SOLUTION: 12. Using matrix calculations, solve the following problem.
A total of $75,000 is invested in three funds paying 6%, 8%, and 10% simple interest. The yearly interest is $6400. Tw
Algebra.Com
Question 548808: 12. Using matrix calculations, solve the following problem.
A total of $75,000 is invested in three funds paying 6%, 8%, and 10% simple interest. The yearly interest is $6400. Twice as much money is invested at 10% as is invested at 6%. How much is invested in each of the funds.
a. set up the 3 linear equations in 3 variables
Show the 3 linear equations
b. put the coefficients into an augmented matrix
c. solve the matrix using any method you like
Put the solution in the box.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using matrix calculations, solve the following problem.
A total of $75,000 is invested in three funds paying 6%, 8%, and 10% simple interest. The yearly interest is $6400. Twice as much money is invested at 10% as is invested at 6%. How much is invested in each of the funds.
a. set up the 3 linear equations in 3 variables
Show the 3 linear equations
s + e + t = 75,000
6s + 8e + 10t = 640000
2s + 0e - t = 0
==========
b. put the coefficients into an augmented matrix
1.....1.....1.....75000
6.....8....10.....640000
2.....0....-1.....0
==================================
c. solve the matrix using any method you like
Put the solution in the box.
s = 20000
e = 15000
t = 40000
==========
Cheers,
Stan H.
RELATED QUESTIONS
using matrix calculations the question is as follows
A total of $ 50,000 is invested in... (answered by stanbon)
Using matrix calculations, solve the following problem. Show Your Work.
A total of... (answered by stanbon)
Create coefficient matrix and augmented matrix for the following:
A total of $25,000 is... (answered by ewatrrr)
John received an inheritance of $12,000$12,000 that he divided into three parts
and... (answered by Boreal)
A total of $50,000 is invested in two funds paying 8% and 8.5% simple interest. The... (answered by Mathtut,checkley77,solver91311)
A total of $25,000 is invested in two funds paying 6% and 6.5% simple interest. The... (answered by richwmiller)
A total of $11,000 is invested in two funds paying 7% and 8% simple interest. If the... (answered by mananth)
Could you please help me solve this problem?-
A total of 10,000 is invested in two funds (answered by MathLover1)
A total of $20,000 is invested in two funds paying 6% and 8% annual interest. The... (answered by ewatrrr)