Question #fdde5

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Question #fdde5

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Answer 1 · 2017-03-18T21:27:02

$47.49 rounded to 2 decimal places

Explanation:

$Preamble$ $color(blue)("Preamble")$

The % symbol is a bit like a unit of measurement but one that is worth $\frac{1}{100}$ $1/100$

So $6 % \to 6 \times % \to 6 \times \frac{1}{100} = \frac{6}{100}$ $6% ->6xx%->6xx1/100=6/100$
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$Answering the question$ $color(blue)("Answering the question")$

This is a shortcut approach. However the explanation makes it longer than doing the actual calculation.

Multiply by 1 and you get the original value. So multiply by $(1 + 6 %)$ $(1+6%)$ and you get the increased value.

$$ 44.80 (1 + 6 %) \to $ 44.80 (\frac{100}{100} + \frac{6}{100}) \to $ 44.80 (\frac{106}{100})$ $$44.80(1+6%) ->$44.80(100/100+6/100)->$44.80(106/100)$

$= $ 47.488$ $=$47.488$ as an exact value

This $47.49 rounded to 2 decimal places
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You should go strait to: $$ 44.80 (\frac{106}{100})$ $$44.80(106/100)$

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Question #fdde5

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