A vehicle has an initial value of $25,000. If it depreciates at a semi-annual rate of 4%, what will be its value after 3 years? The value after 3 years is $____. (Round to the nearest hundredth.)
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to handle semi-annual depreciation rates and convert time units appropriately.
Key Concept Explanation
When the depreciation rate is given in semi-annual terms, the time must be converted to the same unit. For 3 years, there are 6 semi-annual periods. The formula is used, where is the remaining value, is the initial value, is the depreciation rate, and is the number of periods.
Step-by-step Solution
1. Identify the given values: , , .
2. Substitute these values into the formula:
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