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Intro

You just took out a $15-$year traditional fixed$-$rate mortgage for $$500,000$ to buy house. The interest rate is $9\mathrm{.}6\%($APR$)$ and you have to make payments monthly

Part $1$

What is your monthly payment?

Part $2$

How much of your first monthly payment goes towards paying down the outstanding balance $($in $$)?$

Part $3$

How much of your ${13}^{th}$ monthly payment goes towards paying down the