So if we take 29.5 to be the 100%, what is 10.03 in percentage?
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
11. m=5 p=15
12. g=3 k=3
13. b=40
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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The correct answer is B. x is greater than -2.