A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?
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EThinOh
2 years ago
1 answer - 0 helps
Answer:
t≈19.7
Step-by-step explanation:
I do not have one, I apologize.
Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.
What is an exponential function?
A decaying exponential function is modeled by:
In which:
In this problem:
Then, the equation is:
The value would be of $3,800 at t for which A(t) = 3800, hence:
t = 19.68.
It would take 19.68 years for the value of the car to be $3,800.
More can be learned about exponential functions at https://brainacademy.pro/question/25537936