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7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337274203

Chapter 14.4, Problem 48E

Textbook Problem

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**Saving for College** When your first child is born, you begin to save for college by depositing $400 per month in an account paying 12% interest per year. With a continuous stream of investment and continuous compounding, how much will you have accumulated in the account by the time your child enters college 18 years later?

To determine

**To calculate:** The Future value of the investment accumulated in the account by the time child enters college

**Given Information:**

The amount of

**Formula used:**

The Future Value of a Continuous Income Stream:

If the rate of receipt of Income from time

**Calculation:**

Total saving per year is:

Consider the investment equation:

Since, to get Future value of the investment accumulated in

Breaking the given interval

Where,

Rate of interest is given by

Finite Mathematics and Applied Calculus (MindTap Course List)

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In Exercises 2534, use graphing technology to plot...Ch. 14.3 - In Exercises 2534, use graphing technology to plot...Ch. 14.3 - Television Advertising The cost, in millions of...Ch. 14.3 - Television Advertising The cost, in millions of...Ch. 14.3 - Membership: Facebook The number of new members...Ch. 14.3 - Membership: MySpace The number of new members...Ch. 14.3 - Freon Production Annual production of ozone-layer-...Ch. 14.3 - Health Expenditures Annual expenditures on health...Ch. 14.3 - Investments If you invest $10,000 at 8% interest...Ch. 14.3 - Investments If you invest $10,000 at 12% interest...Ch. 14.3 - Average Balance Suppose you have an account...Ch. 14.3 - Average Balance Suppose you have an account...Ch. 14.3 - Online Payments The value of payments made through...Ch. 14.3 - Online Auctions The net number of new active eBay...Ch. 14.3 - Stock Prices: Exxon Mobil The following table...Ch. 14.3 - Stock Prices: Nokia The following table shows the...Ch. 14.3 - Cancun The Playa Loca Hotel in Cancun has an...Ch. 14.3 - 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In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - In Exercises 2530, find the total value of the...Ch. 14.4 - In Exercises 2530, find the total value of the...Ch. 14.4 - In Exercises 2530, find the total value of the...Ch. 14.4 - In Exercises 2530, find the total value of the...Ch. 14.4 - In Exercises 2530, find the total value of the...Ch. 14.4 - In Exercises 2530, find the total value of the...Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - College Tuition A study of U.S. colleges and...Ch. 14.4 - Fast Food A fast-food outlet finds that the demand...Ch. 14.4 - Revenue: Nokia The annual net sales (revenue)...Ch. 14.4 - Revenue: Nintendo The annual net sales (revenue)...Ch. 14.4 - Revenue: Walmart The annual revenue earned by...Ch. 14.4 - Revenue: Target The annual revenue earned by...Ch. 14.4 - Revenue Refer back to Exercise 39. Suppose that,...Ch. 14.4 - Revenue Refer back to Exercise 40. Suppose that,...Ch. 14.4 - Revenue Refer back to Exercise 41. Suppose that,...Ch. 14.4 - Revenue Refer back to Exercise 42. Suppose that,...Ch. 14.4 - Saving for Retirement You are saving for your...Ch. 14.4 - Saving for College When your first child is born,...Ch. 14.4 - Saving for Retirement You begin saving for your...Ch. 14.4 - Saving for College When your first child is born,...Ch. 14.4 - Bonds The U.S. Treasury issued a 30-year bond on...Ch. 14.4 - Bonds The Megabucks Corporation is issuing a...Ch. 14.4 - Valuing Future Income Inga was injured and can no...Ch. 14.4 - Valuing Future Income Max was injured and can no...Ch. 14.4 - Complete the following: The future value of a...Ch. 14.4 - Complete the following: The present value of a...Ch. 14.4 - Linear Demand Given a linear demand equation...Ch. 14.4 - Linear Supply Given a linear supply equation of...Ch. 14.4 - Your study group friend says that the future value...Ch. 14.4 - Your other study group friend says that the...Ch. 14.4 - Arrange from smallest to largest: total value,...Ch. 14.4 - a. 