Suppose that $10$ years ago you bought a home for $$110,000,$ paying $10\%$ as a down payment, and financing the rest at $9\%$ interest for $30$ years. Since the interest rates have dropped, you consider refinancing your mortgage at a lower $6\%$ rate. If you took out a new $30$ year mortgage at $6\%$ for your remaining loan balance, what would your new monthly payments be$?$