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Part $1$

The Fritzes are buying a house that sells for $$$$127,000.$ The bank is requiring a minimum down payment of $20\%.$ To obtain a $2525-$year mortgage at $13\mathrm{.}0\%$interest$,$ they must pay $3$ points at the time of closing.

Determine the required down payment.

$$b$)$ Determine the amount of the mortgage on the property with the $20\%$ down payment.

$$c$)$ Find the cost of $3$ points on the mortgage.