Answer:
2/3
Step-by -step explanation:
If I am reading this right, the final total after adding the 55% markup rate should be $159.65.
Step-by-step explanation:
Given equation
y = 2x - 3
Comparing with y = mx + c
y - intercept (c) = -3
Hope it will help.
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
The missing numbers are 12, 1.5, and 0.75 because it gets divided by 2 (or multiplied by 0.5) each time.
hope this helps.