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On January $1,2024,$ Stoops Entertainment purchases a building for $$610,000,$ paying $$110,000$ down and borrowing the remaining $$500,000,$ signing a $9\%,15-$year mortgage. Installment payments of $$5,071\mathrm{.}33$ are due at the end of each month, with the first payment due on January $31,2024.$

$4.$ Total payments over the $15$ years are monthly payments$).$ How much of this is interest expense and how much is actual payment of the loan?

$\backslash$table$[[$Interest expense,$],[$Actual payments on the loan,vdots