Double population calculus

Calculus
Tutor: None Selected Time limit: 1 Day

How long would it take for the population to double if it grows at the rate of 1.3%?
Oct 1st, 2015

Thank you for the opportunity to help you with your question!

Assuming the population grows exponentially

N = No exp(kt)--------(i)

No=initial population

N=population after time t

t=time interval

Double population means

N=2No ---------------(ii)

Using (ii) into (i)

2No=No exp(kt)

exp(kt)=2

taking natural log both sides

kt=ln(2)=0.69

t=0.69/k=0.69/0.013

t= 53 years.

It will take 53 years.




Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 1st, 2015

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Oct 1st, 2015
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