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On January $1,2024,$ Birmingham Enterprises purchases a building for $$305,000,$ paying $$55,000$ down and borrowing the remaining $$250,000,$ signing a $9\%,10-$year mortgage. Installment payments of $$3,166\mathrm{.}89$ are due at the end of each month, with the first payment due on January $31,2024.$

$2.$ Complete the first three rows of an amortization schedule. $($Do not round intermediate calculations. Round your final answers to $2$ decimal places.$)$

$\backslash$table$[[$Date$,,$h Paid,$\backslash$table$[[$Interest$],[$Expense$]],\backslash$table$[[$Change in$],[$Carrying Value$]],$Carrying Value$],[\frac{1}{1}\frac{?}{2024},,,,,$$$,2,500\mathrm{.}00$