Based on or using a financial calculator, what would be the monthly mortgage payments for each of the following situations?

Note: Round time value factor and final answers to $2$ decimal places.

$2$

points

points

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What relationship exists between the length of the loan and the monthly payment? How does the mortgage rate affect the monthly payment?

$\backslash$table$[[,],[$a$.$ $$79,000,15-$year loan at $7\mathrm{.}00$ percent.,$\backslash$table$[[$Monthly Mortgage$],[$Payment$]],],[$b$.$ $$140,000,30-$year loan at $4\mathrm{.}50$ percent.,$$,465\mathrm{.}74],[$c$.$ $$97,000,20-$year loan at $6\mathrm{.}00$ percent.,$$,839\mathrm{.}06],[$d$-1.$ Longer mortgage terms mean a$,$Tower,$$42\mathrm{.}92$