straight - line depreciation\na high school invests in new computer lab equipment costing $22,000, expecting…

straight - line depreciation\na high school invests in new computer lab equipment costing $22,000, expecting it to last 8 years with a salvage value of $2,000.\nwhich equation represents its straight - line depreciation?\nd(t)=22,000 - 2,000t\nd(t)=20,000 - 2,500t\nd(t)=22,000 + 2,500t\nd(t)=22,000 - 2,500t

straight - line depreciation\na high school invests in new computer lab equipment costing $22,000, expecting it to last 8 years with a salvage value of $2,000.\nwhich equation represents its straight - line depreciation?\nd(t)=22,000 - 2,000t\nd(t)=20,000 - 2,500t\nd(t)=22,000 + 2,500t\nd(t)=22,000 - 2,500t

Answer

Explanation:

Step1: Calculate depreciable amount

The depreciable - amount is the cost minus the salvage value. So, $22000 - 2000=20000$.

Step2: Calculate annual depreciation

The equipment has a useful life of $t = 8$ years. The annual depreciation $d=\frac{20000}{8}=2500$.

Step3: Write the straight - line depreciation formula

The straight - line depreciation formula is $D(t)=C - dt$, where $C$ is the initial cost and $d$ is the annual depreciation. Here, $C = 22000$ and $d = 2500$, so $D(t)=22000-2500t$.

Answer:

$D(t)=22000 - 2500t$