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
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please write or type everything neatly.
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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