Solve the problem.
-The enrollment at one Midwestern college is approximated by the formula $P = 3000 ( 1.08 ) ^ { t }$ where $t$ is the number of years after 2000 . What is the first year in which you would expect enrollment to surpass 3,700 ?
A) 2,004
B) 2,002
C) 2,001
D) 2,003

Question

Quizplus · Accepted Answer

To find when enrollment surpasses 3,700, solve $3000(1.08)^t > 3700$. Solving gives $t \approx 3.16$. Since $t$ is the number of years after 2000, the first full year is 2003.

Solve the Problem P=3000(1.08)tP = 3000 ( 1.08 ) ^ { t }P=3000(1.08)t

Solve the Problem $P = 3000 ( 1.08 ) ^ { t }$