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The population of a small town is modeled by the
equation P= 1650e^0.5t where t is measured in years.
In approximately how many years will the town's
population reach 20,000?

Respuesta :

PhysicsGirl
20000=1650e^(.5t)
12.121212=e^(.5t)
Ln(12.121212) = ln(e^(.5t))
2.49495 = .5t
4.98 = t
Rounding it will take approximately 5 years for the pop. to reach 20,000

The number of years in which the town's  population reach 20,000 is 5 years.

Given that,

  • The population of a small town is modeled by the  equation [tex]P= 1650e^0.5t[/tex] where t is measured in years.

Based on the above information, the calculation is as follows:

[tex]20000=1650e^{(.5t)}\\\\12.121212=e^{(.5t)}\\\\Ln(12.121212) = ln(e^{(.5t)})[/tex]

2.49495 = .5t

4.98 = t

t = 5

Therefore we can conclude that the number of years in which the town's  population reach 20,000 is 5 years.

Learn more: brainly.com/question/2977909