Chapter 3.8, Problem 20E
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Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
BuyFindarrow_forward
Single Variable Calculus: Early Tr...
8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem
(a) If $1000 is borrowed at 8% interest, find the amounts due at the end of 3 years if the interest is compounded (i) annually, (ii) quarterly. (iii) monthly, (iv) weekly, (v) daily, (vi) hourly, and (vii) continuously.
(b) Suppose $ 1000 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where 0 ≤ t ≤ 3, graph A(1) for each of the interest rates 6%, 8%, and I 0% on a common screen.
(a)
To determine
To find: The amounts due to the end of 3 years if the interest compounded (i) annually, (ii) quarterly, (iii) monthly, (iv) weekly, (v) daily, (vi) hourly, and (vii) continuously.
Explanation
Given:
Initial amount is $1000.
Interest rate is 8%.
Number of years is 3.
Formula used:
The value of the investment is
Where,
n is the number of times the interest is compounded per year.
t is the number of years.
Calculation:
Section (i)
If
Substitute
Thus, the amount is
Section (ii)
If
Substitute
Thus, the amount is
Section (iii)
If
Substitute
Thus, the amount is
Section (iv)
If
Substitute
(b)
To determine
To sketch: The graph of amount
Chapter 3 Solutions
Sect-3.1 P-1ESect-3.1 P-2ESect-3.1 P-3ESect-3.1 P-4ESect-3.1 P-5ESect-3.1 P-6ESect-3.1 P-7ESect-3.1 P-8ESect-3.1 P-9ESect-3.1 P-10E
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P-57ESect-3.11 P-58ECh-3 P-1RCCCh-3 P-2RCCCh-3 P-3RCCCh-3 P-4RCCCh-3 P-5RCCCh-3 P-6RCCCh-3 P-7RCCCh-3 P-1RQCh-3 P-2RQCh-3 P-3RQCh-3 P-4RQCh-3 P-5RQCh-3 P-6RQCh-3 P-7RQCh-3 P-8RQCh-3 P-9RQCh-3 P-10RQCh-3 P-11RQCh-3 P-12RQCh-3 P-13RQCh-3 P-14RQCh-3 P-15RQCh-3 P-1RECh-3 P-2RECh-3 P-3RECh-3 P-4RECh-3 P-5RECh-3 P-6RECh-3 P-7RECh-3 P-8RECh-3 P-9RECh-3 P-10RECh-3 P-11RECh-3 P-12RECh-3 P-13RECh-3 P-14RECh-3 P-15RECh-3 P-16RECh-3 P-17RECh-3 P-18RECh-3 P-19RECh-3 P-20RECh-3 P-21RECh-3 P-22RECh-3 P-23RECh-3 P-24RECh-3 P-25RECh-3 P-26RECh-3 P-27RECh-3 P-28RECh-3 P-29RECh-3 P-30RECh-3 P-31RECh-3 P-32RECh-3 P-33RECh-3 P-34RECh-3 P-35RECh-3 P-36RECh-3 P-37RECh-3 P-38RECh-3 P-39RECh-3 P-40RECh-3 P-41RECh-3 P-42RECh-3 P-43RECh-3 P-44RECh-3 P-45RECh-3 P-46RECh-3 P-47RECh-3 P-48RECh-3 P-49RECh-3 P-50RECh-3 P-51RECh-3 P-52RECh-3 P-53RECh-3 P-54RECh-3 P-55RECh-3 P-56RECh-3 P-57RECh-3 P-58RECh-3 P-59RECh-3 P-60RECh-3 P-61RECh-3 P-62RECh-3 P-63RECh-3 P-64RECh-3 P-65RECh-3 P-66RECh-3 P-67RECh-3 P-68RECh-3 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55. Females in the workforce For selected years from 1950 and with projections to 2050, the table shows the per...
Mathematical Applications for the Management, Life, and Social Sciences
In Exercises 11 and 12, state whether each of the following sets are equal. equivalent, both, or neither. 11. {...
Mathematical Excursions (MindTap Course List)
True or False Label each of the following statements as either true or false. The symmetries of any plane figur...
Elements Of Modern Algebra
Solve the following problems using 6.2% up to $117.000 for social security withholding and 1.45% for Medicare. ...
Contemporary Mathematics for Business & Consumers
In Review Exercises 5 to 10, BA is tangent to the circle at point A in the figure shown. Given:Cisthemidpointof...
Elementary Geometry For College Students, 7e
Estimating a Limit Numerically In Exercises 11-20, create a table of values for the function and use the result...
Calculus: Early Transcendental Functions (MindTap Course List)
Evaluate the integral. 23. dxxx2+1
Single Variable Calculus: Early Transcendentals
Probability In Exercises 73 and 74, approximate the probability with an error of less than 0.0001, where the pr...
Calculus of a Single Variable
Fill in the blanks. a. If a linear programming problem has a solution, then it must occur at a/an of the feasi...
Finite Mathematics for the Managerial, Life, and Social Sciences
For , f(x) = 0 2 3 f(3) does not exist
Study Guide for Stewart's Multivariable Calculus, 8th
What is the partial fraction form of ?
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
The report Education Pays 2016 (The College Board, trends.collegeboard.org/sites/default/files/education-pays-2...
Introduction To Statistics And Data Analysis
In Exercises 9 to 24, find an equation of the line described. Leave the solution in the form Ax+By = C. The lin...
Elementary Geometry for College Students
Finding Parametric and Symmetric EquationsIn Exercises 712, find sets of (a) parametric equations and (b) symme...
Multivariable Calculus
Estimating Errors In Exercises 29-32, use the error formulas in Theorem 8.6 to find n such that the error in th...
Calculus (MindTap Course List)
A joint survey by Parade magazine and Yahoo! found that 59% of American workers say that if they could do it al...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Morningstar tracks the performance of a large number of companies and publishes an evaluation of each. Along wi...
Statistics for Business & Economics, Revised (MindTap Course List)
Explain the role of voluntary participation in informed consent.
Research Methods for the Behavioral Sciences (MindTap Course List)
Explain how increasing the size of the sample can influence the outcome of a hypothesis test.
Research Methods for the Behavioral Sciences (MindTap Course List)
Do some research and find out the population of your community at two fairly recent points in time. Use the dat...
Mathematics: A Practical Odyssey
Compute 4.8911.34 .
Mathematics For Machine Technology
Factor each expression completely. If an expression is prime, so indicate. x22x+15
College Algebra (MindTap Course List)
