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(a) Yoda has just made his first RM5,000 contribution to his retirement account. (i) Assuming he earns a return of 10 percent per year and makes no additional contributions, identify the amount he will have in his retirement account when he retires in 45 years. (ii) If Yoda would like to change his investment strategy by investing a certain amount per month in the retirement account for 35 years, identify the amount he needs to invest if he wants to receive the same amount in (i) at the rate of return of 10 percent. (b) You are required to estimate the value of the famous "Oppenheimer Blue Diamond" that would be sold at the auction. The diamond had a face value of US$100,000 when it was first found in 1900. It had been previously sold for US$10 million in 1980. (i) At what annual rate did the diamond appreciate from 1900 to 1980? (ii) If the value increases at the same rate, identify the value of the diamond today