a) For the context below, define a set of 3 variables, write an appropriate system of equations, and write the system in a matrix form. b) Solve the matrix system by a method of your choice and interpret your answer in the context of the problem. Jaylen invested $8000 in three different mutual funds. One fund containing large cap stocks made 6.2% return in a given year. A real estate fund lost 13.5% in that same year, and a bond fund made 4.4% that year. The amount invested in the large cap stock fund was twice the amount invested in the real estate fund. If Devon had a net return of $66 across all investments, how much did he invest in each fund?
a) For the context below, define a set of 3 variables, write an appropriate system of equations, and write the system in a matrix form. b) Solve the matrix system by a method of your choice and interpret your answer in the context of the problem. Jaylen invested $8000 in three different mutual funds. One fund containing large cap stocks made 6.2% return in a given year. A real estate fund lost 13.5% in that same year, and a bond fund made 4.4% that year. The amount invested in the large cap stock fund was twice the amount invested in the real estate fund. If Devon had a net return of $66 across all investments, how much did he invest in each fund?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
Related questions
Question
please write or type answers neatly.
![a) For the context below, define a set of 3 variables, write an
appropriate system of equations, and write the system in a matrix
form.
b) Solve the matrix system by a method of your choice and interpret
your answer in the context of the problem.
Jaylen invested $8000 in three different mutual funds. One fund
containing large cap stocks made 6.2% return in a given year. A real
estate fund lost 13.5% in that same year, and a bond fund made 4.4%
that year. The amount invested in the large cap stock fund was twice the
amount invested in the real estate fund.
If Devon had a net return of $66 across all investments, how much did
he invest in each fund?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdba5689-bc14-44c2-a025-6db7a798c6e6%2Ff52a19e3-8095-4338-9119-eddcc5f14216%2Fgciarpu_processed.png&w=3840&q=75)
Transcribed Image Text:a) For the context below, define a set of 3 variables, write an
appropriate system of equations, and write the system in a matrix
form.
b) Solve the matrix system by a method of your choice and interpret
your answer in the context of the problem.
Jaylen invested $8000 in three different mutual funds. One fund
containing large cap stocks made 6.2% return in a given year. A real
estate fund lost 13.5% in that same year, and a bond fund made 4.4%
that year. The amount invested in the large cap stock fund was twice the
amount invested in the real estate fund.
If Devon had a net return of $66 across all investments, how much did
he invest in each fund?
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