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kolbaska11 [484]
3 years ago
9

An item that originally cost $100 is decreased by 8%. The reduced price is then increased by 8%.

Mathematics
2 answers:
kolezko [41]3 years ago
7 0
First, find the decreased price by multiplying 100 by 8% and subtracting:

100 x 0.08 = 8

100-8 = 92 ( reduced price )

now multiply reduced price by 8% and add:

92 x 0.08 = 7.36

92 + 7.36 = $99.36

Margaret [11]3 years ago
5 0

Answer:

The resulting price is $99.36.

Step-by-step explanation:

Original cost of the item = $100

The decrease percentage is 8% or 0.08

So, the reduced price becomes :

100-(0.08\times100)=92 dollars

Now again the reduced price is increased by 8%.

So, multiplying the reduced price by 8% and adding it again we get;

92+(0.08\times92) =$99.36

So, the resulting price is $99.36.

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4 years ago
Triangle ABC has angle measures as shown.
sladkih [1.3K]
As with any triangle, the sum of angles is 180°.

(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
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(b)
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4 years ago
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5 0
3 years ago
Look at picture. Does anybody know the answer I’m lost?
masha68 [24]

Let x,y be the dimensions of the rectangle. We know the equations for both area and perimeter:

A=xy=36

P=2(x+y)=36 \iff x+y=18

So, we have  the following system:

\begin{cases}xy=36\\x+y=18\end{cases}

From the second equation, we can deduce

y=18-x

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Refactor as

x^2-18x+36=0

And solve with the usual quadratic formula to get

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If we chose the positive solution, we have

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If we choose the negative solution, we have

x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}

So, we're just swapping the role of x and y. The two dimensions of the rectangle are 9+3\sqrt{5} and 9-3\sqrt{5}

6 0
3 years ago
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