A new piece of machinery is purchased for $80,000. The machinery depreciates at a rate of 4% per year. What is the value of the machinery after 5 years? ______. (Round to the nearest dollar)
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the depreciation formula to find the value of an asset after a given period. The problem involves substituting the given values into the formula and performing the necessary calculations.
Key Concept Explanation
Depreciation is an exponential decay process where the value of an asset decreases over time at a fixed rate. The formula is used to calculate the remaining value of the asset, where is the initial value, is the depreciation rate, and is the time in years.
Step-by-step Solution
1. Identify the given values: , ,
2. Substitute these values into the depreciation formula:
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