On October $1,2022,$ Foot Locker places a new asset into service. The cost of the asset is $$24,000$ with an estimated $5-$year life and $$6,000$ salvage value at the end of its useful life. What is the book value of the asset on the December $31,2023,$ Balance Sheet, after the adjusting entry has been made, assuming Foot Locker uses the double$-$declining balance method of deprecation?

Select one:

a$.$ $$12,960$

b$.$ $$15,720$

c$.$ $$21,600$

d$.$ $$8,640$

e$.$ $$15,000$