Question

question
a town has a population of 10000 and grows at 2.5% every year. what will be the population after 7 years, to the nearest whole number?
answer attempt 1 out of 2

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P(t) = P_0(1+r)^t$, where $P_0=10000$, $r=0.025$, $t=7$.

Step2: Substitute values into formula

$P(7) = 10000(1+0.025)^7$

Step3: Calculate growth factor

$1.025^7 \approx 1.18868575$

Step4: Compute final population

$10000 \times 1.18868575 = 11886.8575$

Step5: Round to nearest whole number

Round $11886.8575$ to the closest integer.

Answer:

11887