Ask Question
8 March, 06:04

After the closing of the mill, the town of Sawyerville experienced a decline in its population.

The relationship between the elapsed time, t, in years, since the closing of the mill, and the town's

population, P (t), is modeled by the following function.

P (t) = 12,000 - 2^-t/15

In how many years will Sawyerville's population be 9000?

Round your answer, if necessary, to the nearest hundredth.

+2
Answers (1)
  1. 8 March, 06:32
    0
    Step-by-step explanation:

    P (t) = 12,000 (2) ^ (-t/15)

    9,000 = 12,000 (2) ^ (-t/15)

    0.75 = 2^ (-t/15)

    ln (0.75) = ln (2^ (-t/15))

    ln (0.75) = (-t/15) ln (2)

    -15 ln (0.75) / ln (2) = t

    t = 6.23
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “After the closing of the mill, the town of Sawyerville experienced a decline in its population. The relationship between the elapsed time, ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers