Math

CalculusApplied CalculusDemographics: Average Age and Fertility The following graph shows a plot of average age of a population versus fertility rate (the average number of children each woman has in her lifetime) in the United States and Europe over the period 1950–2005: 53 Fertility rate The equation of the accompanying curve is a = 28.5 + 120 ( 0.172 ) x ( 1.4 ≤ x ≤ 3.7 ) , where a is the average age (in years) of the population and x is the fertility rate. a. Compute a ' ( 2 ) . What does the answer tell you about average age and fertility rates? b. Use the answer to part (a) to estimate how much the fertility rate would need to increase from a level of 2 children per woman to lower the average age of a population by about 1 year.BuyFind*launch*

7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 4.5, Problem 99E

Textbook Problem

**Demographics: Average Age and Fertility** The following graph shows a plot of average age of a population versus fertility rate (the average number of children each woman has in her lifetime) in the United States and Europe over the period 1950–2005:^{53}

Fertility rate

The equation of the accompanying curve is

*a* is the average age (in years) of the population and x is the fertility rate.

**a.** Compute

**b.** Use the answer to part (a) to estimate how much the fertility rate would need to increase from a level of 2 children per woman to lower the average age of a population by about 1 year.

Applied Calculus

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The 2014 Ebola Outbreak In the first 6 months of...Ch. 4.5 - SAT Scores by Income The following bar graph shows...Ch. 4.5 - SAT Scores by Income The following bar graph shows...Ch. 4.5 - Demographics: Average Age and Fertility The...Ch. 4.5 - Demographics: Average Age and Fertility The...Ch. 4.5 - Epidemics A flu epidemic described in Example 1 in...Ch. 4.5 - Epidemics Another epidemic follows the curve...Ch. 4.5 - Subprime Mortgages during the Housing Bubble...Ch. 4.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 4.5 - Subprime Mortgages during the Housing Bubble...Ch. 4.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 4.5 - Population Growth The population of Lower Anchovia...Ch. 4.5 - Population Growth The population of Upper Anchovia...Ch. 4.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 4.5 - Radioactive Decay Carbon 14 has a half-life of...Ch. 4.5 - Cellphone Revenues The number of cellphone...Ch. 4.5 - Cellphone Revenues The annual revenue for...Ch. 4.5 - Complete the following: The derivative of e raised...Ch. 4.5 - Complete the following: The derivative of the...Ch. 4.5 - Complete the following: The derivative of 2 raised...Ch. 4.5 - Complete the following: The derivative of the base...Ch. 4.5 - What is wrong with the following?...Ch. 4.5 - What is wrong with the following? ddx22x=(2)22x X...Ch. 4.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 4.5 - What is wrong with the following? ddxln(3x21)=16x...Ch. 4.5 - The number N of music downloads on campus is...Ch. 4.5 - The number N of graphing calculators sold on...Ch. 4.5 - Show that the fractional rate of change of the...Ch. 4.5 - Show that the fractional rate of change of f(x) is...Ch. 4.5 - Let A(t) representa quantity growing...Ch. 4.5 - Let A(t) be the amount of money in an account that...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - 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Employment An employment research company...Ch. 4.6 - Grades62 A productivity formula for a students...Ch. 4.6 - Grades Repeat Exercise 59 using the following...Ch. 4.6 - Exercises 61 and 62 are based on the following...Ch. 4.6 - Exercises 61 and 62 are based on the following...Ch. 4.6 - Fill in the missing terms: The equation x=y3+y3...Ch. 4.6 - Fill in the missing terms: When x0 in the equation...Ch. 4.6 - Use logarithmic differentiation to give another...Ch. 4.6 - Use logarithmic differentiation to give a proof of...Ch. 4.6 - If y is given explicitly as a function of x by an...Ch. 4.6 - Explain why one should not expect dy/dx tobe a...Ch. 4.6 - If y is a function of x and dy/dx0 atsome point,...Ch. 4.6 - If you are given an equation in x and y such that...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - 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Cost OHaganBooks.com has been experiencing a run...Ch. 4 - Revenue At the moment, OHaganBooks.com is selling...Ch. 4 - Revenue Because of ongoing problems with its large...Ch. 4 - Percentage Rate of Change of Revenue The...Ch. 4 - P/E Ratios At the beginning of last week,...Ch. 4 - P/E Ratios Refer to Exercise 64. Jay Campbell, who...Ch. 4 - Percentage Rate of Change of P/E Ratios Refer to...Ch. 4 - Sales OHaganBooks.com decided that the cubic curve...Ch. 4 - Rising Sea Level Upon some reflection, Marjory...Ch. 4 - Website Activity The number of hits on...Ch. 4 - Website Activity The number of hits on...Ch. 4 - Demand and Revenue The price p that...Ch. 4 - Demand and Revenue The price p that...Ch. 4 - Find limt+N(t) forboth models, and interpret the...

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