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Elena L [17]
3 years ago
11

If two equilateral triangles have equal perimeters, they must also have equal areas? True False

Mathematics
2 answers:
Nikitich [7]3 years ago
5 0
That is true.  Since the area of a triangle is 1/2bh the b and h don't change if the triangles are the same
FinnZ [79.3K]3 years ago
3 0
The statement is true.

Hope it helps!
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20% * 300 = 2 * (10% * 300) = 2*30 = 60
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An investment of $7,650 at the rate of 5% and is compounded quarterly. What is the investment at the end of 9 years?
ankoles [38]

Answer:

FV = P(1 + r/t)^nt; where P is the initial investment, r is the rate, t is the number of accumulation in a year, n is the number of years.

FV = 7650(1 + 0.05/4)^(9 x 4) = 7650(1 + 0.0125)^36 = 7650(1.0125)^36 = 7650(1.564) = $11,964.17

Step-by-step explanation:

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Use the Pythagorean theorem to find the distance on the coordinate plane. What is the distance between the two points?
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Find the area of the figure<br> 40 yd<br> 36 yd<br> 20 yd<br> 10 yd<br> 10 yd
Ksenya-84 [330]

Answer:

1640yd

Step-by-step explanation:

10*10*2=200

36*40=1440

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4 0
3 years ago
For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inel
adelina 88 [10]

Answer:

Demand is inelastic at p = 9 and therefore revenue will increase with

an increase in price.

Step-by-step explanation:

Given a demand function that gives <em>q</em> in terms of <em>p</em>, the elasticity of demand is

E=|\frac{p}{q}\cdot \frac{dq}{dp}  |

  • If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
  • If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
  • If E = 1, we say demand is unitary.

We have the following demand equation D(p)=-\frac{3}{4}p+29; p = 9

Applying the above definition of elasticity of demand we get:

E(p)=\frac{p}{q}\cdot \frac{dq}{dp}

where

  • p = 9
  • q = -\frac{3}{4}p+29
  • \frac{dq}{dp}=\frac{d}{dp}(-\frac{3}{4}p+29)

\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}

Substituting the values

E(9)=\frac{9}{-\frac{3}{4}(9)+29}\cdot -\frac{3}{4}\\\\E(9)=\frac{36}{89}\cdot -\frac{3}{4}\\\\E(9)=-\frac{27}{89}\approx -0.30337

|E(9)|=|\frac{27}{89}| < 1

Demand is inelastic at p = 9 and therefore revenue will increase with an increase in price.

6 0
3 years ago
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