please show work and formulas to better explain how to fo the problem (not excel)

You purchase a new house and finance this purchase with a mortgage of $220,000. This mortgage loan has a 30-year maturity, calls for monthly payments, and is contracted at an interest rate of 5.50%, per annum (APR). What is the monthly payment? How much do you owe after making monthly payments for 8 years? Hint compute present value at t-8 of the ordinary annuity with monthly payment (as computed above) for remaining 22 years