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A diesel-powered tractor with a cost of \(145,000 and estimated residual value of \)7,000 is expected to have a useful operating life of 75,000 hours. During July, the generator was operated 150 hours. Determine the depreciation for the month.

Short Answer

Expert verified
The depreciation for the month of July is $276.

Step by step solution

01

Identify the Variables

First, let's identify the variables we have. The cost of the tractor is $145,000, and the estimated residual value is $7,000. The useful operating life is expected to be 75,000 hours. In July, the tractor was used for 150 hours.
02

Calculate the Depreciable Cost

To find the depreciable cost, subtract the residual value from the initial cost of the tractor. This is calculated as follows:\[\text{Depreciable Cost} = 145,000 - 7,000 = 138,000\]
03

Calculate the Depreciation Rate per Hour

The depreciation rate per hour is found by dividing the depreciable cost by the total estimated useful hours. So,\[\text{Depreciation per Hour} = \frac{138,000}{75,000} = 1.84\]
04

Calculate the Monthly Depreciation

Finally, calculate the depreciation for the month of July by multiplying the depreciation rate per hour by the number of hours used in July. Thus,\[\text{Monthly Depreciation} = 1.84 \times 150 = 276\]
05

Conclusion: Monthly Depreciation for July

Therefore, the depreciation of the tractor for the month of July is $276.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Useful Life of Asset
When it comes to accounting for the cost of assets over time, one essential concept is the "useful life of an asset." The useful life of an asset refers to the estimated time span an asset is expected to be used before it becomes unproductive or obsolete. For instance, in this exercise, the useful life of a diesel-powered tractor is expected to be 75,000 hours. This means that over these hours, the tractor will be contributing effectively to operations.
  • Aids in estimating how long an asset will be productive.
  • Facilitates budgeting for replacement or disposal.
The concept is crucial because it helps determine how the cost of an asset will be distributed over its productive life. Understanding this concept ensures businesses don't dilute their financial results with erratic expenses, but instead gradually recognize the asset’s value reduction.
Residual Value
Residual value is another key term utilized in depreciation calculations. This represents the expected monetary value of an asset at the end of its useful life. Simply put, it's how much you think you'll be able to sell the asset for (or trade it in) once you're done using it. In the case of the diesel-powered tractor, the estimated residual value is $7,000. Thus, when the tractor has reached its 75,000 hours of usage, it's anticipated to have retained this amount of value.
  • Considers future asset disposal or sale.
  • Crucial for accurate depreciation calculation.
The residual value reduces the amount you depreciate. Businesses subtract it from the initial cost to find the amount that needs to be spread over the useful life. This ensures that they're only depreciating the value that diminishes over time.
Depreciable Cost
Depreciable cost is probably the most vital component in straightforward depreciation accounting. It indicates the total cost that will be allocated over the useful life of the asset. To calculate this, one simply subtracts the residual value from the asset's initial purchase cost. In our scenario, the tractor's depreciable cost is calculated like so: \[\text{Depreciable Cost} = 145,000 - 7,000 = 138,000\]
  • This cost is spread over the asset’s useful life.
  • Ensures accurate reflection of the asset’s depreciation over time.
Calculating this cost is essential because it identifies the real amount of value loss expected from the asset. This figure guides how much of the asset's cost will appear as an expense each accounting period, ensuring there are no drastic fluctuations in expenses due to asset purchasing.
Depreciation Rate
The concept of a depreciation rate is about understanding how quickly an asset loses its value over its useful life. It’s expressed as a ratio or rate, often calculated on a per usage basis for assets like machinery/vehicles, as this provides a more clear picture of the asset's expense.For the tractor example, the depreciation rate per hour is calculated by dividing the depreciable cost by the total estimated useful hours: \[\text{Depreciation per Hour} = \frac{138,000}{75,000} = 1.84\]
  • Depicts the expense cost attributed to each unit of usage (e.g., hour of operation).
  • Helps in forecasting expenses over the asset’s life span.
This helps businesses in not just regular accounting but also budgeting and forecasting operations. Such insight means they can better plan for maintenance and eventual replacement, ultimately leading to more efficient operations and financial management.

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Most popular questions from this chapter

Legacy Ironworks Co. reported \(3,175,000 for equipment and \)2,683,000 for accumulated depreciation—equipment on its balance sheet. Does this mean (a) that the replacement cost of the equipment is \(3,175,000 and (b) that \)2,683,000 is set aside in a special fund for the replacement of the equipment? Explain.

On April 1, Gyminny Delivery Services acquired a new truck with a list price (fair market value) of \(150,000. Gyminny received a trade-in allowance of \)30,000 on an old truck of similar type and paid cash of \(120,000. The following information about the old truck is obtained from the account in the equipment ledger: cost, \)96,000; accumulated depreciation on December 31, the end of the preceding fiscal year, \(64,000; annual depreciation, \)16,000. Assuming the exchange has commercial substance, journalize the entries to record (a) the current depreciation of the old truck to the date of trade-in and (b) the transaction on April 1.

Convert each of the following estimates of useful life to a straight-line depreciation rate, stated as a percentage, assuming that the residual value of the fixed asset is to be ignored: (a) 2 years, (b) 8 years, (c) 10 years, (d) 20 years, (e) 25 years, (f) 40 years, (g) 50 years.

A refrigerator used by a meat processor has a cost of \(93,750, an estimated residual value of \)10,000, and an estimated useful life of 25 years. What is the amount of the annual depreciation computed by the straight-line method?

Jaime Baldwin owns and operates Love Transport Co. During the past year, Jaime incurred the following costs related to an 18-wheel truck: 1\. Changed engine oil. 2\. Installed a wind deflector on top of the cab to increase fuel mileage. 3\. Replaced fog and cab light bulbs. 4\. Modified the factory-installed turbo charger with a special-order kit designed to add 50 more horsepower to the engine performance. 5\. Replaced a headlight that had burned out. 6\. Removed the old CB radio and replaced it with a newer model with a greater range. 7\. Replaced the old radar detector with a newer model that detects the KA frequencies now used by many of the state patrol radar guns. The detector is wired directly into the cab, so that it is partially hidden. In addition, Jaime fastened the detector to the truck with a locking device that prevents its removal. 8\. Replaced the hydraulic brake system that had begun to fail during his latest trip through the Rocky Mountains. 9\. Installed a television in the sleeping compartment of the truck. 10\. Replaced a shock absorber that had worn out. Classify each of the costs as a capital expenditure or a revenue expenditure.

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