Solve the following problems. Show all pertinent solutions. 1) Mr. Juan signed a note of P5,000 at 18% rate of interest on March 22. At the end of the term of the note, he paid an interest of P225. What was the date of maturity of the note? 2) A principal was borrowed at 6 and the amount of P5,812.50 was paid at the end of 2 years. Find the interest and the original amount borrowed. 3) A non-interest bearing 60-day note was discounted at a bank at 12% for 30 days and the bank deducted P50 as the bank discount. Find the face value of the note and the proceeds. 4) A certain amount was borrowed from a bank at 9% compounded semiannually for three years. At the end of the loan period P65,113.01 was paid back. What amount was originally borrowed? 5) A businessman borrowed P50,000 from a bank. The interest was compounded semiannually for three years. At the end of the loan period, the businessman paid back P63,265.95. what was the nominal rate? 6) An amount of 20,000 was borrowed at 12% compounded semiannually. At the end of the loan period, P28,370.38 was paid back. What was the number of interest periods and the number of years