Show all CALCULATION $($keystrokes $($PV$,$ FV$,$ I$/$Y$,$ PMT$,$ & N or FORMULA $)$ t$1.$ Rachel recently purchased her first home for $$220,000.$ She made a down payment of $$20,000,$ and financed the balance over $15$ years, at $6\%$ interest. What is Rachel$$s monthly mortgage payment?

$2.$ If Rachel$$s first payment is due on October $1$ of this year, approximately how much interest will she pay in this year?

$3.$ If Rachel$$s first payment is due on October $1$ of this year, approximately how much of this year$$s payments will be applied to the outstanding principal?

$4.$ What is Rachel$$s outstanding balance on her home mortgage at the end of THIS year?