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Qi (a) (i) Betty will need RM 12,000 in five years to pay for a major overhaul on her tractor engine. She has found an

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Qi (a) (i) Betty will need RM 12,000 in five years to pay for a major overhaul on her tractor engine. She has found an investment that will provide a 6% return on her invested funds. Determine how much does Betty need to invest today so she will have her overhaul funds in five years. (3 marks) (ii) Calculate how much will you have in 10 years if you save RM 3,000 each year and your account earns 8% interest compounded semi-annually. (Show both methods in order to solve the problem) (7 marks) (b) A mechanical engineer who is planning for his daughter's college education plans to start depositing money now (year 0) and continue through year 17. If he deposits RM 5,000 each year, how much will his daughter be able to withdraw each year starting in year 18 and continuing through year 22. Assume the account earns interest at 8% per year (i) Draw the cash flow diagram to reflect the activities (4 marks) (ii) Determine the withdrawal amount for his daughter according to the above statement. (6 marks)

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