
Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Chapter 13.I, Problem 5RE
To determine
To calculate: The monthly periodic rate, finance charge and new balance if previous balance is
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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 13 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 13.I - Mike Dennis has a Bank of America account with an...Ch. 13.I - Kendra Wolf has a Bank of America revolving credit...Ch. 13.I - Angler Marine has a $75,000 line of credit with...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Prob. 5RECh. 13.I - Calculate the missing information on the following...Ch. 13.I - Anny Winslow has a Bank of America revolving...
Ch. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Prob. 11RECh. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Prob. 13RECh. 13.I - 14. Calculate the average daily balance for...Ch. 13.I - 15. Calculate the average daily balance for...Ch. 13.I - Carolyn Salkind has a Bank of America revolving...Ch. 13.I - Prob. 17RECh. 13.I - The Jewelry Exchange has a $30,000 line of credit...Ch. 13.II - Bob Johnson found a car he wanted to buy at...Ch. 13.II - Prob. 5TIECh. 13.II - Prob. 6TIECh. 13.II - Prob. 7TIECh. 13.II - Prob. 8TIECh. 13.II - Prob. 9TIECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Prob. 3RECh. 13.II - Prob. 4RECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Prob. 6RECh. 13.II - Prob. 7RECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Prob. 9RECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Prob. 16RECh. 13.II - Prob. 17RECh. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Prob. 21RECh. 13.II - Prob. 22RECh. 13.II - Prob. 23RECh. 13.II - Calculate the finance charge and the annual...Ch. 13.II - Prob. 25RECh. 13.II - Prob. 26RECh. 13.II - Prob. 27RECh. 13.II - Calculate the finance charge and the monthly...Ch. 13.II - Calculate the finance charge and the monthly...Ch. 13.II - Calculate the finance charge and the monthly...Ch. 13.II - Prob. 31RECh. 13.II - Prob. 32RECh. 13.II - Calculate the missing information for the...Ch. 13.II - Calculate the missing information for the...Ch. 13.II - Prob. 35RECh. 13.II - Calculate the missing information for the...Ch. 13.II - Calculate the missing information for the...Ch. 13.II - Prob. 38RECh. 13.II - You are the loan department supervisor for the...Ch. 13.II - Prob. 40RECh. 13.II - You are the loan department supervisor for the...Ch. 13.II - You are the loan department supervisor for the...Ch. 13.II - You are the loan department supervisor for the...Ch. 13.II - Prob. 44RECh. 13.II - Prob. 45RECh. 13.II - 46. Meghan Pease purchased a small sailboat for...Ch. 13.II - Prob. 47RECh. 13.II - 48. Doug Black bought a jet ski with a 9% add-on...Ch. 13.II - Olivia Fast found a timeshare offer entitling her...Ch. 13.II - Tim Houston purchased a wall unit for $2,400. He...Ch. 13.II - First National Bank offers a 36-month installment...Ch. 13.II - At a recent boat show, Nautica Bank was offering...Ch. 13.II - Prob. 53RECh. 13.II - 54. a. What is the rebate fraction of a 36-month...Ch. 13.II - Charlie Allen financed a $3,500 Nautilus home gym...Ch. 13 - ____ credit is a loan arrangement in which there...Ch. 13 - The effective or true annual interest rate being...Ch. 13 - Loans that are backed by the borrowers promise to...Ch. 13 - 4. Loans made on a continuous basis and billed...Ch. 13 - 5. Name the two most common methods used to...Ch. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CRCh. 13 - Prob. 9CRCh. 13 - Prob. 10CRCh. 13 - Prob. 11CRCh. 13 - Prob. 12CRCh. 13 - 13. The finance charge ________ is the unearned...Ch. 13 - Prob. 14CRCh. 13 - Prob. 1ATCh. 13 - Prob. 2ATCh. 13 - Prob. 3ATCh. 13 - 4. Calculate the average daily balance for January...Ch. 13 - Mel Arrandt has a Bank of America account with a...Ch. 13 - Alpine Construction, Inc. has a $100,000 line of...Ch. 13 - George Bell bought an ultralight airplane for...Ch. 13 - 8. David Sporn bought a saddle from Linville...Ch. 13 - 9. Buster Blaster Recording Studio purchased a new...Ch. 13 - Chris Manning purchased a $7,590 motorcycle with a...Ch. 13 - 11. SkyHigh Aircraft Sales uses the Executive...Ch. 13 - 12. After making 11 payments on a 36-month loan,...Ch. 13 - An Auntie Annes franchise financed a $68,000...Ch. 13 - 14. You are a salesperson for Mega Marine Boat...Ch. 13 - 15. Joe Keener found the accompanying ad for a...
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