The price of a home is $$600,000.$ The bank requires a $20\%$ down payment. The cost of the home is

financed with a $30-$year fixed rate mortgage at $7\mathrm{.}5\%.$

a$.$ Find the required down payment.

b$.$ Find the amount of the mortgage.

c$.$ Find the monthly payment $($excluding escrowed taxes and insurance$).$

d$.$ Find the total interest paid over $30$ years.

Use this formula to find the monthly payments:

$.$

$11$

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