Answer :

Answer:

21 years

Step-by-step explanation:

Use the equation [tex]2000(1.02)^{x}[/tex] [tex]= 3000[/tex] where x is the number of years passed.

Once you've solved for it, x=20.475319. Although it's closer to 20 years to the nearest year, it's 21 years since you'll wont reach 3000 in year 20.

The time taken by the population to reach 3000 from 2000 will be 21 years.at the rate of 2% increase per year.

What is population?

Population is the number of the people living in a particular area town and village.

We will Use the equation

[tex]\rm =P\times (Increase \ in \ Population)^2=Final\ Population[/tex]

[tex]=2000\times (1.02)^x=3000[/tex]

[tex]x=21\ years[/tex]

where x is the number of years passed.

Once you've solved for it, x=20.475319. Although it's closer to 20 years to the nearest year, it's 21 years since you'll wont reach 3000 in year 20.

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