This Corporation began operations in $2024$ and has these transactions related to intangible assets in that year:

Jan$\mathrm{.}2$ Purchased a patent $(5-$year life$)$ $$330,000$

Apr. $1$ Goodwill purchased as part of an acquisition of another company $$396,000$

Jul$\mathrm{.}1$ Acquired a $9-$year franchise; expiration date July $1,2033$$$594,000$

Dec. $31$ Determined that the recoverable amount of the patent and franchise to be $$193,000$ and $$578,000$ respectively. There was no indication that the goodwill was impaired.

Journal Entries to record the above:

Jan $2.$ Dr patents $$330,000$

Cr cash $$330,000$

April $1.$ Dr goodwill $$396,000$

Cr cash $$396,000$

July $1.$ Dr franchises $$594,000$

Cr cash $$594,000$

Given the journal entries and the information above, prepare any adjusting journal entries required on December $31,2024$: