I don’t know ♀️ I am very sorry
Answer:
Value of the car is decreasing by 13.9% each year.
Step-by-step explanation:
This equation tells us V(t) is the value of the car after a certain time in years, $21,000 is the initial value of the car. What we need to focus on is on the 0.861 part of this equation. This means that the price of the car is worth 0.861 or 86.1% of what it was worth the year prior, this means that the price of the car is decreasing over time. By how much is it decreasing? Well if we consider 1 to mean 100% (since 100 / 100 =1) then we have 100%-86.1%=13.9%. This means that the value of the car is decreasing 13.9% each year.
Answer:
![\frac{7 + 7 \sqrt{5} }{ - 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%20%2B%207%20%5Csqrt%7B5%7D%20%7D%7B%20-%204%7D%20)
Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example
![5x + 2](https://tex.z-dn.net/?f=5x%20%2B%202)
and
![5x - 2](https://tex.z-dn.net/?f=5x%20-%202)
ARE Conjugates.
The conjugate of
![1 - \sqrt{5}](https://tex.z-dn.net/?f=1%20-%20%20%5Csqrt%7B5%7D%20)
is
![1 + \sqrt{5}](https://tex.z-dn.net/?f=1%20%2B%20%20%5Csqrt%7B5%7D%20)
So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be
![7 \times (1 + \sqrt{5} ) = 7 + 7 \sqrt{5}](https://tex.z-dn.net/?f=7%20%5Ctimes%20%281%20%2B%20%20%5Csqrt%7B5%7D%20%29%20%3D%207%20%2B%207%20%5Csqrt%7B5%7D%20)
We can apply the difference of squares for the denominator.
![(x + y)(x - y) = x {}^{2} - {y}^{2}](https://tex.z-dn.net/?f=%28x%20%2B%20y%29%28x%20-%20y%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20-%20%20%7By%7D%5E%7B2%7D%20)
So our denominator will be
![1 - 5 = - 4](https://tex.z-dn.net/?f=1%20-%205%20%3D%20%20-%204)
So our rationalized fraction will be
![\frac{7 + 7 \sqrt{5} }{ - 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%20%2B%207%20%5Csqrt%7B5%7D%20%7D%7B%20-%204%7D%20)
Answer: 150 people voted in the election.
Step-by-step explanation:
Let x = Total number of votes.
Mason got
votes.
Isabella got 40 votes, Amelia got 60 votes.
Then,
Combined votes = ![40+60+\dfrac{x}{3}=x](https://tex.z-dn.net/?f=40%2B60%2B%5Cdfrac%7Bx%7D%7B3%7D%3Dx)
![100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150](https://tex.z-dn.net/?f=100%3Dx-%5Cdfrac%7Bx%7D%7B3%7D%5C%5C%5C%5C100%3D%5Cdfrac23x%5C%5C%5C%5C%20x%3D100%5Ctimes%5Cdfrac32%5C%5C%5C%5C%20x%3D50%5Ctimes3%5C%5C%5C%5C%20x%3D150)
Hence, 150 people voted in the election.