For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Sylvia invested a total of $ 40 , 000 . She invested part of the money in a certificate of deposit (CD) that earns 2 % simple interest per year. She invested in a stock that returns the equivalent of 8 % simple interest, and she invested in a bond fund that returns 5 % . She invested twice as much in the stock as she did in the CD, and earned a total of $ 2300 at the end of 1 yr . How much principal did she put in each investment?
For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Sylvia invested a total of $ 40 , 000 . She invested part of the money in a certificate of deposit (CD) that earns 2 % simple interest per year. She invested in a stock that returns the equivalent of 8 % simple interest, and she invested in a bond fund that returns 5 % . She invested twice as much in the stock as she did in the CD, and earned a total of $ 2300 at the end of 1 yr . How much principal did she put in each investment?
For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination.
Sylvia invested a total of
$
40
,
000
. She invested part of the money in a certificate of deposit (CD) that earns
2
%
simple interest per year. She invested in a stock that returns the equivalent of
8
%
simple interest, and she invested in a bond fund that returns
5
%
. She invested twice as much in the stock as she did in the CD, and earned a total of
$
2300
at the end of
1
yr
. How much principal did she put in each investment?
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.