SOLUTION: The population N(t) (in millions) of a country t years after 1980 may be approximated by the formula N(t) = 213e^(0.0101t). When will the population be twice what it was in 198

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The population N(t) (in millions) of a country t years after 1980 may be approximated by the formula N(t) = 213e^(0.0101t). When will the population be twice what it was in 198      Log On


   



Question 1148042: The population N(t) (in millions) of a country t years after 1980 may be approximated by the formula N(t) = 213e^(0.0101t).
When will the population be twice what it was in 1980? (Round your answer to one decimal place.)

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
2=e%5E%280.0101t%29
ln%282%29=ln%28e%5E%280.0101t%29%29
ln%282%29=0.0101t
t=ln%282%29%2F0.0101
Use a calculator and do the rounding.
Add to 1980.