If the population of a country increases at a rate of 1.5% annually, and its current population is 430,000, how many years will it take for the population to triple?

Hence, it will take about 73 years  for the population to triple.

Step-by-step explanation:

For this case we have an exponential function P(t) which represents the population at time 't' ; which is given as:

i.e. the equation is represented of the form:

 Where,

 A: initial amount ( Here we have A=430000)

 b: growth rate  (Here we have b=1.015)

 t: time in years.

As the population has to triple over the time.

 Hence, Substituting values we have:

⇒  

Taking logarithmic function on both side we have:

( Since )

⇒  

Hence, It will take for the population to triple about:

 t = 73 years

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step-by-step explanation:

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