Lily borrowed a total of $ 10 , 000 . She borrowed part of the money from her friend Sly who did not charge her interest. She borrowed part of the money from a credit union at 5 % simple interest, and she borrowed the rest of the money from a bank at 7.5 % interest At the end of 1 yr, she owed $ 500 in interest If she borrowed $ 1000 less from her friend than she did from the bank, determine how much she borrowed from each source.
Lily borrowed a total of $ 10 , 000 . She borrowed part of the money from her friend Sly who did not charge her interest. She borrowed part of the money from a credit union at 5 % simple interest, and she borrowed the rest of the money from a bank at 7.5 % interest At the end of 1 yr, she owed $ 500 in interest If she borrowed $ 1000 less from her friend than she did from the bank, determine how much she borrowed from each source.
Solution Summary: The author calculates the amount borrowed from each source by Lilly, if she borrowed 10,000 and 1000 less from her friend than from a bank.
Lily borrowed a total of
$
10
,
000
. She borrowed part of the money from her friend Sly who did not charge her interest. She borrowed part of the money from a credit union at
5
%
simple interest, and she borrowed the rest of the money from a bank at
7.5
%
interest At the end of
1
yr, she owed
$
500
in interest If she borrowed
$
1000
less from her friend than she did from the bank, determine how much she borrowed from each source.
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)
Elementary Statistics: Picturing the World (7th Edition)
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