You have $30,000 to invest. You will invest M dollars in municipal bonds and T dollars in Treasury notes. For security, your financial advisor recommends that you invest twice as much in Treasury notes as you invest in municipal bonds. (a) Write a system of equations that will determine how much to invest in each category. (Suggestion: One equation should show the total amount invested. The second equation should show that twice as much is invested in Treasury notes as in municipal bonds.) M+ T = 30,000 T = 2 )M (b) Solve the system of equations in part (a) to determine how much is invested in each category. municipal bonds $ X Treasury notes $ Enter an exact number.
You have $30,000 to invest. You will invest M dollars in municipal bonds and T dollars in Treasury notes. For security, your financial advisor recommends that you invest twice as much in Treasury notes as you invest in municipal bonds. (a) Write a system of equations that will determine how much to invest in each category. (Suggestion: One equation should show the total amount invested. The second equation should show that twice as much is invested in Treasury notes as in municipal bonds.) M+ T = 30,000 T = 2 )M (b) Solve the system of equations in part (a) to determine how much is invested in each category. municipal bonds $ X Treasury notes $ Enter an exact number.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:You have $30,000 to invest. You will invest M dollars in municipal bonds and T dollars in Treasury notes. For security, your financial advisor recommends that you invest twice as much in Treasury
notes as you invest in municipal bonds.
(a) Write a system of equations that will determine how much to invest in each category. (Suggestion: One equation should show the total amount invested. The second equation should show that
twice as much is invested in Treasury notes as in municipal bonds.)
M + T = 30,000
T = 2
M
(b) Solve the system of equations in part (a) to determine how much is invested in each category.
municipal bonds $
Treasury notes
S
X
Enter an exact number.
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