Question

Set up the system of equations and then solve it by using an inverse matrix. A...

Set up the system of equations and then solve it by using an inverse matrix.

A trust account manager has $2,000,000 to be invested in three different accounts. The accounts pay 6%, 8%, and 10%, and the goal is to earn $168,000 with the amount invested at 10% equal to the sum of the other two investments. To accomplish this, assume that x dollars are invested at 8%, y dollars at 10%, and z dollars at 6%. Find how much should be invested in each account to satisfy the conditions.

8% rate     $
10% rate     $
6% rate     $
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Solve the system of equations by using the inverse of the coefficient matrix. { ? +...
Solve the system of equations by using the inverse of the coefficient matrix. { ? + ? − ? = 0 3? − ? = −8 2? − 3? + 4? = −6
Set up the system of equations and then solve it by using an inverse matrix. A...
Set up the system of equations and then solve it by using an inverse matrix. A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. Deluxe Premium Ultimate Painting 1.6 2 2.4 Assembly 2 3 4 Packaging 0.5 0.5 1 (a) If the manufacturer has 96 hours available per day...
Use an inverse matrix to solve (if possible) the system of linear equations. (If there is...
Use an inverse matrix to solve (if possible) the system of linear equations. (If there is no solution, enter NO SOLUTION.) 4x − 2y + 3z = −16 2x + 2y + 5z = −30 8x − 5y − 2z = 30
Solve the system of equations using an inverse matrix -4x-2y+z= 6 -x-y-2z= -3 2x+3y-z= -4 Choose...
Solve the system of equations using an inverse matrix -4x-2y+z= 6 -x-y-2z= -3 2x+3y-z= -4 Choose one: a. (-1, 0, -2) b. (1, 0, -2) c. (1, 0, 2) d. (-1, 0, 2)
Solve the following system of equations by using the inverse of the coefficient matrix. 7x?y+4z=?3 ?3y+8z=?20...
Solve the following system of equations by using the inverse of the coefficient matrix. 7x?y+4z=?3 ?3y+8z=?20 -2x+4y+5z=-42
use matrix manipulation to solve for a, b, and c. Set up a matrix equation for...
use matrix manipulation to solve for a, b, and c. Set up a matrix equation for AX=B based on the system of equations below, where X is a matrix of the variables a, b and c. Then, use Gauss-Jordan elimination to find the inverse of A. Finally, use your results to write the equation of the parabola. Show your work and final equation in the space provided. 9a+3b+c=8 , 25a+5b+c=20/3, 36a+6b+c=5
Write the system of equations as an augmented matrix. Then solve the system by putting the...
Write the system of equations as an augmented matrix. Then solve the system by putting the matrix in reduced row echelon form. x+2y−z=-10 2x−3y+2z=2 x+y+3z=0
Solve system of equations using matrices. Make a 4x4 matrix and get the diagonal to be...
Solve system of equations using matrices. Make a 4x4 matrix and get the diagonal to be ones and the rest of the numbers to be zeros 2x -3y + z + w = - 4 -x + y + 2z + w = 3 y -3z + 2w = - 5 2x + 2y -z -w = - 4
Solve the system of linear equations. If the system has an infinite number of solutions, set...
Solve the system of linear equations. If the system has an infinite number of solutions, set w = t and solve for x, y, and z in terms of t.) x + y + z + w = 6 2x+3y -      w=6 -3x +4y +z + 2w= -1 x + 2y - z + w = 0 x, y, z, w=?
4. Solve the system of linear equations by using the Gauss-Jordan (Matrix) Elimination Method. No credit...
4. Solve the system of linear equations by using the Gauss-Jordan (Matrix) Elimination Method. No credit in use any other method. Use exactly the notation we used in class and in the text. Indicate whether the system has a unique solution, no solution, or infinitely many solutions. In the latter case, present the solutions in parametric form. 3x + 6y + 3z = -6 -2x -3y -z = 1 x +2y + z = -2
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT