A certain culture of the bacterium Streptococcus A initially has 10 bacteria and is observed to double every 1.5 hours.
(a) Find an exponential model
(b) Estimate the number of bacteria after 34 hours. (Round your answer to the nearest whole number.)
(c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.)
The fox population in a certain region has a relative growth rate of 8% per year. It is estimated that the population in 2013 was 16,000.
(a) Find a function
(b) Use the function from part (a) to estimate the fox population in the year 2019. (Round your answer to the nearest whole number.)
(c) After how many years will the fox population reach 24,000? (Round your answer to one decimal place.)
The population of a country has a relative growth rate of 2% per year. The government is trying to reduce the growth rate to 1%. The population in 2011 was approximately 120 million. Find the projected population for the year 2040 for the following conditions. (Round your answers to the nearest whole number.)
(a) The relative growth rate remains at 2% per year.
(b) The relative growth rate is reduced to 1% per year.
The count in a culture of bacteria was 200 after 2 hours and 12,800 after 6 hours.
(a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.)
(b) What was the initial size of the culture? (Round your answer to the nearest whole number.)
(c) Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form n0ert.)
Round your n0 value to the nearest whole number. Round your r value to two decimal places.)
(d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.)
e) After how many hours will the number of bacteria reach 25,000? (Round your answer to two decimal places.)
The half-life of radium-226 is 1600 years. Suppose we have a 24-mg sample.
(a) Find a function
m(t) = m02-t/h
that models the mass remaining after t years.
(b) Find a function
(c) How much of the sample will remain after 3500 years? (Round your answer to one decimal place.)
(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)
Why Work with Us
Top Quality and Well-Researched Papers
We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.
Professional and Experienced Academic Writers
We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.
Free Unlimited Revisions
If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.
Prompt Delivery and 100% Money-Back-Guarantee
All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.
Original & Confidential
We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.
24/7 Customer Support
Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.
No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.
Admission Essays & Business Writing Help
An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.
Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.
If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.