A building has an initial value of $200,000 and depreciates at an annual rate of 5%. After 5 years, the value of the building is ________. (Round to the nearest dollar)
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to apply the depreciation formula to a real-world scenario involving a building. The problem provides the initial value, the annual depreciation rate, and the time period, and asks for the remaining value after the given time.
Key Concept Explanation
Depreciation is a form of exponential decay where the value of an asset decreases over time at a fixed proportion. The formula is used to calculate the remaining value of an asset after a certain period.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into the depreciation formula:
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