On April $1,$ a patent with an estimated useful economic life of $12$ years was acquired for $$72,000.$ In addition, on December $31,$ it was estimated that goodwill of $$38,000$ was impaired.

a$.$ Journalize the entry to record the acquisition of the patent. If an amount box does not require an entry, leave it blank.

April $1$

b$.$ Journalize the adjusting entry on December $31$ for the amortization of the patent rights. Do not round intermediate calculations. If an amount box does not require an entry, leave it blank.

December $31$

c$.$ Journalize the adjusting entry on December $31$ for the impaired goodwill. If an amount box does not require an entry, leave it blank.

December $31$