<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
I don't know if this helps or not but she pays $244.25 each month.
Answer:
12
Step-by-step explanation:
hhahhahhahhaaahahaah
Answer:
-693.43957
Step-by-step explanation:
-3.7^5
Answer:
32 people came in blue cars and 6 people came in red cars
Step-by-step explanation:
Technically, all 48 people came in red or blue cars, but I'm assuming that's not what the question is asking.
To find how many people came in blue cars, we do 2/3*48 which is equal to 32 people.
To find how many people came in red cars, we do 1/8*48 which is equal to 6 people.
