QuestionThe formula $A=19.6 e^{0.0139 t}$ models the population of a US state, A , in millions, t years after 2000. a. What was the population of the state in 2000 ? b. When will the population of the state reach 25.9 million? a. In 2000, the population of the state was $\square$ million.

Studdy Solution
Solve for $t$ by dividing both sides by 0.0139:
$$t = \frac{\ln\left(\frac{25.9}{19.6}\right)}{0.0139}$$
The population of the state in 2000 was $\boxed{19.6}$ million.
To find when the population will reach 25.9 million, calculate $t$ using the equation from STEP_6.