Question

The population of a town can be modeled using the formula P=20,000e^0.02t , where t is the number of years after 2012 and P is the town's population. Which of the following equations can be used to find the number of years after 2012 that the population will double to 40,000?

Answer 1

Answer:

t= ((ln*2)/(0.02)

Step-by-step explanation:

plug 40000 in for P and solve for t

40000=20000e^0.02t

-divide both sides by 20000: 2=e^0.02t

-in order to cancel out e, multiply both sides by the natural log (ln)

ln(2)=0.02t

-divide 0.02 on both sides to get t by its self

Answer: t = ((ln(2)/(0.02))