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In Exercises 2734, use technology to approximate...Ch. 14.5 - In Exercises 2734, use technology to approximate...Ch. 14.5 - In Exercises 2734, use technology to approximate...Ch. 14.5 - New Home Sales Sales of new homes in the United...Ch. 14.5 - Revenue from New Home Sales Revenue from the sale...Ch. 14.5 - Cigarette Sales According to data published by the...Ch. 14.5 - Sales Sales of the text Calculus and You have been...Ch. 14.5 - Sales My financial adviser has predicted that...Ch. 14.5 - Revenue Alarmed about the sales prospects for my...Ch. 14.5 - Education Let N(t) be the number of high school...Ch. 14.5 - Education: Martian Let M(t) be the number of high...Ch. 14.5 - Cellphone Revenues The number of cellphone...Ch. 14.5 - Vidphone Revenues The number of vidphone...Ch. 14.5 - Development Assistance According to data published...Ch. 14.5 - Humanitarian Aid Repeat Exercise 45, using the...Ch. 14.5 - Hair Mousse Sales The amount of extremely popular...Ch. 14.5 - Chocolate Mousse Sales The weekly demand for your...Ch. 14.5 - 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In Execises11-20, find the indicated particular...Ch. 14.6 - In Execises11-20, find the indicated particular...Ch. 14.6 - In Execises11-20, find the indicated particular...Ch. 14.6 - Sales Your monthly sales of green tea ice cream...Ch. 14.6 - Profit Your monthly profit on sales of avocado ice...Ch. 14.6 - Newtons Law of Cooling For coffee in a ceramic...Ch. 14.6 - Newtons Law of Cooling For coffee in a paper cup,...Ch. 14.6 - Cooling A bowl of clam chowder at 190F is placed...Ch. 14.6 - Heating Suppose that a pie at 20F is put in an...Ch. 14.6 - Market Saturation You have just introduced a new...Ch. 14.6 - Market Saturation Repeat Exercise 27, assuming...Ch. 14.6 - Determining Demand Nancys Chocolates estimates...Ch. 14.6 - Determining Demand Nancys Chocolates estimates...Ch. 14.6 - Linear Differential Equations Exercises 3136 are...Ch. 14.6 - Linear Differential Equations Exercises 3136 are...Ch. 14.6 - Linear Differential Equations Exercises 3136 are...Ch. 14.6 - Linear Differential Equations Exercises 3136 are...Ch. 14.6 - Linear Differential Equations Exercises 3136 are...Ch. 14.6 - Linear Differential Equations Exercises 3136 are...Ch. 14.6 - Approach to Equilibrium The Extrasoft Toy Co. has...Ch. 14.6 - Approach to Equilibrium Spacely Sprockets has just...Ch. 14.6 - Logistic Equation There are many examples of...Ch. 14.6 - Logistic Equation Using separation of variables...Ch. 14.6 - Exercises 4144 require the use of technology....Ch. 14.6 - Exercises 4144 require the use of technology....Ch. 14.6 - Exercises 4144 require the use of technology....Ch. 14.6 - Exercises 4144 require the use of technology....Ch. 14.6 - What is the difference between a particular...Ch. 14.6 - Why is there always an arbitrary constant in the...Ch. 14.6 - Show by example that a second-order differential...Ch. 14.6 - Find a differential equation that is not...Ch. 14.6 - Find a differential equation whose general...Ch. 14.6 - Explain how, knowing the elasticity of demand as a...Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - In Exercises 11-14, find the area of the given...Ch. 14 - In Exercises 11-14, find the area of the given...Ch. 14 - In Exercises 11-14, find the area of the given...Ch. 14 - In Exercises 11-14, find the area of the given...Ch. 14 - In Exercises15-18, find the average value of the...Ch. 14 - In Exercises15-18, find the average value of the...Ch. 14 - In Exercises15-18, find the average value of the...Ch. 14 - In Exercises15-18, find the average value of the...Ch. 14 - In Exercises 19-22, find the 2-unit moving...Ch. 14 - In Exercises 19-22, find the 2-unit moving...Ch. 14 - In Exercises 19-22, find the 2-unit moving...Ch. 14 - In Exercises 19-22, find the 2-unit moving...Ch. 14 - In Exercises 23 and 24, calculate the consumers...Ch. 14 - In Exercises 23 and 24, calculate the consumers...Ch. 14 - In Exercises 25 and 26, calculate the consumers...Ch. 14 - In Exercises 25 and 26, calculate the consumers...Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - In Exercises 33-36, solve the given differential...Ch. 14 - In Exercises 33-36, solve the given differential...Ch. 14 - In Exercises 33-36, solve the given differential...Ch. 14 - In Exercises 33-36, solve the given differential...Ch. 14 - Spending on Stationery Alarmed by the volume of...Ch. 14 - Spending on Shipping During the past 10 months,...Ch. 14 - Education Costs Billy-Sean OHagan, having...Ch. 14 - Investments OHaganBooks.com keeps its cash...Ch. 14 - Consumerss and Producerss Surplus Currently, the...Ch. 14 - Consumers and Producers Surplus OHaganBooks.com is...Ch. 14 - Revenue Sales of the best seller A River Burns...Ch. 14 - Foreign Investments Panicked by the performance of...Ch. 14 - Investments OHaganBooks.com CEO John OHagan has...Ch. 14 - Savings John OHagan had been saving money for...Ch. 14 - Acquisitions The Megabucks Corporation is...Ch. 14 - More Acquisitions OHaganBooks.com is thinking of...Ch. 14 - Incompetence OHaganBooks.com is shopping around...Ch. 14 - Shrewd Bankers The new junior officer at the bank...

