Answer: 96 cents or 0.96
Step-by-step explanation:
When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96
Answer:
12 inches
Step-by-step explanation:
if i where you and wherent sure i would go around brainly looking for the answer are go with my gut
Answer:
base side = 9.037 inches
height = 6.024 inches
Minimum cost = 196 cents
Step-by-step explanation:
The volume of the bin is given by:
![Volume = side^2 * height](https://tex.z-dn.net/?f=Volume%20%3D%20side%5E2%20%2A%20height)
and the surface area of the bin is given by:
![Surface\ area = side^2 + 4*side*height](https://tex.z-dn.net/?f=Surface%5C%20area%20%3D%20side%5E2%20%2B%204%2Aside%2Aheight)
The cost of the bin will be:
![Cost = 0.8*side^2 + 0.6*4*side*height](https://tex.z-dn.net/?f=Cost%20%3D%200.8%2Aside%5E2%20%2B%200.6%2A4%2Aside%2Aheight)
![Cost = 0.8*side^2 + 2.4*side*height](https://tex.z-dn.net/?f=Cost%20%3D%200.8%2Aside%5E2%20%2B%202.4%2Aside%2Aheight)
From the volume equation, we have:
![height = 492 / side^2](https://tex.z-dn.net/?f=height%20%3D%20492%20%2F%20side%5E2)
Now the cost will be:
![Cost = 0.8*side^2 + 2.4*side*492/side^2](https://tex.z-dn.net/?f=Cost%20%3D%200.8%2Aside%5E2%20%2B%202.4%2Aside%2A492%2Fside%5E2)
![Cost = 0.8*side^2 + 1180.8/side](https://tex.z-dn.net/?f=Cost%20%3D%200.8%2Aside%5E2%20%2B%201180.8%2Fside)
To find the side that gives the minimum cost, we can find the derivative of Cost in relation to side and then make it equal zero:
Abbreviating Cost as C and side as s, we have:
![dC/ds = 0.8*2*s - 1180.8/s^2](https://tex.z-dn.net/?f=dC%2Fds%20%3D%200.8%2A2%2As%20-%201180.8%2Fs%5E2)
![1.6s - 1180.8/s^2 = 0](https://tex.z-dn.net/?f=1.6s%20-%201180.8%2Fs%5E2%20%3D%200)
![1.6s = 1180.8/s^2](https://tex.z-dn.net/?f=1.6s%20%3D%201180.8%2Fs%5E2)
![1.6s^3 = 1180.8](https://tex.z-dn.net/?f=1.6s%5E3%20%3D%201180.8)
![s^3 = 738](https://tex.z-dn.net/?f=s%5E3%20%3D%20738)
![s = 9.037\ in](https://tex.z-dn.net/?f=s%20%3D%209.037%5C%20in)
Finding the height of the bin, we have:
![height = 492 / 9.037^2](https://tex.z-dn.net/?f=height%20%3D%20492%20%2F%209.037%5E2)
![height = 6.024\ in](https://tex.z-dn.net/?f=height%20%3D%206.024%5C%20in)
The minimum cost is:
![Cost = 0.8*9.037^2 + 1180.8/9.037 = 196\ cents](https://tex.z-dn.net/?f=Cost%20%3D%200.8%2A9.037%5E2%20%2B%201180.8%2F9.037%20%3D%20196%5C%20cents)
I’m pretty certain it’s 100