a countrys population in 1992 was 50 million. in 2002 it was 53 million. estimatethe population in 2010 using the exponential growth formula. round to the nearest million??
Exponential growth formula: A = Pert
A = final amount = 53 P = beginning amount = 50 r = rate (as a decimal) r = time = 10
---> 53 = 50·er·10
---> 53 = 50·e10r
---> 1.06 = e10r
---> ln(1.06) = ln(e10r)
---> ln(1.06) = 10r
---> ln(1.06) / 10 = r
---> r = 0.00583 ---> r = 0.583%
Population in 2010 (using base year as 1992): r = 0.00583 and t = 18
---> A = 50·e0.00583 · 18
---> A = 50·e0.10494
---> A = 55.5 million
Exponential growth formula: A = Pert
A = final amount = 53 P = beginning amount = 50 r = rate (as a decimal) r = time = 10
---> 53 = 50·er·10
---> 53 = 50·e10r
---> 1.06 = e10r
---> ln(1.06) = ln(e10r)
---> ln(1.06) = 10r
---> ln(1.06) / 10 = r
---> r = 0.00583 ---> r = 0.583%
Population in 2010 (using base year as 1992): r = 0.00583 and t = 18
---> A = 50·e0.00583 · 18
---> A = 50·e0.10494
---> A = 55.5 million