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Finding Points of Intersection In Exercises 41-48, find the points of intersection (if any) of the graphs of th...

Calculus: An Applied Approach (MindTap Course List)

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by...

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate the line integral, where C is the given curve. 13. C xyeyz dy, C: x = t, y = t2, z = t3, 0 t 1

Multivariable Calculus

Trace or copy the graph of the given function .f. (Assume that the axes have equal scales.) Then use the method...

Calculus: Early Transcendentals

Nonlinear Inequalities Solve the nonlinear inequality. Express the solution using interval notation and graph t...

Precalculus: Mathematics for Calculus (Standalone Book)

Evaluate the expression sin Exercises 116. 2322

Applied Calculus

Distinguish between descriptive and inferential statistics. Describe a research situation that would use each t...

Essentials Of Statistics

Ford and Torok (2008) found that motivational signs were effective in increasing physical activity on a college...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

If px is the total value of the production when there are x workers in a plant, then the average productivity o...

Calculus (MindTap Course List)

Research results suggest a relationship between the TV viewing habits of 5-year-old children and their future p...

Statistics for The Behavioral Sciences (MindTap Course List)

Match each equation with its graph. Explain your choices. (Dont use a computer or graphing calculator). 3. (a) ...

Single Variable Calculus

In Exercises 4143, find the distance between the two points. 41. (2, 3) and (1, 7)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Ecology: Wolf Packs How large is a wolf pack? The following information is from a random sample of winter wolf ...

Understanding Basic Statistics

For problems 27-54, simplify each of the numerical expressions. Objective 2 and 3 [3(1)34(2)2]2

Intermediate Algebra

In Exercises 516, evaluate the given quantity. log5125

Finite Mathematics

Three different roads feed into a particular freeway entrance. Suppose that during a fixed time period, the num...

Probability and Statistics for Engineering and the Sciences

Add the following signed number: (8)+(4)

Elementary Technical Mathematics

Write the following whole numbers in numerical form.
4. Four million, five hundred sixty thousand

Contemporary Mathematics for Business & Consumers

Use the result in Exercise 26 to find the equation of the circle that has center 0, 0 and contains the point 3,...

Elementary Geometry For College Students, 7e

In Exercises 47 to 54, find the number of subsets of the given set. The set of all negative whole numbers

Mathematical Excursions (MindTap Course List)

Use left to right elimination to solve.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). limx22x2+13x2

Single Variable Calculus: Early Transcendentals

Acceleration The velocity of an automobile starting from rest is v(t)100t2t+15 where v is measured in feet per ...

Calculus: Early Transcendental Functions (MindTap Course List)

Writing the Terms of a Sequence In Exercises 510, write the first five terms of the sequence with the given n t...

Calculus of a Single Variable

Arc Length The minute hand of a clock is 2 centimeters long. How far does the tip of the minute hand travel in ...

Trigonometry (MindTap Course List)

Find the decimal representation for each of the numbers in Exercises 1-6.

Elements Of Modern Algebra

A definite integral for the area under the curve described by x = t2 + 1, y = 2t, 0 ≤ t ≤ 1 is:

Study Guide for Stewart's Multivariable Calculus, 8th

True or False:
If converges absolutely, then it converges conditionally.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

The measures of the sides of the square base of a box area twice the measure of the height of the box. If the v...

Elementary Geometry for College Students

The Economist collects data each year on the price of a Big Mac in various countries around the world. The pric...

Introduction To Statistics And Data Analysis

In Exercises 16, refer to the accompanying figure and determine the coordinates of the point and the quadrant i...

Finite Mathematics for the Managerial, Life, and Social Sciences

Matching In Exercises 5-10, match the function with its graph using horizontal asymptotes as an aid. The graphs...

Calculus (MindTap Course List)

Investigation Consider the differential equation yxy=0 with the initial conditions y(0)=0andy(0)=2. Find the se...

Multivariable Calculus

A sample of size 100 is selected from a population with p = .40. a. What is the expected value of p? b. What is...

Statistics for Business & Economics, Revised (MindTap Course List)

What is nuclear medicine?

Mathematics: A Practical Odyssey

Graph each subset of the real numbers on a number line: The integers between -5 to 0

College Algebra (MindTap Course List)

In this chapter, we introduced the observational research design, the survey research design, and the case stud...

Research Methods for the Behavioral Sciences (MindTap Course List)

For each of the following scenarios, identify which sampling method is used: a. The State College is conducting...

Research Methods for the Behavioral Sciences (MindTap Course List)

The Transactional Records Access Clearinghouse at Syracuse University reported data showing the odds of an Inte...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Express each value as a percent. 16. 1.33

Mathematics For Machine Technology