Math

CalculusApplied CalculusCellphone Revenues The number of cellphone subscribers in China in the years 2000–2005 was projected to follow the equation N ( t ) = 39 t + 68 millionsubscribers in year t. ( t = 0 representsJanuary 2000.) The average annual revenue per cellphone user was $350 in 2000. If we assume that because of competition the revenue per cell- phone user decreases continuously at an annual rate of 30%, we can model the annual revenue as R ( t ) = 350 ( 39 t + 68 ) e − 0.3 t million dollars . Determine (a) when to the nearest 0.1 year the revenue was projected to peak and (b) the revenue, to the nearest $1 million, at that time.BuyFind*launch*

7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 5.2, Problem 53E

Textbook Problem

**Cellphone Revenues** The number of cellphone subscribers in China in the years 2000–2005 was projected to follow the equation
*t.*

Determine **(a)** when to the nearest 0.1 year the revenue was projected to peak and **(b)** the revenue, to the nearest $1 million, at that time.

Applied Calculus

Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...

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End of the Earth In 5 billion years the Sun will...Ch. 5.4 - Loss of Odyssia The following graph shows the...Ch. 5.4 - Consumer Price Index The following graph shows the...Ch. 5.4 - Consumer Price Index The following graph shows the...Ch. 5.4 - Motion in a Straight Line The distance of a UFO...Ch. 5.4 - Motion in a Straight Line The distance of The Mars...Ch. 5.4 - Average Cost: iPhone Assume that is costs Apple...Ch. 5.4 - Average Cost: PlayStation 4s Assume that it costs...Ch. 5.4 - Subprime Mortgages during the Housing Bubble...Ch. 5.4 - Subprime Mortgage Debt during the Housing Bubble...Ch. 5.4 - A function is bounded if its entire graph lies...Ch. 5.4 - A function is bounded above if its entire graph...Ch. 5.4 - If the graph of a function has a vertical...Ch. 5.4 - If the graph of a function has a horizontal...Ch. 5.4 - Your friend tells you that he has found a...Ch. 5.4 - Your other friend tells you that she has found a...Ch. 5.4 - By thinking about extrema, show that, if f(x) isa...Ch. 5.4 - If f(x) isa polynomial of degree 2 or higher, show...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Sunspots The area of a circular sunspot is growing...Ch. 5.5 - Puddles The radius of a circular puddle is growing...Ch. 5.5 - Balloons A spherical party balloon is being...Ch. 5.5 - More Balloons A rather flimsy spherical balloon is...Ch. 5.5 - End of the Earth In 5 billion years the Sun will...Ch. 5.5 - End of Venus (Refer to Exercise 13.) 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Another player is...Ch. 5.5 - Movement along a Graph A point on the graph of...Ch. 5.5 - Motion around a Circle A point is moving along the...Ch. 5.5 - Education In 1991 the expected income of an...Ch. 5.5 - Education Refer back to the model in Exercise 39....Ch. 5.5 - Employment An employment research company...Ch. 5.5 - Grades A production formula for a students...Ch. 5.5 - Cones A right circular conical vessel is being...Ch. 5.5 - More Cones A circular conical vessel is being...Ch. 5.5 - Cylinders The volume of paint in a right...Ch. 5.5 - Cylinders A cylindrical bucket is being filled...Ch. 5.5 - Computers vs. Income In the 1990s the demand for...Ch. 5.5 - Computers vs. Income Refer back to the model in...Ch. 5.5 - Education and Crime The following graph compares...Ch. 5.5 - Education and Crime The following graph compares...Ch. 5.5 - Divorce Rates A study found that the divorce rate...Ch. 5.5 - Divorce Rates A study found that the divorce rate...Ch. 5.5 - Why is this section titled Related Rates?Ch. 5.5 - If you know how fast one quantity is changing and...Ch. 5.5 - In a related rates problem there is no limit to...Ch. 5.5 - If three quantities are related by a single...Ch. 5.5 - The demand and unit price for your stores...Ch. 5.5 - The number