A man buys a house for $$340,000.$ He pays $$80,000$ down and takes out a mortgage at $6\mathrm{.}9\%$ on the balance. Find his monthly payment and the total amount of interest he will pay if the length of the mortgage is

$($a$)15$ years; $($b$)20$ years; $($c$)25$ years.

$($d$)$ When will half the $20-$year loan be paid off?

$($a$)$ For the $15-$year mortgage, the man will make monthly payments of $ $($Do not round until the final answer. Then round to the nearest cent.$)$

The total amount of interest the man will pay is $

$($Do not round until the final answer. Then round to the nearest cent.$)$

$($b$)$ For the $20-$year mortgage, the man will make monthly payments of $

$($Do not round until the final answer. Then round to the nearest cent.$)$

The total amount of interest the man will pay is $

$($Do not round until the final answer. Then round to the nearest cent.$)$

$($c$)$ For the $25-$year mortgage, the man will make monthly payments of $ $($Do not round until the final answer. Then round to the nearest cent.$)$

Large semitrailer trucks cost $$105,000$ each. A trucking company buys such a truck and agrees to pay for it by a loan that will be amortized with $10$ semiannual payments at $11\%$ compounded semiannually. Complete an amortization schedule for the first four payments of the loan.

Fill out the amortization schedule below.

$($Round to the nearest cent as needed. Do not include the $ symbol in your answers.$)$

$\backslash$table$[[\backslash$table$[[$Payment$],[$Number$]],\backslash$table$[[$Amount of$],[$Payment$]],\backslash$table$[[$Interest for$],[$Period$]],\backslash$table$[[$Portion to$],[$Principal$]],\backslash$table$[[$Principal at$],[$End of$],[$Period$]]],[,,,,$$$105,000$