Question
the value in dollars v(x) f a certain car after x years is represented by the equation v (x)=25,000(0.86)x in the context of the siuation what is the meaning of v(6)=10114.18
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GPT-4o mini
In the context of the given equation \( v(x) = 25,000(0.86)^x \), \( v(x) \) represents the value of the car after \( x \) years, where the value starts at $25,000 and depreciates at a rate of 14% per year (as indicated by the factor \( 0.86 \)).
When calculating \( v(6) \), you are finding the value of the car after 6 years. The specific value \( v(6) = 10114.18 \) means that after 6 years, the estimated value of the car is approximately $10,114.18.
In summary, \( v(6) = 10114.18 \) signifies the depreciation of the car's value over 6 years, indicating that the car has lost significant value from its initial price of $25,000 and is now worth about $10,114.18.
When calculating \( v(6) \), you are finding the value of the car after 6 years. The specific value \( v(6) = 10114.18 \) means that after 6 years, the estimated value of the car is approximately $10,114.18.
In summary, \( v(6) = 10114.18 \) signifies the depreciation of the car's value over 6 years, indicating that the car has lost significant value from its initial price of $25,000 and is now worth about $10,114.18.
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