1. (2 points) If a $2,500 is accumulated after 3 years, how much money should be deposited today if the investment earns 5% interest compounded continuously? 2. (2 points) Find the sum of the first 20 terms of the geometric sequence: 4,- 8,16,-32,... 3. (2 + 1 + 1.5 + 1.5 = 6 points) A person borrowed $5,000 from a bank at 4% interest compounded semiannually for 5 years. a) Find the semiannual payment necessary to amortize the loan. b) Find the total amount of interest the person paid to the bank. c) Calculate the unpaid balance after 4 years. d) Complete the following amortization table for the first two payments. Payment Period Payment Amount Interest Deduction Principal 0 5,000.00 1 100.00 2 556.63 465.77 4,077.60