Mary is planning for her retirement, $5$ years from now. Her bank quotes her a $7\%$ annual interest rate if she will add a new money deposit at the end of every month for the next $5$ years, the same dollar amount each month. Mary's goal is to have $$50,000$ in in her bank account at the end of the $5$ years. What dollar amount must she deposit each month to achieve her goal? Show your work.