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On January $1,2024$ a company takes out a $5-$year mortgage on a new property in the amount of $$549,000$ at an annual interest rate

of $6\%.$ There will be a fixed monthly payment payable at the end of each month that will include both interest and principal. The fixed

monthly payment payable is $$10,613\mathrm{.}71.$

$($a$)$

Calculate the amount of interest and principal for the first month's payment. $($Round answers to $2$ decimal places, eg$.15\mathrm{.}25.)$

Attempts: $0$ of $1$ used

$($b$)$

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