for your retirement needs? b. If you are 35 years old, how much must you invest each month to meet your retirement needs? Assume you can earn 10% on your investments. Show your work.