Question

Immigration from legal sources (660,000 in 1998, and growing) and illegal sources (estimated to be about equal to legal immigration) minus emigration (usually less than 200,000 per year) adds about 1 million people per year to the U.S. population. The total population growth rate from all sources is thus about 0.9% per year (r=0.009) and immigration is thus responsible for about 1/3 of this growth. Given this rate, calculate the project U.S. population size in 2025 and 2050; start with a 2010 population suze of 300 million.

Answer 1

We can calculate the net population by using the following formula:

N_t = N₀ e^Rt

Here Nt is the net population after t time. No is the population at initial time. R is the reproductive rate.

Now, we know that starting population No? 300 x 10⁶

The immigration population is 1 million + 660,000

Total immigration population is 1660,000

Therefore the net starting population No? 300 x 10⁶ + 1660000

No? 301660000

R?0.9

t? 15 years upto 2025 and 40 years upto 2050

Now for 2025 the net population will be

N_t = 301660000 x e^Rt

Nt ?301660000 x e^{0.9 x 15}

Nt ?301660000 x e^13.5

Nt ?301660000 x (2.71)^13.5

Nt ?301660000 x 699979.67

Nt ?211155867252200

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