College Algebra with Modeling & Visualization, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
6th Edition
ISBN: 9780134763842
Author: Gary K. Rockswold
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter D, Problem 42E
(Refer to Example 6.) Write a formula for f(t) that models the situation and then answer the question.
40. A sample of 5 million insects decreases in number by
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that you are observing the behavior of cell duplication in a lab. In this experiment, you started with one cell and the cells doubled every minute. That is, the population cell is increasing at a constant rate of 100%.
1) If the container is full in ONE hour, when is the container half full?
2) Write an equation to determine the number (population) of cells after one hour. Use P(t)=
The cost, in millions of dollars, of a 30-second television ad during an annual television event in the years 2000–2010 can be approximated by
C(t) = 0.14t + 1.7 million dollars (0 ≤ t ≤ 10).
(t = 0 represents 2000.) What was the average cost of an ad in the event during the given period? HINT [See Example 1.]
$ million
Analytically show if f(g(x)) = g(f(x)). Provide a Yes/No answera) A grocery store is going to apply a discount, g, to the price, x, of BestBrand 1 gallon milk. The amount of discount is 15%. The final price, f, is calculated by adding a sales tax to the price, x, of any product. The amount of sales tax is 8%. Does it make any difference to apply the discount before or after the cashier processes the sale? b) A grocery store is going to apply a discount, g, to the price, x, of BestBrand 1 gallon milk. The amount of discount is 0.75 $. The final price, f, is calculated by adding a sales tax to the price, x, of any product. The amount of sales tax is 8%. Does it make any difference to apply the discount before or after the cashier processes the sale?
Chapter D Solutions
College Algebra with Modeling & Visualization, Books a la Carte Edition plus MyLab Math with Pearson eText -- Access Card Package (6th Edition)
Ch. D - Prob. 1ECh. D - Prob. 2ECh. D - Prob. 3ECh. D - Prob. 4ECh. D - Prob. 5ECh. D - Prob. 6ECh. D - Prob. 7ECh. D - Prob. 8ECh. D - Prob. 9ECh. D - Prob. 10E
Ch. D - Prob. 11ECh. D - An account contains A dollars and increases...Ch. D - Prob. 13ECh. D - Prob. 14ECh. D - Prob. 15ECh. D - Prob. 16ECh. D - Prob. 17ECh. D - Prob. 18ECh. D - Prob. 19ECh. D - Prob. 20ECh. D - Prob. 21ECh. D - Prob. 22ECh. D - Prob. 23ECh. D - Prob. 24ECh. D - Prob. 25ECh. D - Prob. 26ECh. D - Prob. 27ECh. D - Prob. 28ECh. D - Prob. 29ECh. D - Prob. 30ECh. D - Prob. 31ECh. D - Prob. 32ECh. D - Prob. 33ECh. D - Prob. 34ECh. D - Prob. 35ECh. D - Prob. 36ECh. D - Prob. 37ECh. D - Prob. 38ECh. D - Prob. 39ECh. D - Prob. 40ECh. D - Prob. 41ECh. D - (Refer to Example 6.) Write a formula for f(t)...Ch. D - Prob. 43ECh. D - Prob. 44ECh. D - Prob. 45ECh. D - Prob. 46ECh. D - Prob. 47ECh. D - Prob. 48ECh. D - Prob. 49ECh. D - Prob. 50ECh. D - Prob. 51ECh. D - Prob. 52ECh. D - Prob. 53ECh. D - Prob. 54ECh. D - Prob. 55ECh. D - Prob. 56ECh. D - Prob. 57ECh. D - Prob. 58ECh. D - Prob. 59ECh. D - Prob. 60ECh. D - Prob. 61ECh. D - Prob. 62ECh. D - Prob. 63ECh. D - Pollution A pollutant in a river has an initial...Ch. D - Prob. 65ECh. D - Prob. 66E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that grows at a rate of 10% per hour. She will check on the virus in 24 hours. How many viruses will she find?arrow_forwardWrite the formula for the function that we get when we stretch the identity toolkit function by a factor of 3, and then shift it down by 2 units.arrow_forwardPlease answer a & b. Thank you! The first case of COVID in the Philippines was recorded at the end month of January 2020. At the end of September 2020, around 312,000 were already infected with the virus. If this COVID-19 trend continues and the case grows at a rate proportional to the present case. find a.) the expression for the approximate number of positive cases in the Philippines at any time t,b.) the time for the country to reach 1 million COVID cases?arrow_forward
- Two functions are shown below. Ella thinks that Function 2 has a greater initial value because 3›1. Tommy thinks that Function 2 has a greater rate of change because 1½ › ²⁄₃ Both Ella and Tommy made a mistake in their thinking. Help each of them understand their mistake and make a new comparison.arrow_forward3. Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website. `y=82(1.045)^{x}` Part A: What is the rate of growth Michael expects each week after launching the website? Part B: How many users should Michael expect after the first month? Show your work.arrow_forwardThe graphs show the percentage of jobs in the U.S. labor force held by men and by women from 1970 through 2015. The formula p = 1.62√t + 38 models the percentage of jobs in the U.S. labor force, p, held by women t years after 1970. Solve, c. According to the formula, when will 51% of jobs in the U.S. labor force be held by women? Round to the nearest year.arrow_forward
- I need help solving this question "A population of bacteria decreases according to the following model:P(t) = 20(0.95)^t where P(t) is the population in thousands and t is the number of days since January 1st (t = 0 represents January 1st) In how many days will the number of bacteria decrease to a half of the originalamount?"arrow_forwardthe value of an investment is modelled by A(t)=5000e0.09t , where A is the amount the investment in dollars is worth after t years. At what rate is the investment growing at the time when its value has doubled?arrow_forward2. Model the following data using an exponential function of the form f(x) = Ab^x . set up a system of equations, and solve it to get A and b. (a) f(x) is exponential and goes through the points (1, 2) and (4, 6). (b) f(x) is exponential and goes through the points (2, 75) and (5, 9375).arrow_forward
- You have a formula that gives return R, in dollars, that the operator must pay off after t months. The formula is R(t)=21,000x1.06^t. Assume the investors pay $2000 to join the scheme. How many investors must be recruited at the end of 3 years in order to pay the existing investors?arrow_forwardWhen a species of pigs is introduced onto an island, its population increases 15% each year. This population t years after introduction is given by P = k * a^t where k and a are constants and t is greater than or equal to 0 what is the value of a? use the graph below to help solvearrow_forwardAnswer both parts as they are related The enrollment at Betropolis University is currently 5,000 students. The rate of increase of enrollment is given by E’(t) = 2000/[(t+1)^(3/2)] A. Find the enrollment in 15 years. Your answer should be correct to 3 places after the decimal point. ___________ B. If the trend continues into the forever future what is the projected enrollment. Your answer should be correct to 3 places after the decimal point. ___________arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY