Your employer offers a 401(k) plan with a 47% match, and you set a goal of retiring in 29 years with an amount of money which has the same buying power that 1 million dollars has today. If the account earns an annual interest rate of 4.2% and the expected annual rate of inflation is 2%, how much should you contribute each month? Round your answer to the nearest dollar.

answer=1782, how do i reach that