a virus is spreading around kingwood. at the moment, 368 people are infected. if the virus is spreading at a…
a virus is spreading around kingwood. at the moment, 368 people are infected. if the virus is spreading at a rate of 6% each day, how many people in all will have caught the virus in 5 days? if necessary, round your answer to the nearest whole number. people
Answer
Explanation:
Step1: Identify the formula
We use the compound - growth formula $A = P(1 + r)^t$, where $P$ is the initial amount, $r$ is the growth rate as a decimal, and $t$ is the time. Here, $P = 368$, $r=0.06$, and $t = 5$.
Step2: Substitute the values
$A=368\times(1 + 0.06)^5$. First, calculate $(1 + 0.06)^5$. $(1 + 0.06)^5=1.06^5$. $1.06^5=1.06\times1.06\times1.06\times1.06\times1.06\approx1.3382255776$. Then, multiply by $P$. $A = 368\times1.3382255776$. $A\approx492.467$.
Step3: Round the result
Rounding $492.467$ to the nearest whole number gives $492$.
Answer:
492