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xz_007 [3.2K]
4 years ago
6

You can buy an 8-pack of paper towels for $8.40 or a 12-pack for $12.36. Which is the better buy?

Mathematics
1 answer:
mixas84 [53]4 years ago
4 0

Answer: 12 pack

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Equation of circle with center (h,k) and radius r is

(x-h)^{2}+(y-k)^{2}=r^2\\\\With\,\, center\,\,(0,4)\,\, and\,\, r=3\\\\(x-0)^{2}+(y-4)^{2}=3^2\\\\x^2+(y-4)^{2}=9---(1)\\\\Equation\,\,of intersecting\,\,line\\y=0.5x+4---(2)

To find point of intersection:

From (2)

x=\frac{y-4}{0.5}=2(y-4)\\\\x^2=4(y-4)^{2}\\\\Put\,\,in\,\,(1)\\\\4(y-4)^{2}+(y-4)^{2}=9\\\\5(y-4)^{2}=9\\\\y-4=\frac{3}{\sqrt{5}}\\\\y=1.34+4\\\\y=5.34\\\\x=2(5.34-4)\\\\x=2(0.34)\\\\x=2.68

At intersection

x=2.68

y=5.34

This point of intersection can be checked in graph attached below

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