A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The investor wants an annual interest income of $775 from the investments. What amount should be invested in the 3.5% bond?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The investor
wants an annual interest income of $775 from the investments. What amount should be invested in the 3.5%
bond?
Step 1
Let x = amount of money invested at 3.5%.
Let y = amount of money invested at 5%.
We know'that a total of $20,000 is invested in both the bonds. Therefore,
x + y = 20000
A 20,000
The annual interest income should be $775 from the investments. Therefore,
0.035
0.035 x + 0.05y = 775
775
Step 2
The system of equatiors is as follows.
y = 20,000
0.035x + 0.05y = 775
Equation 1
Equation 2
x +
First solve Equation 1 for x in terms of y.
Submit
Skip (you cannot come back)
Transcribed Image Text:A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The investor wants an annual interest income of $775 from the investments. What amount should be invested in the 3.5% bond? Step 1 Let x = amount of money invested at 3.5%. Let y = amount of money invested at 5%. We know'that a total of $20,000 is invested in both the bonds. Therefore, x + y = 20000 A 20,000 The annual interest income should be $775 from the investments. Therefore, 0.035 0.035 x + 0.05y = 775 775 Step 2 The system of equatiors is as follows. y = 20,000 0.035x + 0.05y = 775 Equation 1 Equation 2 x + First solve Equation 1 for x in terms of y. Submit Skip (you cannot come back)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill