a. A friend of yours, Grace, wants to purchase a house in five years. To save for the house, Grace decides deposit $112, 000 in a savings account on January 1 of this year. The savings account will earn 6% annually. Any interest earned will be added to the fund at year end(rather than withdrawn). b. At the end of each year, a different friend, Claire, plans to deposit $9, 000 in a saving account. The account will earn 9% annual interest, which will be added to the fund balance at year-end Claire will make her first deposit at the end of this year. In (a), how much will be available at the end of five years? What is the total interest earned over the five years? (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your answers to nearest whole dollar.) In (b), what will be the balance S1) in the savings account at the end of the 8th year (i.e., after 8 deposits)? What is the interest earned on the 8 deposits? (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your answers to nearest whole dollar.)