Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
<u>First, we establish the total cost formula for each:</u>
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
<u>Now, we equal both formulas and isolate x:</u>
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
<u>Prove:</u>
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
Answer:
Step-by-step explanation:
<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>
<u>The slope is:</u>
- m = (-8 - 2)/(-1 - 1) = -10/-2 = 5
<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>
- 2 = 5(1) + b
- b = 2 - 5
- b = -3
<u>The line is:</u>
<u>Point (x, 17), substitute y-coordinate and solve for x</u>
- 17 = 5x - 3
- 5x = 17 + 3
- 5x = 20
- x = 20/5
- x = 4
What are the units? Tell me the units so I can solve this please.
-3b=-9. Plug in 3. -3(3)=-9.
Answer:
<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>
Step-by-step explanation:
Let's recall that the formula for finding out the volume of a cone is:
Volume of a cone = π * r² * h/3
Replacing with the real values, we have:
diameter = 4 inches ⇒ radius = 2 inches
Volume of a cone = 3.1416 * 2² * 9/3
Volume of a cone = 3.1416 * 4 * 3
Volume of a cone = 37.7 cubic inches
