a.
To find: the amount of interest in each year.
a.
Answer to Problem 34E
Explanation of Solution
Given information:
The equation for simple interest (I) is as follows:
Let the time for first five years be as follows:
Calculation:
Put the values of p and r in the following equation to convert it into function of t as shown below.
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the interest earned at
b.
To find: the domain and range of the relation.
b.
Answer to Problem 34E
Explanation of Solution
Given information:
Let I be y and time (t) be x.
Calculation:
The relation for five (t,I) values will be as follows:
The domain is the set of all x or t values in order form the smallest to largest. Thus, the domain is
The range is the set of all y or I values in order form the smallest to largest. Thus, the range is
c.
To justify: if this relation is a function or not.
c.
Answer to Problem 34E
The relation is a function.
Explanation of Solution
Given information:
Calculation:
Since, there is only one value of y for a particular value of x. That is, no two ordered pairs have same first element. Thus, this relation is a function.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (3rd Edition)
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