In $2013$ , the population of Nevada and North Carolina were each growing at a rate of approximately $3.3\%$ per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was $2.8$ million and $9.8$ million people, respectively. If the population growth rates in each of these states remained the same, approximately how many more people were living in North Carolina compared to Nevada in $2014$ ?

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Percent of change: word problems

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Q. In

2013

, the population of Nevada and North Carolina were each growing at a rate of approximately

3.3\%

per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was

2.8

million and

9.8

million people, respectively. If the population growth rates in each of these states remained the same, approximately how many more people were living in North Carolina compared to Nevada in

2014

Calculate Nevada Population $2014$ : Calculate the population of Nevada in $2014$ . $\newline$ Population of Nevada in $2013$ : $2.8$ million $\newline$ Growth rate: $3.3\%$ $\newline$ Population of Nevada in $2014$ = $2.8$ million + ( $2.8$ million $\times \frac{3.3}{100}$ )
Calculate Nevada Population $2014$ : Perform the calculation for Nevada's $2014$ population. $\newline$ Population of Nevada in $2014$ = $2.8$ million + ( $2.8$ million $\times 0.033$ ) $\newline$ Population of Nevada in $2014$ = $2.8$ million + $0.0924$ million $\newline$ Population of Nevada in $2014$ = $2.8924$ million
Calculate North Carolina Population $2014$ : Calculate the population of North Carolina in $2014$ . $\newline$ Population of North Carolina in $2013$ : $9.8$ million $\newline$ Growth rate: $3.3\%$ $\newline$ Population of North Carolina in $2014$ = $9.8$ million + ( $9.8$ million $\times$ $3.3/100$ )
Calculate North Carolina Population $2014$ : Perform the calculation for North Carolina's $2014$ population. $\newline$ Population of North Carolina in $2014$ = $9.8$ million + ( $9.8$ million $\times 0.033$ ) $\newline$ Population of North Carolina in $2014$ = $9.8$ million + $0.3234$ million $\newline$ Population of North Carolina in $2014$ = $10.1234$ million
Calculate Population Difference: Calculate the difference in population between North Carolina and Nevada in $2014$ . $\newline$ Difference = Population of North Carolina in $2014$ - Population of Nevada in $2014$ $\newline$ Difference = $10.1234$ million - $2.8924$ million
Calculate Population Difference: Perform the calculation for the difference in population. $\newline$ Difference = $10.1234$ million - $2.8924$ million $\newline$ Difference = $7.231$ million