Question

The world’s population is expected to grow at a rate of 1.3% per year until at least the year 2020. In 1994 the total population of the world was about 5,642,000,000 people. Use the formula Pn=P₀e^in to predict the world’s population Pn , n years after 1994, with P₀ equal to the population in 1994 and i equal to the expected growth rate. What is the world’s predicted population in the year 2020, rounded to the nearest million?

( the ₀ is supposed to be a little zero)

Answer 1

Therefore, the the world's predicted population in the year 2020 is 7,911×10^6 people.

Explanation:

Given:

P₀ = 5,642×10^6 people,

i = 1.3% = 0.013 per year,

n = 2020 - 1994 = 26 years,

We get:

Pn = P₀ e^(i.n)

. . .= 5,642×10^6×e^(0.013×26)

. . .= 7,911×10^6 people