Thursday

August 28, 2014

August 28, 2014

Posted by **Samantha** on Friday, September 10, 2010 at 3:51am.

Question:

Population growth. The exponential growth rate of the population of United Arab Emirates is 4.4% per year (one of the highest in the world). What is the doubling time?

Sources: Based on data from U.S. Census Bureau; International Data Base 2007

My Answer: I changed 4.4% to .044^2. My result was .001936 or round to 0.002%.

Is this correct? Should I be using the P(t) = P0e^kt? If so how should I go by doing so? Thanks for your help in advance!

- Intermediate Algebra -
**Dr Russ**, Friday, September 10, 2010 at 5:06amIf the population after year 1 is

P(1)=P(0)x1.044

at the end of year 2 it is

P(2)=P(1)x1.044 = P(0)x1.044^2

at the end of year t it is

P(t)=P(0)x(1.044)^t

to find when population has doubled (i.e. is 2P(0))

2P(0)= P(0)x(1.044)^t

and solve for t

2 = (1.044)^t

log(2)=log(1.044)^t)= txlog(1.044)

thus t=log(2)/log(1.044)

and I got 16.1 years

**Related Questions**

College Algebra - Hello, I have been trying to do my math homework for a few ...

Chemistry revision - all these questions I got wrong on my homework today ...I'm...

Algebra - Hello. I am trying to solve quadratic functions but I'm having ...

Chemistry - This is a question I am presently doing right now which I found in ...

Chemistry - This is a question I am presently doing right now which I found in ...

Algebra - Can someone please tell me if my work and solution looks correct. I am...

Algebra - please help me solve my homework with all the work involved. i have ...

work (physics) - a 25 kg object is accelerating from rest to a distance of 6 m ...

intermediate algebra - Essay.Show all work. A gardener wants to create a ...

social studies - i need help with my school election which is on tuesday because...