On January $1,2025,$ Conner, Inc. purchased a trademark for $$390,000$ cash. The trademark's expected useful life is $20$ years. The trademark has no residual value. What is the amount of amortization expense for $2025?$

A$.$ $$9,750$

B$.$ $$39,000$

C$.$ $$13,000$

D$.$ $$19,500$