We appreciate your visit to 5 Uranium 238 the most common uranium isotope has a half life of 4 5 billion years After 10 000 years what percentage of the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the problem of determining how many mice will exist in 3 months if the population increases by 200% every 3 weeks, let's break it down step by step:
1. Initial Population:
- Start with 6 mice.
2. Growth Rate:
- An increase of 200% means the population triples (100% initial population + 200% increase = 300% of original, or 3 times the original number).
3. Time Frame:
- We need to calculate how many complete 3-week periods fit into 3 months.
- There are approximately 4 weeks in a month, so 3 months have about 12 weeks.
- In 12 weeks, there are [tex]\(12 \div 3 = 4\)[/tex] complete 3-week periods.
4. Exponential Growth:
- Each 3-week period, the population triples.
- So, after 4 periods, the population will be [tex]\(6 \times 3^4\)[/tex].
5. Calculate the Final Population:
- [tex]\(3^4 = 81\)[/tex]
- Therefore, the number of mice is [tex]\(6 \times 81 = 486\)[/tex].
So, after 3 months, there will be 486 mice.
1. Initial Population:
- Start with 6 mice.
2. Growth Rate:
- An increase of 200% means the population triples (100% initial population + 200% increase = 300% of original, or 3 times the original number).
3. Time Frame:
- We need to calculate how many complete 3-week periods fit into 3 months.
- There are approximately 4 weeks in a month, so 3 months have about 12 weeks.
- In 12 weeks, there are [tex]\(12 \div 3 = 4\)[/tex] complete 3-week periods.
4. Exponential Growth:
- Each 3-week period, the population triples.
- So, after 4 periods, the population will be [tex]\(6 \times 3^4\)[/tex].
5. Calculate the Final Population:
- [tex]\(3^4 = 81\)[/tex]
- Therefore, the number of mice is [tex]\(6 \times 81 = 486\)[/tex].
So, after 3 months, there will be 486 mice.
Thanks for taking the time to read 5 Uranium 238 the most common uranium isotope has a half life of 4 5 billion years After 10 000 years what percentage of the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada