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sineoko [7]
3 years ago
13

Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calcul

ating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100e2t C) A = 100 + te2 D) A = 100 + e2t
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You can now work this out as +1 represents the 100% + 200% sum.

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Quadrilateral PUMA has coordinates at P(-5,-2), U(-1,2), M(4,-3), A(0,-7) and it is transformed by (x+3,y-5). Determined the ima
IgorLugansk [536]

The image of M is (7 , -8)

Step-by-step explanation:

Let us revise some transformation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ The quadrilateral PUMA has coordinates at:

   P (-5 , -2) , U (-1 , 2) , M (4 , -3) , A (0 , -7)

∵ It is transformed by (x + 3 , y - 5)

- That means the quadrilateral translated 3 units right and 5 units

   down, then we add each x-coordinate by 3 and subtract 5 from

   each y-coordinate

∵ The coordinates of point M are (4 , -3)

∴ The image of point M = (4 + 3 , -3 - 5)

∴ The image of point M = (7 , -8)

The image of M is (7 , -8)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

brainly.com/question/11203617

*LearnwithBrainly

8 0
3 years ago
Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
2 years ago
A farm stand sold 12 ears of corn for 4$ .the farm stand sold 180 ears of corn at the same rate
oksano4ka [1.4K]
To answer this first we set up a proportion and then solve. Lets do it:-

\frac{4}{12}= \frac{x}{80}

Cross Multiply:-

80 · 4 = 320

Divide:-

420 ÷ 12 = 60

So, 180 ears of corn are for $60.

Hope I helped ya!! 
4 0
3 years ago
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If you ate 1/5 of the desert served at<br> dinner, what percent of the food did you<br> eat?
VARVARA [1.3K]
20% of food is eater. 1 divided by 5 is 0.2. You move the decimal 2 unites which would be 20.
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3 years ago
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The ordered pairs, (1, 3), (2, 6), (3, 12) show the cost of theater tickets. For 1
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3 years ago
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