The formula a = 118e0.024t models the population of a particular city, in thousands, t years after 1998. when will the population of the city reach 140 thousand? show your work.

Given that the population has been modeled by the formula:

a=118e^ (0.024t), the time taken for the population to hit 140k will be given by:

140000=118e^ (0.024t)

solving for t we shall have:

140000/118=e^ (0.024t)

thus;

0.024t=ln (140000/118)

t=1/0.024*ln (140000/118)

t=295

thus the time the population will be 140000 will be:

1998+295

=2293