square
Step-by-step explanation:
Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed
35000(0.95)^8= 23219.7151
Round to the nearest hundredth value:
About $23219.72
Let me know if you have any questions :)
we are given that
two triangles are similar
so, the ratio of their sides must be same
we get
![\frac{2}{6} =\frac{x}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D%20%3D%5Cfrac%7Bx%7D%7Bx%2B2%7D)
now, we can solve for x
step-1: Cross multiply both sides
![2(x+2) =6x](https://tex.z-dn.net/?f=2%28x%2B2%29%20%3D6x%20)
step-2: Simplify left side
![2x +4 =6x](https://tex.z-dn.net/?f=%202x%20%2B4%20%3D6x%20)
step-3: Subtract both sides by 2x
![2x +4-2x =6x-2x](https://tex.z-dn.net/?f=%202x%20%2B4-2x%20%3D6x-2x%20)
![4 =4x](https://tex.z-dn.net/?f=%204%20%3D4x%20)
step-4: Divide both sides by 4
![x=1](https://tex.z-dn.net/?f=%20x%3D1%20)
so,
............Answer
The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
5x-15=y-15
thus
y=5x
thus the equation is:
y=5x