Problems 4-6 are based on the following information: You just took a 25-year $400,000 mortgage with monthly interest rate of 0.5% (monthly compounded). Based on this information, you were able to find that you monthly payments must be $2,564.38 Problem 4: What will be your mortgage balance 7 years from now (right after you make your 84th payment)? Problem 5: By how many months you will reduce the length of your mortgage if you make a prepayment of $30,000 exactly 10 years from (in additional to your regular monthly payments of 2,564.38). Round your answer to the nearest month Problem 6: By how many months you will reduce the length of your mortgage if you were able to increase your monthly payments by $1000 (i.e., pay 3,564.38) for 4 years from your 61st to your 108th payment inclusive (and then go back to $2,564.38 monthly payments). Round your answer to the nearest month