Answer:
Quantity = 59 units
Price = $111
Step-by-step explanation:
The Demand function is given by
The Marginal cost is given by
We are asked to find the quantity and price of goods.
Firstly, obtain the Marginal revenue function from the demand function
The Total revenue is given by
The Marginal revenue is the derivative of the Total revenue,
Assuming that the monopolist maximizes profits,
Therefore, the quantity is 59 units.
The price of each good is
Therefore, the price is $111.
Answer:
Difference in volume between the two vinyl records = 3.872 in³
Step-by-step explanation:
Complete Question
2 Columbia records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. If the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.
Each of the vinyl records will be modeled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records:
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records:
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³.
Therefore, the difference in volume between the two vinyl records = 3.872 in³.
Have a nice day!
Radical 7
radical 84=2 radical 21
radical 21 divided by 2 radical 3 is radical 7
Answer:
125 cups can hold 49.5 liters of water.
Step-by-step explanation:
The volume of the cup will tell how much water is needed to fill each cup.
The volume of the cup can be determined by the formula
V= base area* height
V= πr²* h
V= 22/7 (3)² (14)
V= 396cm³
125 cups can hold 125 * 396 cm³= 49500cm³
But 1 cm³= 0.001 Liters
Therefore = 49500*0.001= 49.5 liters
125 cups can hold 49.5 liters of water.
Answer:
the answer is 4 1/4 hours
Step-by-step explanation:
45+(80x2)=205+160=365
80_4=20+365=385
