Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:


Convert to fraction

Cross Multiply:


Collect Like Terms


Solve for x


<em>The length of the missing side is 10</em>
1, Might not be precise
2, Can be hard to plot the graphs
3, If there are many solutions that will be really hard to plot sometimes.
This is just from the top of my head.
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:
6300
Step-by-step explanation:
253 is closer to 300 than to 200