linear algebra, math homework help

attached 8 questions have to be answered within 6 hours.

Name:
Math 35
Spring 2017
Monday 4/3
Math 35 Exam # 2
Take-home Portion
Due Monday 4/17/17 – No exceptions
1)
Solve the system.
3x + 3z = 18 – 4y
7x – 5z = 26 + 2y
4x = 35 – Z
2x
2)
Use matrices to solve the system of equations.
S5x – 4y = 30
1 x – 7y = 6
3)
Evaluate the determinant.
1 5 1
-5 1 -2
1 1 1
7) An artist makes three types of ceramic statues (large, medium, and small) at a monthly
cost of $930 for 200 statues. The manufacturing costs for the three types are$6, $5, and $4. If
the statues sell for $22, $14, and $11, respectively, how many of each type should be made to
produce $2,740 in monthly revenue?
small
medium
large
Total
Number
Manufacturing
Cost
Revenue
8) In 2009, two tickets to a certain American band’s concert and two tickets to a certain
British band’s concert cost, on average, a total of $576. At those prices, four tickets to see this
American band and two tickets to see this British band cost $838. What was the average cost of
these American and British band tickets in 2009?
4)
Use matrices to solve the system of equations.
3x + y – 32 = 8
x – 2y + 4z = 24
x + y + z = 24
moto
BE
5)
Use Cramer’s rule to solve the system of equations.
S2x + 3y = 38
(3x + 2y = 47
6)
A retired couple invested part of $11,600 at 6% interest and the rest at 7.5%. If
their annual income from these investments is $777, how much was invested at each rate?
6% investment
7.5% investment
Total
Principal
Rate
time
Interest