A city was incorporated in 2004 with a population of 45,000. It is expected that the population will increase at a rate of 2% per year. The population n years after 2004 is given by the sequence $P _ { n } = 45000 ( 1.02 ) ^ { n }$ Find the population in 2014
A) $48,709$
B) $49,684$
C) $54,855$
D) $59,376$
E) none of these

Question

Quizplus · Accepted Answer

The population in 2014, which is 10 years after 2004, is calculated using the given formula: $P_{10} = 45000(1.02)^{10}$. This calculation results in $P_{10} = 54,855$.

A City Was Incorporated in 2004 with a Population of 45,000