A $$88$ comma $000$ mortgage is to be repaid over a twenty$-$year period by monthly payments rounded up to the next$-$higher $$100.$ Interest is $5\mathrm{.}3\%$ compounded semi dash annually. $($a$)$ Determine the number of rounded payments required to repay the mortgage. $($b$)$ Determine the size of the last payment. $($c$)$ Calculate the amount of interest saved by rounding the payment up to the next higher $$100$ versus rounding the payment to the nearest cent. Question content area bottom Part $1($a$)$ The number of rounded payments required to repay the mortgage is enter your response here. $($Round up to the nearest whole number.$)$ Part $2($b$)$ The size of the last payment will be $ enter your response here. $($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$ Part $3($c$)$ The amount of interest saved is $