A population grows according to the equation P(t) = 6000 - 5500e^-.159t for t is greater than or equal to 0, t in years. This population will approach a limiting value as time goes on. During which year will the population reach half this limiting value?

Question

A population grows according to the equation P(t) = 6000 - 5500e^-.159t for t is greater than or equal to 0, t in years.  This population will approach a limiting value as time goes on.  During which year will the population reach half this limiting value?

anonymous · Answer

first you have to figure out what the limiting value is,
then fill in half of it in the equation