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The population of Smallville can be found by the equation Pt) = le", where P(t) is the
population at time t, r represents the rate of growth, and I is the initial population. If the town
grows at a rate of 17% per year, and there are 225 residents in 1950, what is the population
of the town in 1962?

Respuesta :

Answer:

The population of the town in the year 1962 will be 1730.

Step-by-step explanation:

The population of Smallville can be found by the equation [tex]P(t) = Ie^{rt}[/tex], where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.

Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be [tex]P(12) = 225 e^{0.17 \times 12} = 1730[/tex] (Approximate)

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