maryn42004
contestada

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?

Respuesta :

veronicaculs

Answer:

[tex]P_{1970}=98,41353[/tex]

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: [tex]P_{2010}=P_{1970}\times(1+0.005)^{40}[/tex]
  • If [tex]P_{2010}=120,1500[/tex], then, population in 1970 can be obtained by using the last expression as follow: [tex]P_{1970}=\frac{P_{2010}}{(1.005^{40})}[/tex]
  • Then [tex]P_{1970}=98,41353[/tex]

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