Answer:
zero
Step-by-step explanation:
This flat horizontal line is Y=1 has a slope (rate of change) of zero.
Answer:
Original price of car = $20,000
Step-by-step explanation:
Let the original price of the car be 'x' dollars.
Given:
Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.
Worth of car after 8 years = $5000
Value after depreciation in 4 years = Half of original value = ![\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D)
So, value of car after depreciation in another 4 years = Half of the value after 4 years = ![\frac{1}{2}(\frac{x}{2})=\frac{x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7Bx%7D%7B2%7D%29%3D%5Cfrac%7Bx%7D%7B4%7D)
Therefore, final depreciated value after 8 years is
.
But, as per question, final depreciated value is $5000. Thus,
![\frac{x}{4}=5000\\x=5000\times 4\\x=20000](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D%3D5000%5C%5Cx%3D5000%5Ctimes%204%5C%5Cx%3D20000)
Therefore, the original price of the car was $20,000.
Answer:
1000miles per hour
Step-by-step explanation:
9514 1404 393
Answer:
-0.16
Step-by-step explanation:
The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.
Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...
y = a(x +2)^2 +4
Using the point (3, 0), we have ...
0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y
-4 = 25a . . . . . . . . . . subtract 4; next, divide by 25
a = -4/25 = -0.16
To solve, we need to subtract from these two fractions. In order to do this, we will change one of them to have the same denominator as the other.
We have 5/14 and 1/7
Let us change 1/7
Multiply 2/2 (a form of 1 so it does not change the value of the fraction)
2/2 • 1/7 = 2/14
Now subtract from 5/14
5/14 - 2/14 = 3/14
ANSWER: Vicky ran 3/14 of a mile more