Based on Exhibit $9-9,$ 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.

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

$\backslash$table$[[,\backslash$table$[[$Monthly Mortgage$],[$Payment$]]],[$a$.$ $$64,000,15-$year loan at $7\mathrm{.}00$ percent,$],[$b$.$ $$140,000,30-$year loan at $5\mathrm{.}50$ percent,$],[$c$.$ $$104,000,20-$year loan at $7\mathrm{.}50$ percent.,$],[$d$-1.$ Longer mortgage terms mean a$,$monthly payment.$],[$d$-2.$ For increase in mortgage rate,monthly payment is required.$]]$