SOLUTION: The population of a certain country grows exponentially so that its doubling time is 42 years. If the present population is 12.5 million, what will the population be in 126 years?
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: The population of a certain country grows exponentially so that its doubling time is 42 years. If the present population is 12.5 million, what will the population be in 126 years?
Log On
Question 439905: The population of a certain country grows exponentially so that its doubling time is 42 years. If the present population is 12.5 million, what will the population be in 126 years? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The population of a certain country grows exponentially so that its doubling time is 42 years. If the present population is 12.5 million, what will the population be in 126 years?
-------------------------
A(t) = Ao*b^t
------
2Ao = Ao*b^42
2 = b^42
b = 2^(1/42)
----
A(0) = 12.5
---
A(126) = 12.5*2^(126/42)
---
A(126) = 12.5*2^3
---
A(126) = 12.5*8 = 100 million
=================================
Cheers,
Stan H.
===========
(