On January $26,$ Bella Co$,$ borrowed cash from Conrad Bank by issuing a $30-$day note with a face amount of $$66,000.$ Assume a $360-$day year.

a$.$ Determine the proceeds of the note, assuming the note carries an interest rate of $7\%.$

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b$.$ Determine the proceeds of the note, assuming the note is discounted at $7\%.$