3) Why is a balance scale a good representation of an algebraic equation?

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

In every equation, both sides equal the same thing; it always ends with both sides adding up to be equal. In a balance scale, both sides are also equal.

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Sedaia [141]

Answer:

A. 1.9

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Step-by-step explanation:

Those images aren't good enough, I can't really get a good look. Basically, if there are nine little lines between each whole number, then each little line represents a tenth of a whole number, or 0.1. If there are four little lines between each whole number, then each little lines is 0.2. So, you just count up from the whole number below the value. For A, start at 1.0 and count up, each little line is 0.1 (if there are nine lines between each whole number), and figure out where A lies. Hope it helped, wish I could give a definite answer.

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$~~~~~~ \textit{Compound Interest Earned Amount \underline{in 15 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$400\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yeary, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases}$

$A=400\left(1+\frac{0.03}{1}\right)^{1\cdot 15}\implies A=400(1.03)^{15}\implies A\approx 623.19 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=400(1.03)^x~\hfill$

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