N of employees and the total floor...Ch. 5.5 - In solving a related rates problem a key step is...Ch. 5.5 - On a recent exam you were given a related rates...Ch. 5.5 - Transform the following into a mathematical...Ch. 5.5 - If two quantities x and y are related by a linear...Ch. 5.6 - Demand for Oranges The weekly sales of Honolulu...Ch. 5.6 - Demand for Oranges Repeat Exercise 1 for weekly...Ch. 5.6 - Demand for Smartphones Worldwide annual sales of...Ch. 5.6 - Projected Revenue: Smartphones Worldwide annual...Ch. 5.6 - College Tuition An old study of about 1,800 U.S....Ch. 5.6 - Monorail Services The demand for monorail service...Ch. 5.6 - Tissues The consumer demand equation for tissues...Ch. 5.6 - Bodybuilding The consumer demand curve for...Ch. 5.6 - T-Shirts The Physics Club sells E=mc2 T-shirts at...Ch. 5.6 - Comics The demand curve for original Iguanawoman...Ch. 5.6 - E-Readers The demand for Amazons Kindle e-reader...Ch. 5.6 - Monorail Service on Mars The demand for monorail...Ch. 5.6 - Corn In the 1930s the economist Henry Schultz...Ch. 5.6 - Demand for Fried Chicken A fried chicken franchise...Ch. 5.6 - Paint-By-Number The estimated monthly sales of...Ch. 5.6 - Paint-By-Number Repeat Exercise 15 using the...Ch. 5.6 - Linear Demand Functions A general linear demand...Ch. 5.6 - Exponential Demand Functions A general exponential...Ch. 5.6 - Hyperbolic Demand Functions A general hyperbolic...Ch. 5.6 - Quadratic Demand Functions A general quadratic...Ch. 5.6 - Modeling Linear Demand You have been hired as a...Ch. 5.6 - Modeling Linear Demand You have been hired as a...Ch. 5.6 - Modeling Exponential Demand As the new owner of a...Ch. 5.6 - Modeling Exponential Demand Repeat Exercise 23,...Ch. 5.6 - Income Elasticity of Demand: Live Drama The...Ch. 5.6 - Income Elasticity of Demand: Live Concerts The...Ch. 5.6 - Income Elasticity of Demand: Broadband in 2010 The...Ch. 5.6 - Income Elasticity of Demand: Broadband in 2007 The...Ch. 5.6 - Income Elasticity of Demand: Computer Usage in the...Ch. 5.6 - Income Elasticity of Demand: Internet Usage in the...Ch. 5.6 - Price Elasticity of Supply Given a supply equation...Ch. 5.6 - Price Elasticity of Supply Given a supply equation...Ch. 5.6 - Income Elasticity of Demand (based on a question...Ch. 5.6 - College Tuition (from the GRE Economics Test) A...Ch. 5.6 - Complete the following: When demand is inelastic,...Ch. 5.6 - Complete the following: When demand has unit...Ch. 5.6 - Given that the demand q is a differentiable...Ch. 5.6 - Given that the demand q is a differentiable...Ch. 5.6 - Your calculus study group is discussing price...Ch. 5.6 - Another member of your study group claims that...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 13 and 14, f is continuous on [3,3],...Ch. 5 - In Exercises 13 and 14, f is continuous on [3,3],...Ch. 5 - In Exercises 15 and 16 the position s of a point...Ch. 5 - In Exercises 15 and 16 the position s of a point...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - Revenue Demand for the latest best-seller at...Ch. 5 - Revenue Demand for The Secret Loves of John O, a...Ch. 5 - Profit Taking into account storage and shipping,...Ch. 5 - Profit Taking into account storage and shipping,...Ch. 5 - Office Space Although still a sophomore at...Ch. 5 - Recreation Space As a result of complaints by the...Ch. 5 - Box Design The sales department at...Ch. 5 - Box Redesign The sales department at...Ch. 5 - Sales OHaganBooks.com modeled its weekly sales...Ch. 5 - Sales The quarterly sales of OHagan oPods...Ch. 5 - Chance Encounter Marjory Duffin is walking north...Ch. 5 - Company Logos OHaganBooks.coms website has an ani-...Ch. 5 - Elasticity of Demand (Compare Exercise 23.) Demand...Ch. 5 - Elasticity of Demand (Compare Exercise 24.) Demand...Ch. 5 - Elasticity of Demand Last year OHaganBooks.com...Ch. 5 - Elasticity of Demand JungleBooks.com (one of...

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