Question 2 To buy in to a treasure hunting syndicate you will need to have $50,000 in 60 week's time, when the syndicate is due to begin. You plan to accumulate the $50,000 by making weekly deposits of size R for 60 weeks into a savings account which pays intertestJ5,-7.8% pa. You plan to make the first deposit in a week's time. A Illustrate your savings scheme using a fully labelled time line diagram. 3 marks) B Determine the size of R, the weekly amount deposited. Describe and apply a sanity check [4 + 1 + 1 = 6 marks] C Construct a sinking fund table showing the last two deposits. Describe and apply a sanity [7 + 1 + I-, 9 marks] for this value. check to your table. D Immediately after your 20th deposit the interest rates paid by the savings account falls from J52-78% p.a. to J52-6.5% p.a. Determine the new weekly deposit size required for weeks 21 to 60 in order to still reach the target of $50000 in week 60. Describe and apply a sanity check to you answer. marks