The quantity reported an <em>equivalent net</em> percentage change of 28 percent.
<h3>How to calculate the net change of a quantity in percentages</h3>
In this problem we must determine the <em>simple</em> percentage change equivalent to two <em>consecutive</em> percentual changes. The formula that describes the situation is:
1 + r/100 = (1 - 60/100) · (1 + 80/100)
1 + r/100 = 72/100
r/100 = - 28/100
r = - 28
The quantity reported an <em>equivalent net</em> percentage change of 28 percent.
<h3>Remark</h3>
The statement is incomplete. Complete form is presented below:
A quantity is changing. At first it descreased by 60 percent and it increased by 80 percent. What is net change of the quantity in percentage?
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Answer: 5
Step-by-step explanation:
Formula:
A(t)=P(1+(r/n))^)nt)
A(4)=2500(1+(0.04/4))^(4*4)
A(4) = 2500(1.01)^16
A(4) = 2500*1.1726
<span>A(4) = $2931.45</span>
Answer: x = 14.43
Step-by-step explanation:
The Pythagorean Theorem states the following:
a^2 + b^2 = c^2
Make one side of the triangle x
Make the second side of the triangle 2x
Now, you can plug the values into the equation, right?
x^2 + 2x^2 = 25^2 or 625
3x^2 = 625
Divide each side by 3 and you are left with:
x^2 = 208.33
Now, take the square root of 208.33
x = 14.43
That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side
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