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On January $1,2024,$ Howell Enterprises purchases a building for $$217,000,$ paying $$47,000$ down and borrowing the remaining $$170,000,$ signing a $7\%,10$ year mortgage. Installment payments of $$1,973\mathrm{.}84$ are due at the end of each month, with the first payment due on January $31,2024.$

$3-$a$.$ Record the first monthly mortgage payment on January $31,2024.$

$3-$b$.$ How much of the first payment goes to interest expense and how much goes to reducing the carrying value of the loan?