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In a particular research database, the number of indexed genetics articles had increased by an average of 307 articles per year for several years. At the end of that time period, there were 6000 genetics articles indexed. Since then, the number of articles has increased by 
8% annually. To the nearest whole number, how many more genetics articles are there after 2 years of this increase than if the growth rate had not changed?

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In a particular research database, the number of indexed genetics articles had increased by an average of 307307 articles per year for several years. At the end of that time period, there were 60006000 genetics articles indexed. Since then, the number of articles has increased by 8%8\% annually. To the nearest whole number, how many more genetics articles are there after 22 years of this increase than if the growth rate had not changed?\newline

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Q. In a particular research database, the number of indexed genetics articles had increased by an average of 307307 articles per year for several years. At the end of that time period, there were 60006000 genetics articles indexed. Since then, the number of articles has increased by 8%8\% annually. To the nearest whole number, how many more genetics articles are there after 22 years of this increase than if the growth rate had not changed?\newline
  1. Calculate Initial Growth Rate: Calculate the number of articles after 22 years with the original growth rate of 307307 articles per year.\newlineNumber of articles after 22 years = Initial number of articles + (Growth per year ×\times Number of years)\newline= 60006000 articles + (307307 articles/year ×\times 22 years)\newline= 60006000 articles + 614614 articles\newline= 30730700 articles
  2. Calculate New Growth Rate: Calculate the number of articles after 22 years with the new 88% annual growth rate.\newlineFirst, calculate the number of articles after the first year.\newlineNumber of articles after 11 year = Initial number of articles ×\times (11 + Growth rate)\newline= 60006000 articles ×\times (1+0.08)(1 + 0.08)\newline= 60006000 articles ×1.08\times 1.08\newline= 64806480 articles
  3. Calculate Growth Rate After 22 Years: Calculate the number of articles after the second year with the 88\% growth rate.\newlineNumber of articles after 22 years = Number of articles after 11 year * 1+Growth rate1 + \text{Growth rate}\newline= 64806480 articles * 1+0.081 + 0.08\newline= 64806480 articles * 1.081.08\newline= 6998.46998.4 articles\newlineSince we need the nearest whole number, we round 6998.46998.4 to 69986998 articles.
  4. Find Difference in Growth Rates: Find the difference in the number of articles after 22 years between the two growth rates.\newlineDifference = Number of articles after 22 years with 8%8\% growth - Number of articles after 22 years with 307307 growth per year\newline= 69986998 articles - 66146614 articles\newline= 384384 articles