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9966 [12]
3 years ago
11

Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia sav

ed $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.
Mathematics
2 answers:
dybincka [34]3 years ago
8 0

Answer:

D

Step-by-step explanation:

If 25%=$55.15, and the rest of the 25%'s are in one box in the diagram, then that means it was either 25% off or 75% and the original price was $55.15×4=$220.60. The only option that is available that meets those standards is D: <u>Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60</u>.

Hope this helps! (P.S. I got it right on my Edgenutiy, [spelled wrong on purpose] test)

djyliett [7]3 years ago
6 0

Answer:

Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60

Step-by-step explanation:

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\bf ~~~~~~~~\textit{binomial theorem expansion} \\\\ \qquad \qquad (1+ax)^n\implies \begin{array}{llll} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(1)^n(ax)^0\\\\ 2&+\frac{(1)(n)}{1}\to n&(1)^{n-1}(ax)^1\\\\ 3&+\frac{n\cdot (n-1)}{2}&(1)^{n-2}(ax)^2 \end{array}

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but but but, we know what "n" equals to, recall above, so let's do some quick substitution

\bf a^2n^2-a^2n=480\qquad \boxed{n=\cfrac{24}{a}}\qquad a^2\left( \cfrac{24}{a} \right)^2-a^2\left( \cfrac{24}{a} \right)=480 \\\\\\ a^2\cdot \cfrac{24^2}{a^2}-24a=480\implies 24^2-24a=480\implies 576-24a=480 \\\\\\ -24a=-96\implies a=\cfrac{-96}{-24}\implies \blacktriangleright a = 4\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ n=\cfrac{24}{a}\implies n=\cfrac{24}{4}\implies \blacktriangleright n=6 \blacktriangleleft

7 0
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