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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? Choose 1 answer: (A) 7.0 million (B) 7.2 million (C) 9.3 million (D) 13.0 million

In 20132013, the population of Nevada and North Carolina were each growing at a rate of approximately 3.3% 3.3 \% per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was 22.88 million and 99.88 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 20142014?\newlineChoose 11 answer:\newline(A) 77.00 million\newline(B) 77.22 million\newline(C) 99.33 million\newline(D) 13.0 \mathbf{1 3 . 0} million

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Q. In 20132013, the population of Nevada and North Carolina were each growing at a rate of approximately 3.3% 3.3 \% per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was 22.88 million and 99.88 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 20142014?\newlineChoose 11 answer:\newline(A) 77.00 million\newline(B) 77.22 million\newline(C) 99.33 million\newline(D) 13.0 \mathbf{1 3 . 0} million
  1. Calculate Nevada Population 20142014: Calculate the population of Nevada in 20142014.\newlineThe initial population of Nevada is 2.82.8 million. The growth rate is 3.3%3.3\% per year. To find the population after one year, we use the formula:\newlinePopulation after 11 year = Initial population ×\times (1+growth rate)(1 + \text{growth rate})\newlineFor Nevada, this is:\newlinePopulation of Nevada in 20142014 = 2.82.8 million ×\times (1+0.033)(1 + 0.033)
  2. Calculate Nevada Population 20142014: Perform the calculation for Nevada's population in 20142014.\newlinePopulation of Nevada in 20142014 = 2.82.8 million ×1.033\times 1.033\newlinePopulation of Nevada in 20142014 ≈2.8924\approx 2.8924 million
  3. Calculate North Carolina Population 20142014: Calculate the population of North Carolina in 20142014.\newlineThe initial population of North Carolina is 9.89.8 million. The growth rate is also 3.3%3.3\% per year. Using the same formula as in Step 11:\newlinePopulation of North Carolina in 20142014 = 9.89.8 million ×(1+0.033)\times (1 + 0.033)
  4. Calculate North Carolina Population 20142014: Perform the calculation for North Carolina's population in 20142014.\newlinePopulation of North Carolina in 20142014 = 9.89.8 million ×1.033\times 1.033\newlinePopulation of North Carolina in 20142014 ≈10.1234\approx 10.1234 million
  5. Calculate Population Difference: Calculate the difference in population between North Carolina and Nevada in 20142014.\newlineDifference in population = Population of North Carolina in 20142014 - Population of Nevada in 20142014\newlineDifference in population ≈10.1234\approx 10.1234 million - 2.89242.8924 million
  6. Calculate Population Difference: Perform the calculation for the difference in population.\newlineDifference in population ≈10.1234\approx 10.1234 million - 2.89242.8924 million\newlineDifference in population ≈7.231\approx 7.231 million

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