Sharon Fox decided to buy a home in Marblehead, Massachusetts, for $$277,000.$ Her bank requires a $25\%$ down payment. Sue Wills, an attomey, has notfied Sharon that besides the $25\%$ down payment there will be the following additional costs: $($Use Table $75\mathrm{.}1.)$

Recording of the deed

A credit and appraisal report $3,32,00$

Preparation of appropriate docunents

$157,60$

Other closing expenses include a transfer tax of $1\mathrm{.}5\%$ of the purchase price and a loan ongination fee of $3\mathrm{.}0\%$ of the mortgage amount Assume a $20-$year mortgage at a rate of $3\frac{3}{8}\%$

a$.$ What is the initial amount of cash Sharon will need?

Note: Do not round intermediate calculations. Pound your answer to the nearest cent.

$$ Initial amount of cash needed

b$.$ What is her monthly payment?

Note: Do not round intermediate calculations. Round your answer to the nearest cent.

c$.$ What is the total cost of interest over the life of the mortgage?

Note: Use $360$ days a year. Do not round intermediate calculations. Round your answer to the nearest cent.

Total cost of interest