On October 5, 2022, you purchase a $10,000 Treasury-note that matures on August 15,2031 (settlement occurs one day after purchase, so you recelve actual ownership of the bond on October 6,2022 ). The coupon rate on the Treasury-note is 4.375 percent and the current price quoted on the bond is 105.250 percent. The last coupon payment occurred on May 15.2022 (144 days before settlement), and the next coupon payment will be paid on November 15, 2022 (40 days from settlement). a. Calculate the accrued interest due to the seller from the buyer at settlement. b. Calculate the dirty price of this transaction. (For all requirements, do not round intermediate calculations. Round your answers to 3 decimal places. (e.g., 32.161))