Answer: 33 ft².
Step-by-step explanation:
1. As you can see in the figure attached, the trapezoid is formed by a rectangle and two equal right triangles. The base of each triangle is 4 feet and you know the lenght of the hypotenuse AD, therefore, you can calculate the height by applying the Pythagorean Theorem:
2. Now, you can calculate the area with the following formula:
Where <em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.
Then:
Answer:
1.
E(3) = 0.29
2. See Below
Step-by-step explanation:
1.
According to the formula we would need the derivative, so lets first calculate the derivative of f(p) given.
The rules to use would be
Also, remember to use chain rule if there is a function inside a function. So we differentiate the "inside" function again.
Now, lets differentiate:
Now, the E(p):
We find E(3) by substituting 3 into "p":
2.
When E(p) = 1, it means the price elasticity of demand is "1". It is the called Unitary Elastic Demand. It means that for every unit change in price, there is the same unit change in demand. The changes of demand and price are proportional to each other.