Sales: Loudspeakers Sales of the Acrosonic model F loudspeaker systems have been growing at the rate off'(t) = 2,400(3 - 2e-t)systems/year, where t denotes the number of years these loudspeaker systems have been on the market. Determine the number of loudspeakersystems that were sold in the first 6 years after they appeared on the market. (Round your answer to the nearest whole number.)X systems

Answered: Image /qna-images/answer/f3eeddc8-002b-4a6e-9b33-d022b15b4975.jpg

Answered: Sales: Loudspeakers Sales of the…

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

Suppose the population of rabbits can be modeled by the function P = 37 · (1.31)0.2t , where t is measured in months.(a) What is the initial population of rabbits? (b) How many months does it take for the population to grow to 335? Round your answer to three decimal places.
Having completed your first few tasks, you move now to a portion of the lab where important bacteria are being grown. Based on the data collected, you have determined that the population of this bacteria in the range measured can be modeled as A (t) = 195(1.31)t, where t is given in days. To the nearest whole number, what will the bacteria population be after 5 days? The bacteria population will be Number
The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds (ii)0.05 seconds (iii)0.01 seconds (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.
The number of acres of old growth forest in a park, N, initially 500 acres, is decreasing at a continuous rate of 15% per year. A possible formula for N as a function of t, measured in years, is: O (a) N-500 (1.15) O (b) N = 500 (0.85) O (c) N =500 (0.15) O (d) N-500 (-0.15) O (e) N= 500e1.15t O (f) N = 500e0.85t O(g) N-500e0.15t O (h) N-500e-0.15t O (i) N-500 - 15t O (₁) N-500-0.15t
A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 925. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) (b) Find the number of bacteria after 6 hours. (Round your answer to the nearest whole number.) (c) Find the rate of growth (in bacteria per hour) after 6 hours. (Round your answer to the nearest whole number.)

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