ahuchogufamily
ahuchogufamily ahuchogufamily
  • 26-02-2020
  • Mathematics
contestada

If a population grows at a rate of 2.5%
per year, about how long would it take for
the population to triple?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-02-2020

Answer:

  44.5 years

Step-by-step explanation:

Each year the population is multiplied by 1 +2.5% = 1.025. In n years, the population is multiplied by 1.025^n. We want to find n such that this multiplier is 3.

  3 = 1.025^n

  log(3) = n·log(1.025)

  n = log(3)/log(1.025) ≈ 44.5 . . . . years to triple the population

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