Answer:
Step-by-step explanation:
The answer would be ( x+1, y+4)...... Hope this helps
Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
![A(t) = A(0)(1 - r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20-%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
![A(t) = A(0)(0.88)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%280.88%29%5Et)
![0.5A(0) = A(0)(0.88)^t](https://tex.z-dn.net/?f=0.5A%280%29%20%3D%20A%280%29%280.88%29%5Et)
![(0.88)^t = 0.5](https://tex.z-dn.net/?f=%280.88%29%5Et%20%3D%200.5)
![\log{(0.88)^t} = \log{0.5}](https://tex.z-dn.net/?f=%5Clog%7B%280.88%29%5Et%7D%20%3D%20%5Clog%7B0.5%7D)
![t\log{0.88} = \log{0.5}](https://tex.z-dn.net/?f=t%5Clog%7B0.88%7D%20%3D%20%5Clog%7B0.5%7D)
![t = \frac{\log{0.5}}{\log{0.88}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B0.5%7D%7D%7B%5Clog%7B0.88%7D%7D)
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
3x(4x+5y)
Step-by-step explanation:
and yh.........