Question 1007371

N(t) is the population in millions. 
So if N(t) = 1, then we have 1 million people. If N(t) = 2, then we have 2 million, etc. 
1.4 billion = 1400 million


So if N(t) is in millions, then N(t) = 1400 represents 1.4 billion people. 


This means that we need to solve N(t) = 1400 for t 


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{{{N(t) = 1400}}}


{{{766e^(0.0182t) = 1400}}}


{{{(766e^(0.0182t))/766 = 1400/766}}}


{{{e^(0.0182t) = 1400/766}}}


{{{Ln(e^(0.0182t)) = Ln(1400/766)}}}


{{{0.0182t*Ln(e) = Ln(1400/766)}}}


{{{0.0182t*1 = Ln(1400/766)}}}


{{{0.0182t = Ln(1400/766)}}}


{{{(1/0.0182)*0.0182t = (1/0.0182)*Ln(1400/766)}}}


{{{t = (1/0.0182)*Ln(1400/766)}}}


{{{t = 33.134359662789}}}


{{{t = 33.1}}}


The population will reach 1.4 billion people after 33.1 years. This will happen between the years 2018 and 2019
Note: 1985+33 = 2018