Question

a town has a population of 17000 and grows at 3% every year. what will be the population after 10 years, to the nearest whole number?

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P(t) = P_0(1+r)^t$, where $P_0=17000$, $r=0.03$, $t=10$.

Step2: Substitute values into formula

$P(10) = 17000(1+0.03)^{10}$

Step3: Calculate the growth factor

$(1.03)^{10} \approx 1.343916379$

Step4: Compute final population

$17000 \times 1.343916379 \approx 22846.57844$

Step5: Round to nearest whole number

Round $22846.57844$ to the nearest integer.

Answer:

22847