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Part $1$

Consider a $$$$7$ comma $200$ loan with payments every month$,$ an APR of $9\%,$ and a loan term of $10$ years.

a$.$ Construct a table showing the interest payment and loan balance after each month. Verify$$ that, with monthly payments of $$$$91\mathrm{.}21,$ the loan balance reaches$$ $$0$ after $120$ months.

b$.$ How much interest is paid in the first month of the$$ loan? How much is paid toward the principal in the first month of the$$ loan?

c$.$ How much interest is paid in the last month of the$$ loan? How much is paid toward the principal in the last month of the$$ loan?