6. One year from today you will set up a bank account and deposit $500. You will continue depositing $500 each year for nine additional years. In other words, your tenth and final deposit will be ten years from today. Initially the bank credits interest at a 6% yearly rate, but five years from today, it decides to change to a 5% yearly rate, i.e. starting after the fifth year. If you make no withdrawals, what is the balance of your account immediately after the tenth deposit? (Hint: Use a 6% interest rate to figure out how much money is accumulated in your account right after your fifth payment, then use a 5% interest rate to figure out how much money is accumulated during the next five years.)