A publishing company estimates that when a new book by a best-selling author is introduced, its sales can be modeled asn(x)68.95thousand bookssold in the United States by the end of the xth week. Sales outside the United States can be modeled asa(x) 0.127x thousand bookssold by the end of the xth week.(a) Write a formula for the total number of copies t sold by the end of the xth week.t(x)thousand books(b) Write the rate-of-change formula for the total number of copies sold by the end of the xth weekt'(x) =thousand books per week(c) How many copies of the book will be sold by the end of 52 weeks? (Round your answer to three decimal places.)thousand books(d) How rapidly are books selling after 52 weeks? (Round your answer to three decimal places.)thousand books per weekWrite the answer in a sentence of practical interpretationAt the end of 52 weeks, sales areSelect-thousand books per week.by

As per norms, the first three questions are answered. The problem concerns applying basic rules of…

Answered: A publishing company estimates that…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

A bank features a savings account that has an annual percentage rate of r = 5% with interest compounded quarterly. Laura deposits $10,500 into the account. P(1 + )". The account balance can be modeled by the exponential formula S(t) = where S is the future value, P is the present value, r is the annual percentage rate written as a decimal, n is the number of times each year that the interest is compounded, andt is the time in years. (A) What values should be used for P, r, and n? Р— r = n = (B) How much money will Laura have in the account in 9 years? Answer = $
268,738,560,000 games 2,333 games 4,199 games 1,296 games
The Solomon Islands has average precipitation of 3028 mm per year. On a random week in Solomon Islands, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23).
Personal care aide is an occupation that is growing quickly. Assume that, in a certain region, there will be a need for 195,686 personal care aides in 2024, a growth of about 29% over 2014 levels. How many personal care aides were there in this region in 2014?
York Region's population, P, is projected to grow until 2031 based on a growth rate of 2.9 % per year. The initial population in the year 1996 was 610,000 people. What is the projected population of York Region in the year 2025 assuming the same rate of population growth? *
A painting sold for $246 in 1980 and was sold again in 1985 for $439. Assume that the growth in the value V of the collector's item was exponential. C a) Find the value k of the exponential growth rate. Assume V₂ = 246. (Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1980. V(t) = c) Estimate the value of the painting in 2007. (Round to the nearest dollar.) d) What is the doubling time for the value of the painting to the nearest tenth of a year? years (Round to the nearest tenth.) e) Find the amount of time after which the value of the painting will be $6430. years (Round to the nearest tenth.)
Find Log (3X+5)-Keg(X-4)=195 3¢
A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.6 million Americans will be at least 65. The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond. A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over, y, in millions, x years after 1899. Use this information to solve (a)-(d) below. Click the icon to view the bar graph. 最重 ExpReg y = a-b^x a = 3.363809536 b = 1.023357735 a. Explain why an exponential function was used to model the population data. A. An exponential function was used because the data in the bar graph is increasing more and more rapidly. OB. An exponential function was used because population is always modeled using exponential functions. OC. An exponential function was used because there are too many data points to use a linear function. OD. An exponential function was used because…
India has average precipitation of 1083 mm per year. On a random week in India, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). The United Arab Emirates has average precipitation of 78 mm per year. On a random week in United Arab Emirates, what is the expected rainfall as measured in inches per week? Use your E(aX) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). Panama has average precipitation of 2928 mm per year. On a random week in Panama, what is the expected rainfall as measured in inches per week? Use your E(aX+b) formula, and the fact that 1 mm is equal to 0.0393701 inches, and there are 52.1429 weeks in a year. (Round your answers to two decimal places; ex: 1.23). The United States…

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS