Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 20 biological grown if 5,000,000 bacteria are placed in a petr…

Question

question 20 biological grown if 5,000,000 bacteria are placed in a petri dish and the bacteria have a growth rate of r (a percent expressed as a decimal) per hour, then 1 hour later the amount of bacteria will be 5,000,000 + 5,000,000r bacteria. factor the expression. if r = 19%, find the number of bacteria present after one hour. there will be bacteria present after one hour. question help: ebook message instructor add work

Explanation:

Step1: Factor the expression

We have the expression $5000000 + 5000000r$. Factor out the common factor $5000000$. So, $5000000+5000000r = 5000000(1 + r)$.

Step2: Calculate the number of bacteria when $r=0.19$

Substitute $r = 0.19$ into the factored - form $5000000(1 + r)$. Then $5000000\times(1 + 0.19)=5000000\times1.19 = 5950000$.

Answer:

Factorized expression: $5000000(1 + r)$
Number of bacteria after one hour: $5950000$