Math, asked by keshavgarg442, 8 months ago


The annual birth and death rates per 1,000 are 39.4 and 19.4 respectively. The number of
years in which the population will be doubled assuming there is no immigration or emigratior
is
(a) 35 years.
(b) 30 years.
(c) 25 years
(d) none of these​

Answers

Answered by pathakshreya456
16

Answer:

35 Years

explanation:

The annual birth and death rates per 1,000 are 39.4 and 19.4 respectively. The number of years in which the population will be doubled assuming there is no immigration or emigration is

Let say population = 1000P

Birth - 39.4P

Death = 19.4P

Increase = 39.4P - 19.4P = 20P

Rate of increase = 20P/1000P  * 100  = 2%

Double population = 2000P

2000P = 1000P ( 1 + 2/100)ⁿ

=> 2 = (1.02)ⁿ

=> log2  = nlog(1.02)

=> 0.301 = n(0.0086)

=> n = 3010/86

=> n = 35

in 35 Years Population will be doubled.

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