The following information relates to the intangible assets of University Testing Services (UTS). a. On January 1, 2018, UTS completed the purchase of Heinrich Corporation for $3, 102,000 in cash. The fair value of the net identifiable assets of Heinrich was $2, 800,000. b. Include in the assets purchased from Heinrich was a patent valued at $102, 150. The original legal life of the patent was 20 years; there are 12 years remaining, but UTS believes the patent will be useful for only nine more years. c. UTS acquired a franchise on July 1, 2018, by paying an initial franchise fee of $283, 200. The contractual life of the franchise is 8 years. Required: Record amortization expenses for the intangible assets at December 31, 2018 (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)