SOLUTION: The formula {{{A=36.1e^(0.0126t)}}} models the population of California. A, in million, t years after 2005. A. What was the population in California in 2005? B. When will the pop

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The formula {{{A=36.1e^(0.0126t)}}} models the population of California. A, in million, t years after 2005. A. What was the population in California in 2005? B. When will the pop      Log On


   

Question 758907: The formula A=36.1e%5E%280.0126t%29 models the population of California. A, in million, t years after 2005.
A. What was the population in California in 2005?
B. When will the population of California reach 40 million?
If you could explain I would appreciate it, thanks in advance!
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION: A. What was the population in California in 2005?

You just substitute the values and compute A.


QUESTION: B. When will the population of California reach 40 million?

Solve for t before doing anything else.
ln%28A%29=ln%2836.1e%5E%280.0126t%29%29
ln%28A%29=ln%2836.1%29%2Bln%28e%5E%280.0126t%29%29
ln%28A%29=ln%2836.1%29%2B0.0126t%2Aln%28e%29
ln%28A%29-ln%2836.1%29=0.0126t%2A1
highlight%28t=%28ln%28A%29-ln%2836.1%29%29%2F0.0126%29
Substitute the desired value for A and compute t.