Question

It is estimated that the world’s population is growing at a rate of 1.14% per year.
On January 1st 2014 the population was 7.23 billion.
Find the year when the population is expected to reach 10 billion

Answer 1

Answer:

In year 2016 and 1/2 year

Step-by-step explanation:

reach to 10 million population.

Answer 2

Answer:

The answer is 2042, or 2043, depending on if you'd like to round.

Step-by-step explanation:

This is exponential growth, so you have to use the compound interest formula.

A=P(1+r/100)^n

10 billion(10*10^9 in the calculator)=7.23*10^9(1+1.14/100)^n

1*10^10/7.23*10^9=7.23*10^9/7.23*10^9(1+1.14/100)^n

1.3831=(1+1.14/100)^n

1.3831=1.0114^n

Log1.3831=Log1.0114^n

Log1.3831/Log1.0114=Log1.0114^n/Log1.0114

n=28.6

2014+28.6=2042.6

So, the Answer is 2042(since that's the year that the world's population would reach 10 billion), but I'm not sure if you round since it's 0.6. To stay safe, stick with 2042.

Hope this helped!