(a) Say you have $100,000 to invest in a super fund today. Calculate the value of this $100,000 invested at a rate of 3% after 30 years. (2 marks) (b) How much would you have after the 30 years, if in addition to the $100,000 contributed today, you also invest $10,000 a year at the beginning of every year for the next 30 years? ( 3 marks) (c) In reference to Part (b), would you have more or less at the end of the investment period if you invested $10,000 at the end of every year? Explain your answer. (No calculation is necessary.) (2 marks) (Include enough working to show you understand the calculations.)