Answer:
250
Step-by-step explanation:
There is a 200 start up cost plus 50 per month
Cost = 200 + 50m where m is the number of months
We have 1 month
Cost = 200 +50(1)
Cost = 250
Hello there! The area of the triangle portion is 11 square units, the area of the rectangle portion is 77 square units, and the area of the entire figure is 88 square units.
To find the area of the triangle, we can follow the formula:
A = LW/2 (which means length x width divided by 2)
Given the formula:
2 • 11 = 22
22 divided by 2 gives us 11 square units.
To find the area of the rectangle portion, we can follow the area formula:
A = LW (which means area = length x width)
Given the formula:
7 • 11 = 77 square units
To find the area of the whole figure, we add the areas of both isolated shapes:
11 + 77 = 88 square units.
Therefore, our area for the entire figure is 88 square units. If you need any extra help, let me know and I will gladly assist you.
Answer:
![f_{avg}=\frac{1}{e-1}](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D)
Step-by-step explanation:
We are given that a function
![f(x)=2lnx](https://tex.z-dn.net/?f=f%28x%29%3D2lnx)
We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by
![\frac{1}{b-a}\int_{a}^{b}f(x)dx](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bb-a%7D%5Cint_%7Ba%7D%5E%7Bb%7Df%28x%29dx)
Using the formula
![f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%5Cint_%7B1%7D%5E%7Be%7Dlnx%20dx)
By Parts integration formula
![\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx](https://tex.z-dn.net/?f=%5Cint%28uv%29dx%3Du%5Cint%20vdx-%5Cint%28%5Cfrac%7Bdu%7D%7Bdx%7D%5Cint%20vdx%29dx)
u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)
![f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28e-0-e%2B1%29%3D%5Cfrac%7B1%7D%7Be-1%7D)
By using property lne=1,ln 1=0
![f_{avg}=\frac{1}{e-1}](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D)
Round 9 3/4 to 10 ft
10 × 4 = 40 ft²
answer is 40ft² estimated