2. (25 points) On the first day of new year, Alice deposits $10,000 in an account that pays 12% annual interest compounded monthly. At the beginning of each month she adds $500 to her account. If she continues to do so for the next two years, making 23 additional deposits of $500, how much will her account be worth exactly two years after she opened it? What is the general formula for B(n), the amount after n months