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Question 5 (5 marks) A loan of $100,000 is to be repaid with annual payments, at the end of each year, for the next 35 years. For the first 10 years the payments are X per year, the second 10 years they are 2X per year, and they are 3X per year for the remaining years. Find X if d = 8% for the first 10 years and d= 10% afterwards. Question 6 (5 marks) A fund of $10,000 is to be accumulated by means of monthly deposits of $150 as long as necessary. If the fund earns an effective rate of interest of 10%, find how many regular deposits will be necessary and the size of the final deposit to be made one month after the last regular deposit. Question 5 (5 marks) A loan of $100,000 is to be repaid with annual payments, at the end of each year, for the next 35 years. For the first 10 years the payments are X per year, the second 10 years they are 2X per year, and they are 3X per year for the remaining years. Find X if d = 8% for the first 10 years and d= 10% afterwards. Question 6 (5 marks) A fund of $10,000 is to be accumulated by means of monthly deposits of $150 as long as necessary. If the fund earns an effective rate of interest of 10%, find how many regular deposits will be necessary and the size of the final deposit to be made one month after the last regular deposit

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