You are planning to prepare for your child's college tuition. At the beginning of year 11 , you will have to pay $50,000 for the first-year tuition. The tuition is paid at the beginning of each year. The first tuition is paid at the beginning of year 11 . For the following three years, the tuition will increase by 5% each year. You believe that you can earn a rate of 8% on investments to meet this goal. a) Assuming that you plan to have enough money saved by the beginning of year 11 to cover all four years of college costs, how much will you need to have accumulated by that time? I b) If you were to invest a lump sum today in hopes of covering your child's college costs, how much would you have to invest? c) If you currently have $20,000 savings and plan to save the same amount at the end of each quarter during the next ten years in hopes of covering your child's college costs, how much would you have to save each quarter