Your grandmother would like to pay your first two years of rent while you're in college by giving you the money you'll need in one lump sum. You share an apartment with another student and currently spend 5400 per month on your share of the rent. Assume you receive the lump sum today, and you will withdraw 5300 per month, starting one month from today and continuing every month thereafter for two year al (6 points) If you invest the lump sum in an account that pays 12% per year, compounded monthly. how much money should you receive today to fully cover your monthly expenses? 12 (6 points) If you invest the lump sum in an account that pays 12% per year, compounded weekly (52 weeks in one year), how much money should you receive today to fully cover your monthly ( points) Assume you invested in the account described in part a, and received from your grandmother the amount you calculated in part a. However, beginning in your sophomore year. your rent increases to $600 per month. If you begin withdrawing $600 each month, starting in month 13, how many months will the account fully cover your rent payments? (In other words, you is possible. ) Express your answer partin integer. make $100 monthly withdrawals for 12 months, and then make $600 monthly withdrawals as long