a. Carson is 30 years old and will retire at age 65. He will receive retirement benefits, but the benefits are not going to be enough to make a comfortable retirement life for him. Carson has estimated that an additional $25,000 a year over his retirement benefits will allow him to have a satisfactory life. Assume Carson will have 15 years of retirement, calculate the amount that Carson should deposit today in an account paying 6 percent interest to meet his goal. (6 marks) b. Mr. & Mrs. Amirul wish to purchase a boat in 8 years when they retire. They are planning to purchase the boat using proceeds from the sale of their property which is currently worth RM90,000 and its value is growing at 7 percent a year. The boat is currently worth RM200,000 increasing at 5 percent per year. In addition to the value of their property, calculate how much additional money should they deposit at the end of each year in an account paying 9 percent annual interest in order to be able to buy the boat upon retirement, (7 marks) C. Tiara has opened a retirement fund account which pays 7 percent interest and requires RM5,000 annual deposits. Tiara will retire in 15 years and expects 10 years of retirement life. Calculate the maximum annual retirement benefit Herbert can get during his retirement years. (7 marks)