Step-by-step explanation:
<h3>Part A</h3>
<u>Circumference formula:</u>
<u>Find π:</u>
- 25.12 = 8π ⇒ π = 25.12/8 ⇒ π = 3.14
- 9.42 = 3π ⇒ π = 9.42/3 ⇒ π = 3.14
<h3>Part B</h3>
<u>Area formula:</u>
<u>Find π:</u>
- 50.24 = π*8²/4 ⇒ 50.24 = 16π ⇒ π = 50.24/16 ⇒ π = 3.14
- 7.065 = π*3²/4 ⇒ 7.065 = 9π/4 ⇒ π = 4*7.065/9 ⇒ π = 3.14
<h3>Part C</h3>
- The value of π is same - 3.14 from each case we have
Answer:
the answer is z=63
Step-by-step explanation:
The good has an income elasticity of demand of -2. 0. This means that the good is <u>inferior goods.</u>
<h3>What are the characteristics of inferior goods?</h3>
An inferior good occurs when an increase in income causes a fall in demand.
An inferior good has a negative income elasticity of demand. (YED) Inferior goods are characterized by low quality – and are goods with better alternatives.
Suppose that good has an income elasticity of demand of -2. 0. This means that the good is <u>inferior goods.</u>
An inferior good is one whose demand drops when people's incomes rise. When incomes are low or the economy contracts, inferior goods become a more affordable substitute for more expensive goods.
Inferior goods are the opposite of normal goods, whose demand increases even when incomes increase.
Hence, the good has an income elasticity of demand of -2. 0. This means that the good is <u>inferior goods.</u>
Learn more about inferior goods here;
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Answer:
the origin, (0, 0)
Step-by-step explanation:
The coordinates of A' are 1/2 those of A, meaning each has been multiplied by the scale factor 1/2. When the dilated points are all the original points multiplied by the scale factor, the center of dilation is the origin.
_____
For center of dilation Q, the image of a point A after dilation by a factor of k is ...
A' = kA + (k-1)Q
Then for points A, A', and dilation factor k, the center of dilation can be found to be ...
(A' -kA)/(k-1) = Q
Here, that is ...
Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)