The population of Brazil in 1978 was estimated to be 710000000. If the birth rat

Question

The population of Brazil in 1978 was estimated to be 710000000. If the birth rate was 60 individuals per thousand people per year and the death rate was 2 individuals per thousand people per year, what was "r" (the intrinsic rate of natural increase) in the population? (Please give your answer to at least three decimal places)

For the Brazilian population described above, what was the annual rate of population growth? If you would like, you can enter you answer using scientific notation. For example, 2070000 would be entered as 2.07E06.

For the Brazilian population described above, how many people are expected to be in the population in 2010? If you would like, you can enter you answer using scientific notation. For example, 2070000 would be entered as 2.07E06.

Calculate how many years it would take for the population to be 4.7 times as large.

Explanation / Answer

r - birth rate - death rate

Given birth rate = 60/1000 = 42600000/710000000 = 0.06

Death rate= 2/1000 = 1420000/710000000= 0.002

r = 0.06-0.002 = 0.058.

Annual rate of population growth - Nt = No ert

No = 710000000; r - 0.058; t-1

Nt = 71000000 x e (0.058)

Nt = 752397646.954

Expected population in 2010 = t = 32 yrs

Nt = 71000000 x e (0.058 x 32)

Nt = 4542646133.508.

To be 4.5 times larger the population size should be 3195000000

It will take 25.95 years to reach the population size.

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