Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 20 years from now with a retirement income of $10,000 per month for 20 years, with the first payment received 20 years and 1 month from now. Second, he would like to purchase a Tesla in 10 years at an estimated cost of $142,325. Third, after he passes on at the end of the 20 years withdrawals, he would like to leave an inheritance of $450,114. He can afford to save $5,000 per month for the next 10 years. If he can earn an APR of 6 percent before he retires and an APR of 7 percent after he retires, how much will he have to save each month in Years 11 through 20? Round your answer to two decimal places and input your answer as a POSITIVE number