27 (circumference) ➗ 3.14 (pi) = 8.59 (diameter)
Distance across (diameter) would be closest to 9.
Solution :
Demand for cola : 100 – 34x + 5y
Demand for cola : 50 + 3x – 16y
Therefore, total revenue :
x(100 – 34x + 5y) + y(50 + 3x – 16y)
R(x,y) = 
In order to maximize the revenue, set
.............(i)
.............(ii)
Solving (i) and (ii),
4 x (i) ⇒ 272x - 32y = 400
(ii) ⇒ (-<u>) 8x - 32y = -50 </u>
264x = 450
∴ 
So, x ≈ $ 1.70 and y = $ 1.99
R(1.70, 1.99) = $ 134.94
Thus, 1.70 dollars per cola
1.99 dollars per iced ted to maximize the revenue.
Maximum revenue = $ 134.94
Step-by-step explanation:
- <em>Exterior angle is same as sum of remote interior angles.</em>
- Solving for x in each case below.
<h3>
#7</h3>
- 5x + 10 + 58 = 11x + 2
- 5x + 68 = 11x + 2
- 11x - 5x = 68 - 2
- 6x = 66
- x = 11
<h3>#8</h3>
- 10x - 10 + 30 = 12x - 4
- 10x + 20 = 12x - 4
- 12x - 10x = 20 + 4
- 2x = 24
- x = 12
<h3>#9</h3>
- 46 - 1 + 8x = 18x + 5
- 8x + 45 = 18x + 5
- 18x - 8x = 45 - 5
- 10x = 40
- x = 4
<h3>#10</h3>
- 15x + 5 + 22x + 4 = 120
- 37x + 9 = 120
- 37x = 111
- x = 3
9514 1404 393
Answer:
r = √(V/(πh))
Step-by-step explanation:
To solve for r, "undo" what has been done to r. The "undo" is generally in the reverse order. Here, we have ...
- r is squared
- the square is multiplied by πh
To undo these operations, we ...
V/(πh) = r² . . . . . . . . divide by πh
√(V/(πh)) = r . . . . . . take the square root
r = √(V/(πh))
