On August $1,$ Batson Company issued a $60-$day note with a face amount of $$82,800$ to Jergess Compasy for merchandise ifventory. $($Assume a $360-$day year is used for interest calculations.$)$

a$.$ Determine the proceeds of the note assuming the note carries an interest rate of $8\%.$

b$.$ Determine the proceeds of the note assuming the note is discounted at $3\%.$