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____ [38]
3 years ago
5

A 20% increase in price led the quantity supplied of pencils in a competitive market to increase from 380.00 to 410.00. What is

the price elasticity of supply for pencils?
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

  about 0.39 (inelastic)

Step-by-step explanation:

Elasticity of supply is the ratio of percentage supply change to a corresponding percentage of price change. Here, that is ...

  eos = (410/380 -1)/(0.20) = 0.78947/0.2 ≈ 0.3947

Values below 1 are said to correspond to an <em>inelastic</em> supply, one not very sensitive to price.

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A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
kompoz [17]

Answer:

a. (-3, 2).

b.  √65

c.  (x + 3)^2 + (y - 2)^2 = 65

Step-by-step explanation:

a.  The center is the midpoint  of the diameter PQ.

= (-10+4)/2, (-2+6)/2

= (-3, 2).

b. The radius is the distance from the center to a point on the circle.

Take the point (4, 6):

The radius = √((-3-4)^2 + (2-6)^2)

= √65.

c.  The equation of the circle is:

Using the standard form

(x - h)^2 + (y - k)^2 = r^2  where  (h, k) is the center and r = the radius:

it is (x - (-3)^2 + (y - 2) = 65

= (x + 3)^2 + (y - 2)^2 = 65.

4 0
4 years ago
Read 2 more answers
There are 15 candidates for 4 job positions.
Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

<em></em>

Method 2:

This can be solved using permutation method which goes thus;

nPr = \frac{n!}{(n-r)!}

Where n = 15 and r = 4

So;

nPr = \frac{n!}{(n-r)!} becomes

15P4 = \frac{15!}{(15-4)!}

15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

15P4 = 15*14*13*12

15C4 = 32760

<em>Hence, there are 32760 ways</em>

8 0
4 years ago
The length of a rectangle is (2x+5) units and the breadth is (3x-1) units .Find the perimeter and the area of the rectangle.
jolli1 [7]

Answer:

Perimeter =  10x + 8 units.

Area = 6x^2 + 13x - 5 units^2.

Step-by-step explanation:

The perimeter  is 2*length + 2*breadth

= 2(2x + 5) + 2(3x - 1)

= 4x + 10 + 6x - 2

= 10x + 8 units.

The area = length * breadth

= (2x + 5)(3x - 1)

= 6x^2 - 2x + 15x - 5

= 6x^2 + 13x - 5 units^2.


7 0
3 years ago
What is the answer for I=E/R for E
Elden [556K]

http://lianmath.com/describe-a-serie-of-shifts-that-translates-the-graph-yx-93-4-back-onto-the-graph-of-yx-3/


7 0
3 years ago
Please help me with this
Rudik [331]

Answer:

  x = 18

Step-by-step explanation:

The parts of the triangles are proportional, so you can write ...

  2x/80 = 27/60

Multiply by 120:

  3x = 54

Divide by 3:

  x = 18

3 0
3 years ago
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