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Sagot :
The population of the town has been growing for about 2 years Given the equation that represents the situation expressed as:
[tex]20,000e^{0.15t}=28000[/tex]
where t is the time taken.
To get the value of t;
[tex]20,000e^{0.15t}=28000\\e^{0.15t} = \frac{28000}{20000} \\e^{0.15t} = 1.4[/tex]
Take the ln of both sides
[tex]ln e^{0.15t}=ln1.4\\0.15t=0.3365\\t = \frac{0.3365}{0.15}\\t= 2.24years[/tex]
This shows that the population of the town has been growing for about 2 years
Learn more on exponential functions here: https://brainly.com/question/19742435
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