Answer:
$34.5
$5,951.5
Step-by-step explanation:
P(x)=27+x
Quantity (x)=210-5x
Income(y)=price×quantity
=(27+x)(210-5x)
=5670-135x+210-5x^2
y= -5x^2+75x+5670
dy/dx= -10x+75=0
-10x=-75
x=-75/-10
=7.5
x=7.5
Maximum income=27+x
=27+7.5
=$34.5
Total income=(27+x)(210-5x)
=(27+7.5){210-5(7.5)}
=(34.5)(210-37.5)
=(34.5)(172.5)
=$5,951.25
Answer with explanation:
The equation of the ellipse is ,whose centroid we have to find is

The curve cuts the x axis at (2,0) and (-2,0) and y axis at (0,3) and (0,-3).
We have to find centroid of the Ellipse on the right of y axis.
Center of gravity will lie on x axis.

![\bar{x}=\frac{\frac{2^2}{2} \times [3-(-3)]}{2*3}\\\\ \bar{x}=\frac{6}{6}\\\\ \bar{x}=1\\\\ \bar{y}=0\\\\ \text{Center of gravity}=(\bar{x},\bar{y})=(1,0)](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5Cfrac%7B%5Cfrac%7B2%5E2%7D%7B2%7D%20%5Ctimes%20%5B3-%28-3%29%5D%7D%7B2%2A3%7D%5C%5C%5C%5C%20%5Cbar%7Bx%7D%3D%5Cfrac%7B6%7D%7B6%7D%5C%5C%5C%5C%20%5Cbar%7Bx%7D%3D1%5C%5C%5C%5C%20%5Cbar%7By%7D%3D0%5C%5C%5C%5C%20%5Ctext%7BCenter%20of%20gravity%7D%3D%28%5Cbar%7Bx%7D%2C%5Cbar%7By%7D%29%3D%281%2C0%29)
Answer:
I don't think it's either of those
Step-by-step explanation:
8 x 10 = 80 and 80 is the true answer I believe or maybe I read it incorrectly
Answer:
3 miles
Step-by-step explanation:
Answer:
area of big rectangle=l×b=12×18=216cm²
area of smaller square=l²=8²=64cm²
area of shaded area =area of (bigger rectangle-smaller square)=216-64=152cm²