1. (10 points) Fund X accumulates by the force of interest 2t 8(t) 1+ t2 100 is deposited into Fund X at time t = 0 and at time t = 2. At t = 3, there is a withdrawal of 50. What is the balance of Fund X at t= 4? 2. (10 points) An investment account has the following activity over a period of one year. Deposit Withdrawal 10 Date Account value before deposit/withdrawal 01/01/21 100 04/01/21 115 07/01/21 120 10/01/21 150 12/31/21 X 20 40 The annual effective dollar weighted (the simple interest approximation) yield is 10%. Find the annual effective time weighted yield