The population of a city (in millions) at time t (in years) is P (t) = 2.6 e 0.005t, where t=0 is the year 2000. When will the population double from its size at t=0?

year 2139

Step-by-step explanation:

The population will double when the factor e^ (.005t) is 2.

e^ (.005t) = 2

.005t = ln (2)

t = ln (2) / 0.005 = 138.6

The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.