39 The Dominican Republic has 10.7 million people and a national population growth rate of 1.5 percent. Paraguay
has 6.8 million people and a national population growth rate of 1.5 percent. In how many years will each
country double in size?
47 years
37 years
27 years
57 years

The population of each country will become double in 47 years. hence option (A) is correct.

Given data:

The population of Dominican republic is, n = 10.7 million.

The growth rate of Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is, p' = 1.5 %.

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is given as,

Here,

is the final population and   is the initial population and for doubling the value in future, .

Solving as,

Thus, we can conclude the population of each country will become double in 47 years.

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The correct answer is - 47 years.

Explanation:

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is :

time (t) = log(N/N0)/r (time)

here,

N0 (initial population) = The population at time t = 0.

N (future population) = The population at time t.

r (rate) = The rate of population change as a function of t

by the formula

t = log (2/1)/0.015

t =  46.666 years or 47 years approx.

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