A new car has an initial value of $40,000. The car depreciates at a rate of 10% per year. After 4 years, the value of the car is ______.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of exponential decay over a longer period. The student must apply the depreciation formula and round the result to the nearest dollar.
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 years.
Step-by-step Solution
1. Identify the given values: , , .
2. Substitute these values into the depreciation formula:
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