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The population of one city was about 420,000 in 2010. The population of the city is projected to be about 260,000 in 2020. Find the percent decrease.

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The percent decrease formula is:


\text{ Percent decrease }=\frac{\text{ Final - Initial}}{\text{Initial}}\cdot100

So, in this case, we have:


\begin{gathered} \text{ Percent decrease }=(420,000-260,000)/(420,000)\cdot100 \\ \text{ Percent decrease }\approx38\text{\% }\Rightarrow\text{The symbol }\approx\text{ is read 'approximately'} \end{gathered}

Therefore, the percent decrease is approximately 38%

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