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Ch 3.3 Type 2
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Math 1330 Spring 2018, section 026, Spring 2018 >> My Assignments
Ch 3.3 Type 2 (Homework)
Ryan Bain
Math 1330 Spring 2018, section 026, Spring 2018
Instructor: Isuru Dassanayake
Current Score : -/4
Due : Friday, March 23 2018 11:59 PM CDT
Extension Requests
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Question
1
2
3
4
Total
-1 -11 -11 11
-4 (0.0%)
Points
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
-11 points HarMathAp 11 3.3.049.
My Notes Ask Your Teacher
A preschool has Campbell’s Chunky Beef soup, which contains 2.5 g of fat and 15 mg of cholesterol per serving (cup), and Campbell’s Chunky Sirloin Burger soup, which contains 7 g of fat and 15 mg
of cholesterol per serving. By combining the soups, it is possible to get 30 servings of soup that will have 138 g of fat and 450 mg of cholesterol. How many cups of each soup should be used?
beef
cups
burger
cups
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2.
-11 points HarMathAp11 3.3.051.
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A man has $210,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $20,200 and the amount invested at 8% is twice that invested at
12%.
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Ch 3.3 Type 2
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-1 points HarMathAp 11 3.3.051.
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A man has $210,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $20,200 and the amount invested at 8% is twice that invested at
12%.
(a) How much is invested in each property?
12% property $
10% property $
8% property $
(b) What is the annual income from each property?
12% property $
10% property $
8% property $
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3.
-11 points HarMathAp 11 3.3.053.
A car rental agency in a major city has a total of 5000 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are
shown in the table (note that Airport means Metropolis Airport).
Rented from
Returned to
AP
DT
CA
Airport (AP)
90%
10%
10%
Downtown (DT)
5%
80%
5%
At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week and hence at the start of the next week)?
AP
cars
DT
cars
CA
cars
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Ch 3.3 Type 2
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-1 points HarMathAp 11 3.3.065.
+
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An investment club has set a goal of earning 15% on the money they invest in stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and their
projected growth per share (in dollars) summarized in the table. (Let x = computer shares, y = utility shares, and z = retail shares.)
Stocks
Computer (x) Utility (y) Retail (2)
Cost/share
30
44
26
Growth/share
6.00
6.00
2.40
(a) If they have $392,000 to invest, how many shares of each stock should they buy to meet their goal? (If there are infinitely many solutions, express your answers in terms of z as in
Example 3.)
(x, y, z) =
(b) If they buy 700 shares of retail stock, how many shares of the other stocks do they buy?
computer
shares
utility
shares
What if they buy 1400 shares of retail stock?
computer
shares
utility
shares
(c) What is the minimum number of shares of computer stock they will buy?
shares
What is the number of shares of the other stocks in this case?
utility
shares
retail
shares
(d) What is the maximum number of shares of computer stock purchased?
shares
What is the number of shares of the other stocks in this case?
utility
shares
retail
shares
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Ch 3.4 Type 2
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Math 1330 Spring 2018, section 026, Spring 2018 >> My Assignments
Ch 3.4 Type 2 (Homework)
Ryan Bain
Math 1330 Spring 2018, section 026, Spring 2018
Instructor: Isuru Dassanayake
Current Score :-/3
Due : Friday, March 23 2018 11:59 PM CDT
Extension Requests
Print Assignment
Question
1
2
3
Total
-1 -11 -11
-13 (0.0%)
Points
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
-11 points HarMathAp 11 3.4.055.
My Notes
Ask Your Teacher
Set up the system of equations and then solve it by using an inverse matrix.
One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman has $148,000 to invest and would like to have an income of $20,000 per year from her
investments. How much should she invest at each rate?
10% rate $
18% rate
$
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2.
+ -11 points HarMathAp 11 3.4.057.
Set up the system of equations and then solve it by using an inverse matrix.
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Ch 3.4 Type 2
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-11 points HarMathAp 11 3.4.057.
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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, which 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
2
3
4
Assembly
Packaging
0.5
0.5
1
(a) If the manufacturer has 96 hours available per day for painting, 154 hours for assembly, and 37 hours for packaging, how many of each type of saw can be produced each day?
Deluxe
saws
Premium
saws
Ultimate
saws
(b) If 8 more hours of painting time become available, find the new production strategy.
Deluxe
saws
Premium
saws
Ultimate
saws
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– 1 points HarMathAp 113.4.059.
Set up the system of equations and then solve it by using an inverse matrix.
A trust account manager has $1,000,000 to be invested in three different accounts. The accounts pay 6%, 8%, and 10%, and the goal is to earn $84,000 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.
6% rate
$
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