Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 9, Problem 8AT
To determine
To calculate: Each counter employee’s total gross earnings for the week if Foremost fish market pays a straight commission of
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
Chapter 9 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 9.I - An executive of a large manufacturing company...Ch. 9.I - Rick Morton works as a delivery truck driver for...Ch. 9.I - George Lopez works at a tire manufacturing plant....Ch. 9.I - You are the payroll manager for Trendy Toys, Inc.,...Ch. 9.I - Alexa Walsh sells for Supreme Designs, a...Ch. 9.I - Mike Lamb sells copiers for Royal Business...Ch. 9.I - Ed Diamond is a sales representative for Jersey...Ch. 9.I - Howard Lockwood sells for Catalina Designs, Inc....Ch. 9.I - Calculate the gross earnings per pay period for...Ch. 9.I - Calculate the gross earnings per day period for...
Ch. 9.I - Calculate the gross earnings per pay period for...Ch. 9.I - Calculate the gross earnings per day period for...Ch. 9.I - Prob. 5RECh. 9.I - Calculate the gross earnings per pay period for...Ch. 9.I - Prob. 7RECh. 9.I - Mary Jo Prenaris is an office manager with gross...Ch. 9.I - 9. Deb O’Connell is an accounting professional...Ch. 9.I - 10. Jennifer Brunner works 40 hours per week as a...Ch. 9.I - 11. Alan Kimball earns $22.34 per hour as a...Ch. 9.I - 12. Paul Curcio earns $8.25 per hour for regular...Ch. 9.I - Prob. 13RECh. 9.I - As the payroll manager for Stargate Industries,...Ch. 9.I - Prob. 15RECh. 9.I - As the payroll manager for Stargate Industries,...Ch. 9.I - Prob. 17RECh. 9.I - Calculate last week’s total gross pay for each of...Ch. 9.I - Prob. 19RECh. 9.I - Prob. 20RECh. 9.I - 21. Katrina Byrd assembles motor mounts for C-207...Ch. 9.I - 22. Bob Farrell works for a company that...Ch. 9.I - 23. What is the total gross pay for a salesperson...Ch. 9.I - Pamela Mello is paid on an incremental commission...Ch. 9.I - Dory Schrader is a buyer for Oceans of Notions....Ch. 9.I - Thomas Rendells company pays him a straight 6%...Ch. 9.I - 27. Katie Jergens works for Dynamic Designs...Ch. 9.I - 28. Jerry King is a server in a restaurant that...Ch. 9.II - What are the withholdings for social security and...Ch. 9.II - Rick Nicotera has year-to-date earnings of...Ch. 9.II - Jan McMillan is married, claims five exemptions,...Ch. 9.II - Using the combined wage bracket tables, what is...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - Use the percentage method of income tax...Ch. 9.II - Use the percentage method of income tax...Ch. 9.II - Prob. 11RECh. 9.II - Use the percentage method of income tax...Ch. 9.II - Use the combined wage bracket tables, Exhibits 9-3...Ch. 9.II - Use the combined wage bracket tables, Exhibits 9-3...Ch. 9.II - Use the combined wage bracket tables, Exhibits 9-3...Ch. 9.II - Marital Withholding Gross Combined Employee Status...Ch. 9.II - Prob. 17RECh. 9.II - ...Ch. 9.II - Marital Withholding Gross Combined Employee Status...Ch. 9.III - Big Pine Tree Service has 18 employees, 12 with...Ch. 9.III - Les Roberts, a self-employed commercial artist,...Ch. 9.III - Prob. 15TIECh. 9.III - Prob. 16TIECh. 9.III - Prob. 17TIECh. 9.III - Prob. 1RECh. 9.III - Prob. 2RECh. 9.III - 3. Arrow Asphalt & Paving Company has 24...Ch. 9.III - What are the social security and Medicare taxes...Ch. 9.III - 5. What are the social security and Medicare taxes...Ch. 9.III - Lee Sutherlin is a self-employed electrical...Ch. 9.III - Prob. 7RECh. 9.III - Prob. 8RECh. 9.III - Prob. 9RECh. 9.III - 10. Amazon Appliance Company has three installers....Ch. 9.III - Jiffy Janitorial Service employs 48 workers and...Ch. 9.III - North Beach Limousine Service employs 166 workers...Ch. 9.III - Marc Batchelor, a self-employed sales consultant,...Ch. 9 - Gross pay is the amount of earnings before payroll...Ch. 9 - 2. Annual salaries are commonly prorated to be...Ch. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - 6. A draw against commission is commission paid in...Ch. 9 - Prob. 7CRCh. 9 - Prob. 8CRCh. 9 - In addition to social security and Medicare tax...Ch. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - Prob. 12CRCh. 9 - A plan whereby employees are given a menu of...Ch. 9 - Prob. 14CRCh. 9 - 1. Bill Pearson earns $2,800 semimonthly as a...Ch. 9 - 2. Barbara Sultan works 40 hours per week as a...Ch. 9 - Eric Shotwells company pays him $18.92 per hour...Ch. 9 - 4. Mitch Anderson is a security guard. He earns...Ch. 9 - 5. Fergie Nelson assembles toasters for the Gold...Ch. 9 - Prob. 6ATCh. 9 - Calculate the gross earnings for the following...Ch. 9 - Prob. 8ATCh. 9 - Calculate the gross earnings for the following...Ch. 9 - Prob. 10ATCh. 9 - Calculate the gross earnings for the following...Ch. 9 - Calculate the gross earnings for the following...Ch. 9 - Solve the following problems using 6.2% up to...Ch. 9 - Solve the following problems using 6.2% up to...Ch. 9 - Use the percentage method to solve the...Ch. 9 - Use the combined wage bracket tables. Exhibits 9-3...Ch. 9 - Use the combined wage bracket tables. Exhibits 9-3...Ch. 9 - Prob. 18ATCh. 9 - Prob. 19ATCh. 9 - 20. Paul Warren is a self-employed mechanic. Last...Ch. 9 - Tim Ries earns $48,320 annually as a supervisor...Ch. 9 - 22. Universal Exporting has three warehouse...Ch. 9 - Sky High Crane Company employs 150 workers and has...Ch. 9 - 24. Ransford Alda is a self-employed security...
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- Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?arrow_forwardFind the indefinite integral. Check Answer: In(5x) dx xarrow_forwardHow to solve 2542000/64132 without a calculator?arrow_forward
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