A couple wants to begin saving money for their child's education. They estimate that S10,000 will be needed on the child's 18th birthday, $12,000 on the 19th birthday, $14,000 on the 20th birthday, and S16,000 on the 2ln birthday. Assume an 8% interest rate with only annual compounding. The couple is considering two methods of setting aside the needed money. 

a How much money would have to be deposited into the account on the child's first birthday to accumulate enough money to cover the estimated college expenses? 

b. What uniform annual amount would the couple have to deposit each year on the child's first through seventeenth birthdays to accumulate enough money to cover the estimated college expenses?