Acountry's population in 1990 was 59 million. in 2002 it was 63 million. estimate the population in 2018 using exponential growth formula. round your answer to the nearest million

The formula for exponential growth is P =Ae^kt

P = new population
A = starting population
k is a constant
 and t is number of years.
 e is a logarithm function

 using the 2 known years
 we know 2002-1990 = 12 years
 the population in 2002 was 63 million, population in 1990 was 59 million

 so using the above equation we can solve for k:
63 = 59e^k12
divide both sides by 59:
63/59 = e^k12
1.06779 = e^k12
find logorithm of left side to get rid of the e on the right side:

ln 1.06779 = k12

0.06559 = k12
 divide both sides by 12 for k:
k = 0.06559 / 12 = 0.00546644
 now we want to find population in 2018

2018 - 1990 = 28 years 
 so now t = 28  using the same formula we have:

P = 59e^(0.00546644*28)

P = 68.758 million
 rounded to nearest million = 69 million people

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