The population of a a city increases by 0.5% per year if this years population 201,000 what will next year’s population be to the nearest individual

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08-03-2022
Mathematics

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The population of a a city increases by 0.5% per year if this years population 201,000 what will next year’s population be to the nearest individual

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jdoe0001 jdoe0001 · Answer 1 · 2022-03-08T18:27:33-05:00

jdoe0001 jdoe0001

08-03-2022

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &201000\\ r=rate\to 0.5\%\to \frac{0.5}{100}\dotfill &0.005\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=201000(1 + 0.005)^{1}\implies A=201000(1.005)\implies A=202005[/tex]

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