You purchase a house and obtain a $20-$year loan of $$196,000$ at an annual interest rate of $8\mathrm{.}40\%.($Round your answers to the nearest cent.$)$

$($a$)$ What is the mortgage payment?

$ $$

$($b$)$ What is the total of the payments over the life of the loan?

$ $$

$($c$)$ Find the amount of interest paid on the mortgage loan over the $20$ years.

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