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miv72 [106K]
3 years ago
9

from 1970 to 2010 a towns population grew to 120,1500 the population grew at a rate of about 0.5% each year. What was the town's

population in 1970?
Mathematics
1 answer:
sdas [7]3 years ago
8 0

Answer:

P_{1970}=98,41353

Step-by-step explanation:

  • If the rate of growth is about 0.5% each year, then the population in 2010 can be obtained following the expression: P_{2010}=P_{1970}\times(1+0.005)^{40}
  • If P_{2010}=120,1500, then, population in 1970 can be obtained by using the last expression as follow: P_{1970}=\frac{P_{2010}}{(1.005^{40})}
  • Then P_{1970}=98,41353
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