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A company that makes wildlife videos pur...

A company that makes wildlife videos purchases camera equipment for $32,400. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?

A

10800

B

16200

C

21600

D

29700

Text Solution

AI Generated Solution

The correct Answer is:
To find out how much the camera equipment is worth 4 years after its purchase, we can follow these steps: ### Step 1: Determine the initial cost of the equipment. The initial cost of the camera equipment is given as: \[ \text{Initial Cost} = \$32,400 \] ### Step 2: Calculate the total depreciation over 12 years. Since the equipment depreciates to zero value after 12 years, we can find the annual depreciation rate. The total depreciation over 12 years is equal to the initial cost: \[ \text{Total Depreciation} = \$32,400 \] ### Step 3: Calculate the annual depreciation. To find the annual depreciation, we divide the total depreciation by the number of years: \[ \text{Annual Depreciation} = \frac{\text{Total Depreciation}}{12} = \frac{32,400}{12} = \$2,700 \] ### Step 4: Calculate the total depreciation after 4 years. Now, we can calculate the total depreciation after 4 years: \[ \text{Total Depreciation after 4 years} = 4 \times \text{Annual Depreciation} = 4 \times 2,700 = \$10,800 \] ### Step 5: Calculate the value of the equipment after 4 years. To find the value of the equipment after 4 years, we subtract the total depreciation after 4 years from the initial cost: \[ \text{Value after 4 years} = \text{Initial Cost} - \text{Total Depreciation after 4 years} = 32,400 - 10,800 = \$21,600 \] ### Final Answer: The camera equipment is worth **$21,600** after 4 years. ---
To find out how much the camera equipment is worth 4 years after its purchase, we can follow these steps: ### Step 1: Determine the initial cost of the equipment. The initial cost of the camera equipment is given as: \[ \text{Initial Cost} = \$32,400 \] ...
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