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Serhud [2]
3 years ago
7

Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 5.6% from 2014. What did Americans sp

end in 2014?
Mathematics
1 answer:
netineya [11]3 years ago
3 0

Answer: $1117.42

Step-by-step explanation:

Given: The amount predicted by Economist =$1180

Let x be the amount spent by Americans on Summer vacation in 2014.

Therefore,  According to the question, we have

5.6% of x+x=1180

\Rightarrow0.056\timesx+x=1180\\\Rightarrow x(0.056+1)=1180\\\Rightarrow\ x=\frac{1180}{1.056}=1117.42\approx

Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42

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Answer:

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Step-by-step explanation:

<u>Find the intersection of circles</u>

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<u>Subtract the equations to find:</u>

  • 2x = -3y ⇒ y = -2/3x

<u>By substitution find the points:</u>

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<u>Find midpoint between these two points:</u>

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<u>Find perpendicular bisector passing through this point:</u>

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<u>Find intersection of the lines, it is the center:</u>

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<u>Solving we get:</u>

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<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>

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