The population of a certain country can be modeled by the equation , where P(t)=40e^0.02t is the population in millions and t is the number of years since 1900. When will the population be 100 million, 200 million, and 400 million? What do you notice about these time periods?

i dont like story problems :s they make my head hurt.

Question

The population of a certain country can be modeled by the equation , where P(t)=40e^0.02t is the population in millions and t is the number of years since 1900.  When will the population be 100 million, 200 million, and 400 million?  What do you notice about these time periods?

i dont like story problems :s they make my head hurt.

anonymous · Answer

me neither

anonymous · Answer

$$40e^{.02t}=100$$
$$e^{.02t}=2.5$$
$$.02t=\ln(2.5)$$
$$t=\frac{\ln(2.5)}{.02}$$ others are solved in an identical fashion