The number of cell phone subscribers in a certain country in the years 2000-2005 was projected to follow the equation N(t) = 39t + 67 million subscribers in year t (t = 0 represents January 2000). The average annual revenue per cell phone user was $350 in 2000. If we assume that due to competition the revenue per cell phone user decreases continuously at an annual rate of 20%, we can model the annual revenue as R(t) = 350(39t +67)e-0.2 million dollars. (a) Determine when to the nearest 0.1 year the revenue was projected to peak. (Submit your answer in terms of t.) yr (b) Determine the revenue, to the nearest $1 million, at that time. million

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
icon
Related questions
Question
The number of cell phone subscribers in a certain country in the years 2000-2005 was projected to follow the equation N(t) = 39t + 67 million subscribers in year t (t = 0 represents January 2000).
The average annual revenue per cell phone user was $350 in 2000. If we assume that due to competition the revenue per cell phone user decreases continuously at an annual rate of 20%, we can
model the annual revenue as R(t) = 350(39t +67)e-0.2 million dollars.
(a) Determine when to the nearest 0.1 year the revenue was projected to peak. (Submit your answer in terms of t.)
yr
(b) Determine the revenue, to the nearest $1 million, at that time.
million
Transcribed Image Text:The number of cell phone subscribers in a certain country in the years 2000-2005 was projected to follow the equation N(t) = 39t + 67 million subscribers in year t (t = 0 represents January 2000). The average annual revenue per cell phone user was $350 in 2000. If we assume that due to competition the revenue per cell phone user decreases continuously at an annual rate of 20%, we can model the annual revenue as R(t) = 350(39t +67)e-0.2 million dollars. (a) Determine when to the nearest 0.1 year the revenue was projected to peak. (Submit your answer in terms of t.) yr (b) Determine the revenue, to the nearest $1 million, at that time. million
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning