Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Dr. Frankenstein's Super-Bacteria Growth Rates**

Dr. Frankenstein is growing two types of super-bacteria in his secret lab: A and B. Here are the details about their population growth:

1. **Bacteria A**:
   - Growth Rate: The population grows by 10% every hour.
   - Initial Count: At midnight, there are 5000 bacteria of type A.

2. **Bacteria B**:
   - Growth Rate: The population triples every 5 hours.
   - Initial Count: At 1:00 AM, there are 1000 bacteria of type B.

**Question**:
When will Dr. Frankenstein have twice as many bacteria B as bacteria A? Provide your answer rounded to the nearest minute and as a time of day.

**Hint**: You may need to use logarithmic and exponential functions to solve this problem accurately.
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Transcribed Image Text:**Dr. Frankenstein's Super-Bacteria Growth Rates** Dr. Frankenstein is growing two types of super-bacteria in his secret lab: A and B. Here are the details about their population growth: 1. **Bacteria A**: - Growth Rate: The population grows by 10% every hour. - Initial Count: At midnight, there are 5000 bacteria of type A. 2. **Bacteria B**: - Growth Rate: The population triples every 5 hours. - Initial Count: At 1:00 AM, there are 1000 bacteria of type B. **Question**: When will Dr. Frankenstein have twice as many bacteria B as bacteria A? Provide your answer rounded to the nearest minute and as a time of day. **Hint**: You may need to use logarithmic and exponential functions to solve this problem accurately.
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