Answer:
Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200
Step-by-step explanation:
p = 400 - 4x
4x = 400 - p
x = (400 - p) / 4 → x = 100 - p/4
Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)
Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4
P ed = <u>-1</u> x<u> p </u>
4 (400 - p)/4
= <u>-1</u> x <u> 4p </u> = -p / (400-p)
4 (400 - p)
Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).
So, Ped = p / (400 - p)
Demand is Elastic when P.ed > 1
p / (400-p) > 1
p > 400 - p
p + p > 400 → 2p > 400
p > 400 / 2 → p > 200
Demand is inelastic when P.ed < 1
p / (400-p) < 1
p < 400 - p
p + p < 400 → 2p < 400
p < 400 / 2 → p < 200
Answer:
62.79cm
Step-by-step explanation:
<u>We are using TRIGONOMETRY</u>. To find the area of a triangle with 2 lengths and a non-right angle, we will use the sine rule.
Area of Triangle = 1/2 * a * b * sin(c)
(Where a & b represent our lengths, and sin(c) represents our angle.)
Area of Triangle = 1/2 * 10 * 13 * sin(105)
Area of the Triangle = 62.79cm
If you keep the radius the same and double the height, you find that by experimentation with this a few times, doubles your volume as well. That means that instead of 1/3 pi r^2 h, we will have 2/3 pi r^2 h. Your answer B.
Answer:
The answer to your question is the letter C
Step-by-step explanation:
Data
When we multiply a scalar by a matrix, we must multiply the scalar by each of the numbers of the matrix and the result of the multiplication stays in the same place.
For this problem:
3 | -2 0 | = | (-2 x 3) (0 x 3) |
| 4 -7 | | (4 x 3) (-7 x 3) |
= | -6 0 |
| 12 -21 |
You first add 4 to both sides so your equation will look like this:
2/9 x = 13
Then you divide both sides by 2/9
X= 58 1/2
