19. An investor plans to invest $40,000 in a T-bill, in a mutual fund, and in corporate bonds. She plans to put as much in the bonds as the amount she puts in the T-bill plus the mutual fund together. She expects the T-bill to pay a 4% interest, the mutual fund 5% interest, and the bonds 6% interest. She would like her interest income to be $3,200. How much should she put in each of the three investments? Write a system of equations and solve using matrices. Let x = amount in the T – bill Let y = amount in the mutual fund Let z = amount in bonds | A B= X=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
Problem 30PPS
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19. An investor plans to invest $40,000 in a T-bill, in a mutual fund, and in corporate bonds. She plans
to put as much in the bonds as the amount she puts in the T-bill plus the mutual fund together. She
expects the T-bill to pay a 4% interest, the mutual fund 5% interest, and the bonds 6% interest. She
would like her interest income to be $3,200. How much should she put in each of the three
investments?
Write a system of equations and solve using matrices.
Let x = amount in the T – bill
Let y = amount in the mutual fund
Let z = amount in bonds
A
B=
X=
Transcribed Image Text:19. An investor plans to invest $40,000 in a T-bill, in a mutual fund, and in corporate bonds. She plans to put as much in the bonds as the amount she puts in the T-bill plus the mutual fund together. She expects the T-bill to pay a 4% interest, the mutual fund 5% interest, and the bonds 6% interest. She would like her interest income to be $3,200. How much should she put in each of the three investments? Write a system of equations and solve using matrices. Let x = amount in the T – bill Let y = amount in the mutual fund Let z = amount in bonds A B= X=
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