(a) To determine To calculate: The investment in each type of bond (AAA, A, B) to have an interest income of $1810. Explanation Given: The average yield is 6% on AAA bonds, 7% on A bonds, and 10% on B bonds and investor invested twice as much in AAA bonds as in B bonds. The investor invested a total of $25,000. Calculation: Consider $ x invested in AAA, $ y invested in A and $ z invested in B. As the investor invested a total of $25,000. Hence: x + y + z = 25000 …...…... (1) As the average yield is 6% on AAA bonds, 7% on A bonds, and 10% on B bonds and the amount in return will be $1810, Hence: 0.06 x + 0.07 y + 0.10 z = 1810 …...…... (2) As investor invested twice as much in AAA bonds as in B bonds, Hence: x = 2 z That is: x − 2 z = 0 …...…... (3) Therefore, the system of equation (1) (2) and (3) can be written in the matrix form as: [ 1 1 1 0.06 0.07 0.10 1 0 − 2 ] [ x y z ] = [ 25000 1810 0 ] Therefore, the corresponding augmented matrix is: A ¯ = [ 1 1 1 25000 0 (b) To determine To calculate: The investment in each type of bond (AAA, A, B) to have an interest income of $2150. (c) To determine To calculate: The investment in each type of bond (AAA, A, B) to have an interest income of $2900.

Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (11th Edition)

11th Edition

ISBN: 9780321935441

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 6.3, Problem 23E

(a)

To determine

To calculate: The investment in each type of bond (AAA, A, B) to have an interest income of $1810.

(b)

To determine

To calculate: The investment in each type of bond (AAA, A, B) to have an interest income of $2150.

(c)

To determine

To calculate: The investment in each type of bond (AAA, A, B) to have an interest income of $2900.

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Chapter 6.3, Problem 22E

Chapter 6.3, Problem 24E

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Mathematics with Applications In the Management, Natural, and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (11th Edition)

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

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