It is projected that t years from now, the population of a certain country will be $P ( t ) = 30 e ^ { 0.08 t }$ million. What will be the population in 40 years? Round your answer to two decimal places, if necessary.
A) 735.98 million
B) 330.7 million
C) 711.44 million
D) 760.51 million

Question

Quizplus · Accepted Answer

To find the population in 40 years, substitute $t = 40$ into the given equation: $P(40) = 30e^{0.08 \times 40}$. Calculating this gives $P(40) = 30e^{3.2}$, which approximately equals 735.98 million.

It Is Projected That T Years from Now, the Population P(t)=30e0.08tP ( t ) = 30 e ^ { 0.08 t }P(t)=30e0.08t

It Is Projected That T Years from Now, the Population $P ( t ) = 30 e ^ { 0.08 t }$