A car's value depreciates at an annual rate of 10%. If the initial value of the car is $20,000, what will be the value of the car after 5 years? ______ dollars (Round to the nearest dollar) .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of exponential decay in a real-world context, specifically with depreciation.
Key Concept Explanation
Exponential decay models a quantity that decreases by a fixed percentage over each equal time period. The general model is , where:
: The quantity after time periods;
: The initial quantity;
: The periodic decay rate (in decimal, negative for decay);
: The number of time periods.
Step-by-step Solution
1. Identify the given values: , , and .
2. Substitute these values into t...
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