liongirl24 liongirl24
  • 06-04-2017
  • Mathematics
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A population of 120,000 grows 4% per year after 16 years. How much will the population be after 16 years?

A population of 120000 grows 4 per year after 16 years How much will the population be after 16 years class=

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Sxerks Sxerks
  • 06-04-2017
Let's consider the scenario after each year:

After the zeroth year, the population is: 120 000(1 + 0.04)⁰
After the first year, the population is: 120 000(1 + 0.04)¹
After the second year, the population is: 120 000(1 + 0.04)²
...

Thus, we can find the general rule:
After the nth year, the population is: 120 000(1 + 0.04)ⁿ
And after the 16th year, the population is 120 000(1 + 0.04)¹⁶ = 224 758 (rounded to nearest whole number)
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