Leah just got her Green Card in Otwol City. One of the benefits of the card is, ALL healthcare expenses are reimbursable. Leah had healthcare expenses of $100 per week for the first 50 weeks of the year. She sent in claim forms for all of her reimbursable expenses in bulk at the end of the 50th week and received payment at the end of the 51st week, which she deposited in her account on the same day that she received it. Assume the annual effective rate of interest is 10.95%. Determine the difference between the amount actually accumulated in her savings account at year end and the amount that could have been accumulated if Leah had sent in her claim forms at the end of each week and received the payment at the end of the following week.

The problem needs to be solved in 2 ways: 1) make the payment period and interest conversion period the same by converting the given interest rate at the same frequency as paymnets are made, 2) develop expressions in terms of annuity