bacteria colonies can increase by 45% every week. if you start with 200 bacteria microorganisms, how large…

bacteria colonies can increase by 45% every week. if you start with 200 bacteria microorganisms, how large would the colony be after 35 days?\nlastly, solve and round to the nearest whole number.\nfuture amount = 200(1 + 0.45)^5\nfuture amount = ? microorganisms

bacteria colonies can increase by 45% every week. if you start with 200 bacteria microorganisms, how large would the colony be after 35 days?\nlastly, solve and round to the nearest whole number.\nfuture amount = 200(1 + 0.45)^5\nfuture amount = ? microorganisms

Answer

Explanation:

Step1: Calculate the base value

$1 + 0.45=1.45$

Step2: Calculate the exponentiation

$1.45^{5}=1.45\times1.45\times1.45\times1.45\times1.45 = 6.4339296875$

Step3: Multiply by the initial amount

$200\times6.4339296875 = 1286.7859375$

Step4: Round to the nearest whole number

Rounding $1286.7859375$ gives $1287$

Answer:

$1287$