Answer:
The remaining useful life of the plant asset is 6 years.
Step-by-step explanation:
Under straight-line method, depreciation expense is (cost - residual value) / No of years = ($59,200 - $15,000) / X years = $3400 yearly depreciation expense.
Depreciation expense = $44,200/X years = $3,400
$3,400X = $44,200
X = Estimated useful life = $44,200/$3,400 = 13 years
Since accumulated depreciation account at the end of the year is $23,800,
$23,800 / $3,400 = 7 years (total years of depreciation)
Therefore, the remaining useful life is 13 - 7 = 6 years.