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kondor19780726 [428]
3 years ago
9

The formula a = 118e0.024t models the population of a particular city, in thousands, t years after 1998. when will the populatio

n of the city reach 140 thousand? show your work.
Mathematics
1 answer:
andriy [413]3 years ago
6 0
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
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