You want to buy a $$178,000$ home. You plan to take out a $30$ year loan at $6\%$ interest for the rest. You will also need to put $$2,225\mathrm{.}00$ a year in taxes and $$535$ a year in insurance into the escrow account.

a$)$ What will your monthly payments be$?$

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b$)$ Amortize the first month's payment by filling in the first row of the amortization schedule table.

$\backslash$table$[[$Month$,$Interest Payment,Principal Payment,Loan Balance$],[1,,,]]$

c$)$ How much total interest will you pay?

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d$)$ How much will be pay in taxes and insurance to the escrow account each month?

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e$)$ How much is your total monthly payment $($PITI$)?$

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