Nick Nurse would like to have $$500,000$ saved in his registered retirement savings plan $($RRSP$)$ in $30$ years when he expects to retire. He thinks he can earn an annual interest rate of $10\%$ on his savings, compounded annually. To achieve this retirement goal, how much money does Nick have to contribute at the end of each month? Approximately $$2182$ Approximately $$2000$ Approximately $$3039$Approximately $$1,956$