Question

the rabbit population in butler county, which is currently at 6,004 rabbits, is increasing by 8% each year. how many rabbits will there be in 10 years? if necessary, round your answer to the nearest whole number. rabbits

Explanation:

Step1: Identify growth formula

The exponential growth formula is $P(t) = P_0(1+r)^t$, where $P_0=6004$, $r=0.08$, $t=10$.

Step2: Calculate growth factor

$1+r = 1+0.08 = 1.08$

Step3: Compute $(1.08)^{10}$

$(1.08)^{10} \approx 2.158925$

Step4: Multiply by initial population

$P(10) = 6004 \times 2.158925 \approx 12962.19$

Step5: Round to nearest whole number

Round $12962.19$ to 12962.

Answer:

12962 rabbits