Can you help me by showing all the steps. Thank you. **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.

Answered: Image /qna-images/answer/e7e870a1-6251-4537-9082-dec877c199d0.jpg

Answered: Dr. Frankenstein is growing two types…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 40E

See similar textbooks

Similar questions

Epidemic Model In a population of 200,000 people, 40,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune cannot become infected again. Of the people who are infected, 5 will die each year and the other will recover. Of the people who have never been infected, 25 will become infected each year. How many people will be infected in 4 years?
The number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour there are 100 bacteria, and after 2 hours there are 200 bacteria. How many bacteria will there be after 3 hours?
Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)2. Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.
Is carbon dating? Why does it work? Give an example in which carbon dating would be useful.
The half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS