A piece of machinery has an initial value of $25,000. It depreciates at a rate of 5% per quarter. After 2 years, the value of the machinery is _______. (Round to the nearest dollar)
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to handle exponential decay with a non-annual depreciation rate. The student must convert the time into the appropriate units and apply the depreciation formula.
Key Concept Explanation
The key concept is the depreciation formula: , where is the remaining value, is the initial value, is the depreciation rate, and is the time in the same units as the rate.
Step-by-step Solution
1. Identify the given values: , , (since there are 8 quarters in 2 years).
2. Substitute these values into the depreciation formula:
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