Sandra is saving money by making deposits every 6-months into a fund earning j2 = 4.8%. Her first deposit, which is made today, is $1500. Each succeeding deposit is 5% higher. She will make a total of 40 deposits. (a) How much will she have accumulated in her fund at the end of 20 years? (4 marks) (b) Sandra then takes her accumulated amount from part (a) and funds a scholarship plan. The plan pays semi-annual scholarships of $R (first scholarship paid in 6-months) forever. The plan earns ja = 4% for the first 8 years, followed by J2 = 3.4% thereafter. What is the value of R? (Note: if you cannot get the answer to (a), you can use $250,000 as the accumulated value that is transferred to fund the scholarship plan)