Solve the following system of equations using the Substitution
Method.
1.x + 3y = – 2
5x + 15y = 0
2. x – 4y = 10
3x – 2y = 10
3. 4a + 7b = 54
2a – 3b = 14
4. 2x – 3y = 1
8x – 12y = 4
5. 3x + 4y = 12
6x + 8y = 24
6. 2a – 5b = 10
3a – b = 2
In: Math
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
| Customer | Amount of Tip | Amount of Bill | Number of Diners | Customer | Amount of Tip | Amount of Bill | Number of Diners | |||||||||
| 1 | $ | 7.35 | $ | 60.83 | 4 | 16 | $ | 3.30 | $ | 23.59 | 2 | |||||
| 2 | 4.50 | 28.23 | 4 | 17 | 3.50 | 22.30 | 2 | |||||||||
| 3 | 1.00 | 10.65 | 1 | 18 | 3.25 | 32.00 | 2 | |||||||||
| 4 | 2.40 | 19.82 | 3 | 19 | 5.40 | 50.02 | 4 | |||||||||
| 5 | 5.00 | 28.62 | 3 | 20 | 2.25 | 17.60 | 3 | |||||||||
| 6 | 4.25 | 24.83 | 2 | 21 | 1.25 | 45.60 | 1 | |||||||||
| 7 | .50 | 6.25 | 1 | 22 | 3.00 | 20.27 | 2 | |||||||||
| 8 | 6.00 | 49.20 | 4 | 23 | 1.25 | 19.53 | 2 | |||||||||
| 9 | 5.00 | 43.26 | 3 | 24 | 3.25 | 27.03 | 3 | |||||||||
| 10 | 3.80 | 65.45 | 1 | 25 | 3.00 | 21.28 | 2 | |||||||||
| 11 | 6.10 | 71.61 | 1 | 26 | 6.25 | 43.38 | 4 | |||||||||
| 12 | 6.00 | 34.99 | 3 | 27 | 5.60 | 28.12 | 4 | |||||||||
| 13 | 4.00 | 33.91 | 4 | 28 | 2.50 | 26.25 | 2 | |||||||||
| 14 | 3.35 | 23.06 | 2 | 29 | 8.60 | 63.90 | 3 | |||||||||
| 15 | .75 | 4.65 | 1 | 30 | 9.30 | 62.63 | 6 | |||||||||
Click here for the Excel Data File
a-1. Develop a multiple regression equation with the amount of tips as the dependent variable and the amount of the bill and the number of diners as independent variables and complete the table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
a-2. Write out the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
a-3. How much does another diner add to the amount of the tips? (Round your answer to 2 decimal places.)
b. What is your decision regarding the null-hypothesis?
c-1. Conduct an individual test on each of the variables. What is the decision rule at the 0.05 level of significance? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
c-2. Which variable should be deleted?
ev: 10_17_2017_QC_CS-102203
In: Statistics and Probability
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In: Statistics and Probability
Assume that you are the manager of a shop that assembles power tools. You have just received an order for 50 chain saws, which are to be shipped at the start of week 8. Pertinent information on the saws is
| Item | Lead Time (weeks) | On Hand | Components | |||
| Saw | 2 | 15 | A(2), B(1), C(4) | |||
| A | 1 | 10 | E(3), D(1) | |||
| B | 2 | 5 | D(2), F(3) | |||
| C | 2 | 65 | E(2), D(2) | |||
| D | 1 | 20 | ||||
| E | 1 | 10 | ||||
| F | 2 | 30 | ||||
b. Develop the material requirements plan for
component E using lot-for-lot ordering. (Leave no cells
blank - be certain to enter "0" wherever required.)
| Item: E(3) & E(2) LT = 1 wk. | Beg. Inv. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Gross requirements | |||||||||
| Scheduled receipts | |||||||||
| Projected on hand | |||||||||
| Net requirements | |||||||||
| Planned order receipt | |||||||||
| Planned order release | |||||||||
In: Statistics and Probability
Problem 12-9
Assume that you are the manager of a shop that assembles power
tools. You have just received an order for 60 chain saws, which are
to be shipped at the start of week 8. Pertinent information on the
saws is
| Item | Lead Time (weeks) | On Hand | Components | |
| Saw | 2 | 15 | A(2), B(1), C(4) | |
| A | 1 | 10 | E(3), D(1) | |
| B | 2 | 5 | D(2), F(3) | |
| C | 2 | 65 | E(2), D(2) | |
| D | 1 | 20 | ||
| E | 1 | 10 | ||
| F | 2 | 30 | ||
Develop the material requirements plan for component E using
lot-for-lot ordering. (Leave no cells blank - be certain to
enter "0" wherever required.)
| Item: E(3) & E(2) LT = 1 wk. | Beg. Inv. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Gross requirements | |||||||||
| Scheduled receipts | |||||||||
| Projected on hand | |||||||||
| Net requirements | |||||||||
| Planned order receipt | |||||||||
| Planned order release | |||||||||
In: Operations Management
Assume that you are the manager of a shop that assembles power
tools. You have just received an order for 59 chain saws, which are
to be shipped at the start of week 8. Pertinent information on the
saws is
| Item | Lead Time (weeks) | On Hand | Components | |
| Saw | 2 | 15 | A(2), B(1), C(4) | |
| A | 1 | 10 | E(3), D(1) | |
| B | 2 | 5 | D(2), F(3) | |
| C | 2 | 65 | E(2), D(2) | |
| D | 1 | 20 | ||
| E | 1 | 10 | ||
| F | 2 | 30 | ||
Develop the material requirements plan for component E using
lot-for-lot ordering. (Leave no cells blank - be certain to
enter "0" wherever required.)
