ashleygalaviz16
Answered

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The population of a town is 18,000.
It decreases at a rate of 8% per
year. In about how many years
will the population be fewer
than 11,000? Please describe steps with details.

Sagot :

jeremiahmandukic
If the town decreases at a rate of 8% per year, it would take 6 years.

100% - 8% = 92%

We would multiply each population per year by 0.92 as the town is decreasing in population by 8% per year

1st year: 18,000 • .92 = 16,560

2nd year: 16,560 • .92 = 15,235.2

3rd year: 15,235.2 • .92 = 14,016.384

4th year: 14,016.384 • .92 = 12,894.72

5th year: 12,894.72 • .92 = 11,863.1424

6th year: 11,863.1424 • .92 = 10,914.091

10,914 is less than 11,000 meaning it would take 6 years for the population to be fewer than 11,000 if the town is decreasing in population at a rate of 8% per year

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