Solve the problem.
-$$P ( t ) = \frac { 360 } { 1 + 35 e ^ { - 0.181 t } }$$ territory after t years. What will the population be in 30 years?
A)360
B)2347
C)319
D)312

Question

Quizplus · Accepted Answer

To find the population in 30 years, substitute t = 30 into the equation:  $$P(30) = \frac{360}{1 + 35e^{-0.181 \times 30}}$$  Calculate the exponent: $-0.181 \times 30 = -5.43$.  Then, calculate $e^{-5.43}$ and substitute back into the equation to find $P(30)$.  The result is approximately 312.

Solve the Problem P(t)=3601+35e−0.181tP ( t ) = \frac { 360 } { 1 + 35 e ^ { - 0.181 t } }P(t)=1+35e−0.181t360​

Solve the Problem $P ( t ) = \frac { 360 } { 1 + 35 e ^ { - 0.181 t } }$