Barney is beginning to plan for his retirement. He would like to get first payment of RM72,000 that will due 20 years from now. The payments will continue with RM144,000 for the 3rd year of retirement, RM216,000 for the 6th year, and so on forever. The interest rate is at an effective annual rate of 10%. (i) If Barney provides these retirement payments by making contributions each end of month for the first 15 years, find the amount of the monthly contributions. (8 marks) After the third retirement payment, the plan is exchanged for a 30-year annuity that will pay RM X at the end of the first year. Each subsequent annual payment will be 6% greater than the preceding payment. Calculate X. Barney is beginning to plan for his retirement. He would like to get first payment of RM72,000 that will due 20 years from now. The payments will continue with RM144,000 for the 3rd year of retirement, RM216,000 for the 6th year, and so on forever. The interest rate is at an effective annual rate of 10%. (i) If Barney provides these retirement payments by making contributions each end of month for the first 15 years, find the amount of the monthly contributions. (8 marks) After the third retirement payment, the plan is exchanged for a 30-year annuity that will pay RM X at the end of the first year. Each subsequent annual payment will be 6% greater than the preceding payment. Calculate X