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.

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

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

y -5 = (-1/4)(x + 8)

step-by-step explanation: