Jan creates a pattern

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luciaaviles3

11.10.2022

Mathematics

1 year

Step-by-step explanation:

The population can be modelled by the equation:

$P=P_0(1 + r)^{t}$

From the question, the initial population is

P_0=19000

The annual growth rate is r=0.04

We want to find how long it will take for that population to reach 43500.

We substitute the values to get:

$43500=19000(1 + 0.04)^{t}$

$435=190(1.04)^{t}$

$\frac{435}{190} = (1.04)^{t}$

$t = \frac{ \ln(2.289) }{1.04}$

t = 0.7965

To the nearest year, t= year

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