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MAT1106 / Page 2 of 3 Question 2 Mr Ali has been saving RM650 every month in ABC Bank for the past 6 years. On

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MAT1106 / Page 2 of 3 Question 2 Mr Ali has been saving RM650 every month in ABC Bank for the past 6 years. On the other hand, Ms Siti has been saving RM500 every month in PQR Bank for the past 5 years since she started to work and she also has a fixed deposit of RM10,000 in the same bank for the past 4 years. (a) Mr Ali and Ms Siti plan to buy a bungalow together worth RM1,200,000 located in Damansara with a 10% down payment towards financing the house. Find Ali's accumulated savings in ABC Bank if the bank offers him an interest of 5% compounded monthly for the first 3 years and 2% compounded monthly for the rest of the period and determine Siti's accumulated savings in PQR Bank if the bank offers her an interest rate of 3.56% compounded monthly for both of her savings. (22 marks) (ii) Determine the down payment of the bungalow and the amount to be financed by Ali and Siti. Do they have enough money to pay the down payment for the bungalow? (5 marks) (b) After the purchase of the bungalow, Ali and Siti had reduced their monthly savings to RM400 (Ali) and RM350 (Siti) each in ROCO Bank. Calculate their total savings if the bank offers them 4% interest compounded monthly for 10 years. (10 marks) (Total: 37 marks)

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