Assume that the population of the world in 2010 was 6. 9 billion and is growing at the rate of 1. 1% a year. What will the population of the world be in 2030?.

Respuesta :

The population of the world be in 2030 is 8.6 billion.

Given that,

a. = 6.9 billion

V= 1.1 % = 0. 011

a ) Let An represents The population on year after

2010 .

Population grow rate= 1.1%.

So ,

an = an-1 + an-1 ( 1.1 % )

an = an-1 + an-1 (0. 011 )

an = an- 1 ( 1.011 )

(B)

Given ,

ao = 6.9 billion

an = ( 1 .011 ) an- 1

an = (1 .011 ) an- 1 = (1 .011 ) (1 .011) an - 2 = ( 1 .011) (1 .011 ) an- 3

= ( 1.031 ) 3 ( 1 1018 ) an-4 .. . .

an = ( 1 1 012 ) " - ( 1 012 ) am-n

an = ( 1 .01 1 ) " ap

(ao = 6.9 )

an = 6 .9 ( 1 . 01 1 ) h

Now ,

an = 6 . 9 ( 1 . 0 1 1 ) 2

( means 20 year Later from 2010. )

at 2030

So , n = 20

2 20 = 6.9 ( 1 . 0 11 ) 20

a20 = 609 ( 1. 24 4 580 8428 )

a20 = 8.58 7607815 billion

or

azo = 8.6 billion

( rounded to + decimal place)

Thus, 8.6 billion people will live on Earth in 2030.

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