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Exponential Growth: The world population was 2010 about 7 billions; the yearly population growth is just below 2%. Assuming r=2% being stable:

How much time did elapse since the people were only 3.5 billion?

[Type the nummerical value rounded to full years ]

Respuesta :

Answer:

time is 24.66 years

Step-by-step explanation:

Given data

population A = 7 billion

rate = 2% = 0.02

population P = 3.5 billion

to find out

time

solution

we will apply here formula that is

A = P [tex]e^{rt}[/tex]

here put all value

7 = 3.5 [tex]e^{0.02t}[/tex]

take ln both side

ln (7/3.5) = ln [tex]e^{0.02t}[/tex]

0.02t = ln2

t = ln2 / 0.02

t = 24.66

so time is 24.66 years

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