| Item: E(3) & E(2) LT = 1 wk. | Beg. Inv. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Gross requirements | |||||||||
| Scheduled receipts | |||||||||
| Projected on hand | |||||||||
| Net requirements | |||||||||
| Planned order receipt | |||||||||
| Planned order release | |||||||||
In: Operations Management
Assume that you are the manager of a shop that assembles power tools. You have just received an order for 59 chain saws, which are to be shipped at the start of week 8. Pertinent information on the saws is
| Item | Lead Time (weeks) | On Hand | Components |
| Saw | 2 | 15 | A(2), B(1), C(4) |
| A | 1 | 10 | E(3), D(1) |
| B | 2 | 5 | D(2), F(3) |
| C | 2 | 65 | E(2), D(2) |
| D | 1 | 20 | |
| E | 1 | 10 | |
| F | 2 | 30 | |
| a. | Develop the material requirements plan for component E using lot-for-lot ordering. (Leave no cells blank - be certain to enter "0" wherever required.) |
| Item: E(3) & E(2) LT = 1 wk. | Beg. Inv. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Gross requirements | |||||||||
| Scheduled receipts | |||||||||
| Projected on hand | |||||||||
| Net requirements | |||||||||
| Planned order receipt | |||||||||
| Planned order release | |||||||||
In: Operations Management
The Fibonacci Sequence is a series of integers. The first two numbers in the sequence are both 1; after that, each number is the sum of the preceding two numbers.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
For example, 1+1=2, 1+2=3, 2+3=5, 3+5=8, etc.
The nth Fibonacci number is the nth number in this sequence, so for example fibonacci(1)=1, fibonacci(2)=1, fibonacci(3)=2, fibonacci(4)=3, etc. Do not use zero-based counting; fibonacci(4)is 3, not 5.
Your assignment is to write an ARM assembler code (Fibonacci.s) that prompts the user for the nth term of the fibonacci sequence. The program will then calculate the users selected nth fibonacci term and print it out.
The program should produce this input:
Enter the desired Fibonacci term: 6
The 6th Fibonacci number is: 8
In: Computer Science
A B C D E 1. Six identical Physics books, each with mass 2.0 kg, are taken to the Moon. On the Moon, their combined mass is a) zero, b) 2.0 kg, c) 6.0 kg, d) 12 kg.
A B C D E 2. According to Newton's Law of Gravitation, if the distance between two bodies is doubled the attractive force between them is a) increased
by a factor of 2, b) decreased by a factor of 1/2, c) increased by a factor of 4, d) decreased by a factor of ¼
PROBLEMS, If your answer differs by a little bit in the last digit, remember that the answers here may have been rounded off
|
A B C D E 3. |
An object weighs 20 newtons on Earth. What is its approximate mass? a) 2kg, b) 20g, c) 10kg , d) 196kg, e) 640kg |
A B C D E 4. The kinetic energy of a body is correctly given by which of the following expressions? a) mv, b) 2mv^2, c) mv^2, d) (1/2)mv^2, e) (1/2)mv.
A B C D E 5. If the speed of a car is doubled, the work to stop the car changes by a factor of a) 4, b) 2, c) 1, d) 1/2, e) 1/4.
A B C D E 6. A ball is traveling at a constant speed of 5 m/s in a circle with a radius of 1.2 m. What is the centripetal acceleration of the ball in m/s^2)? a) 4.17, b) 6.2, c) 20.8, d) 60, e) none of the above.
In: Physics
#2. Farmer Brown sold the mineral rights on his farm to Exxon Corporation in exchange for payments of $14,000 per year in perpetuity. Using a discount rate of 6.5 percent, compute the present value of this arrangement
#3. Investment X has the following projected cash flows over the next four years:
|
Year |
Amount |
|
1 |
$5700 |
|
2 |
$4900 |
|
3 |
$4300 |
|
4 |
$2000 |
If the opportunity cost for an investment of this level of risk is 9.1%, what is the most that you should be willing to pay for it?
#4. An investment promises cash inflows in years 1, 2, 3 and 4 of $5,218, $5,303, $15,870, and $17,604 respectively. If your required rate of return is 6.7%, what is the present value of the cash inflows for this project? (to the nearest dollar)
#5. An investment promises cash flows in years 1, 2, and 3 of $39,000. In years 4 and 5, it will pay $61,000. If your required rate of return is 9.4 percent, what is that worth today?
#6. Using a discount rate of 5.7 percent, compute the present value of the following cash flows to the nearest dollar:
|
Year |
Cash Flow |
|
1 |
$8,613 |
|
2 |
$9,169 |
|
3 |
$15,300 |
|
4 |
$19,344 |
|
5 |
$9,378 |
In: Finance