A mortgage for a condominium had a principal balance of $47,000 that had to be amortized over the remaining period of 6 years. The interest rate was fixed at 3.42% compounded semi-annually and payments were made monthly. a. Calculate the size of the payments. Round up to the next whole number b. If the monthly payments were set at $823, by how much would the time period of the mortgage shorten? 0 year(s) 0 months c. If the monthly payments were set at $823, calculate the size of the final Round to the nearest cent