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riadik2000 [5.3K]
3 years ago
5

If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0
<span>If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.
Let’s try to be able to know the answer:
=> Let’s have 10 as the value
Increase by 25%
=> 10 + 25%
=> 10 * .25 =  2.5
=> 10 + 2.5 = 12.5 the new value
Now, decrease this by 25%
=> 12.5 – 25%
=> 12.5 * .25 = 3.125
=> 12.5 – 3.125 = 9.375 or 9.4
Thus, the given statement is false.

</span>



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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\&#10;6y=180\\\\&#10;y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
3x + 2(4x - 4) = 3<br> What’s the answer?
Darya [45]
3x+2(4x-4)=3 - remove parentheses
3x+ 8x-8=3 - collect like terms
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3 0
2 years ago
What transformations change the graph of f(x) to the graph of g(x)?
Dennis_Churaev [7]

For this case we have that the main function is given by:

f (x) = - 7x ^ 2

We apply the following transformations:

Vertical expansions:

To graph y = a * f (x)

If a> 1, the graph of y = f (x) is expanded vertically by a factor a.

For a = 5 we have:

h (x) = 5 * f (x)\\h (x) = 5 * (- 7x ^ 2)\\h (x) = - 35x ^ 2

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 5 we have:

g (x) = h (x) + k\\g (x) = - 35x ^ 2 + 5

Answer:

The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.

3 0
3 years ago
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Find the future value if £7400 is<br> invested for 6 years at 12.8% p.a.
Free_Kalibri [48]

Answer:

5683.2 Euro's

Step-by-step explanation:

i=

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r=12.8*1/100

t=6yrs

I=P*R*T

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The answer is -6. because 12,10,8,6,4,2,0,-2,-4,-6.
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