
Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Question
Chapter 11.5, Problem 8PS
To determine
To find:
The annuity payment by using an ordinary annuity formula for
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There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
The following ordered data list shows the data speeds for cell phones used by a
telephone company at an airport:
A. Calculate the Measures of Central Tendency from the ungrouped data list.
B. Group the data in an appropriate frequency table.
C. Calculate the Measures of Central Tendency using the table in point B.
D. Are there differences in the measurements obtained in A and C? Why (give at
least one justified reason)?
I leave the answers to A and B to resolve the remaining two.
0.8
1.4
1.8
1.9
3.2
3.6
4.5
4.5
4.6
6.2
6.5
7.7
7.9
9.9
10.2
10.3
10.9
11.1
11.1
11.6
11.8
12.0
13.1
13.5
13.7
14.1
14.2
14.7
15.0
15.1
15.5
15.8
16.0
17.5
18.2
20.2
21.1
21.5
22.2
22.4
23.1
24.5
25.7
28.5
34.6
38.5
43.0
55.6
71.3
77.8
A. Measures of Central Tendency
We are to calculate:
Mean, Median, Mode
The data (already ordered) is:
0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9,
11.1, 11.1, 11.6,
11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…
A tournament is a complete directed graph, for each pair of vertices x, y either (x, y) is an arc or
(y, x) is an arc. One can think of this as a round robin tournament, where the vertices represent
teams, each pair plays exactly once, with the direction of the arc indicating which team wins.
(a) Prove that every tournament has a direct Hamiltonian path. That is a labeling of the teams
V1, V2,..., Un so that vi beats Vi+1. That is a labeling so that team 1 beats team 2, team 2
beats team 3, etc.
(b) A digraph is strongly connected if there is a directed path from any vertex to any other
vertex. Equivalently, there is no partition of the teams into groups A, B so that every team
in A beats every team in B. Prove that every strongly connected tournament has a directed
Hamiltonian cycle. Use this to show that for any team there is an ordering as in part (a) for
which the given team is first.
(c) A king in a tournament is a vertex such that there is a direct path of length at most 2 to
any…
Chapter 11 Solutions
Nature of Mathematics (MindTap Course List)
Ch. 11.1 - IN YOUR OWN WORDS What is interest?Ch. 11.1 - Prob. 2PSCh. 11.1 - Prob. 3PSCh. 11.1 - Prob. 4PSCh. 11.1 - Prob. 5PSCh. 11.1 - Prob. 6PSCh. 11.1 - Use estimation to select the best response in...Ch. 11.1 - Prob. 8PSCh. 11.1 - Prob. 9PSCh. 11.1 - Level 1 Use estimation to select the best response...
Ch. 11.1 - Prob. 11PSCh. 11.1 - Level 1 Use estimation to select the best response...Ch. 11.1 - Prob. 13PSCh. 11.1 - Use estimation to select the best response in...Ch. 11.1 - In Problems 15-18, calculate the amount of simple...Ch. 11.1 - Prob. 16PSCh. 11.1 - In Problems 15-18, calculate the amount of simple...Ch. 11.1 - Prob. 18PSCh. 11.1 - In problems 19-24, find the future value, using...Ch. 11.1 - Prob. 20PSCh. 11.1 - In problems 19-24, find the future value, using...Ch. 11.1 - In problems 19-24, find the future value, using...Ch. 11.1 - In problems 19-24, find the future value, using...Ch. 11.1 - In problems 19-24, find the future value, using...Ch. 11.1 - In problem 25-28, find the present value, using...Ch. 11.1 - Prob. 26PSCh. 11.1 - Prob. 27PSCh. 11.1 - In Problems2528 , find the present value, using...Ch. 11.1 - If 12,000 is invested at 4.5 for 20 years, find...Ch. 11.1 - If 34,500 is invested at 6.9 for 30 years, find...Ch. 11.1 - Find the total amount that must be repaid on the...Ch. 11.1 - Find the total amount that must be repaid on the...Ch. 11.1 - Prob. 33PSCh. 11.1 - Prob. 34PSCh. 11.1 - Compound interest Treasury notes authorized in...Ch. 11.1 - Prob. 36PSCh. 11.1 - Find the cost of each item in 5 years, assuming an...Ch. 11.1 - Find the cost of each item in 10 years, assuming...Ch. 11.1 - What is the future value after 15 years if you...Ch. 11.1 - Prob. 40PSCh. 11.1 - Suppose you see a car with an advertised price of...Ch. 11.1 - Suppose you see a car with an advertised price of...Ch. 11.1 - Suppose you buy a home and finance 285,000 at...Ch. 11.1 - Suppose you buy a home and finance 170,000 at...Ch. 11.1 - Find the cost of a home in 30 years, assuming an...Ch. 11.1 - Find the cost of the monthly rent for a...Ch. 11.1 - Suppose that an insurance agent offers you a...Ch. 11.1 - If a friend tells you she earned 5,075 interest...Ch. 11.1 - If John wants to retire with 10,000 per month, how...Ch. 11.1 - Prob. 50PSCh. 11.1 - In Problems 51-54, calculate the time necessary to...Ch. 11.1 - In problem 5154 , calculate the time necessary to...Ch. 11.1 - Prob. 53PSCh. 11.1 - Prob. 54PSCh. 11.1 - Prob. 55PSCh. 11.1 - HISTORICAL QUEST On August 8, 1981, American...Ch. 11.1 - Suppose that 1,000 is invested at 7 interest...Ch. 11.1 - Prob. 58PSCh. 11.1 - Prob. 59PSCh. 11.1 - Prob. 60PSCh. 11.2 - IN YOUR OWN WORDS What is add-on interest?Ch. 11.2 - Prob. 2PSCh. 11.2 - Prob. 3PSCh. 11.2 - IN YOUR OWN WORDS Discuss the methods of...Ch. 11.2 - Prob. 5PSCh. 11.2 - Prob. 6PSCh. 11.2 - Prob. 7PSCh. 11.2 - Use estimation to select the best response in...Ch. 11.2 - Prob. 9PSCh. 11.2 - Prob. 10PSCh. 11.2 - Prob. 11PSCh. 11.2 - Prob. 12PSCh. 11.2 - If you purchase an item for 1,295 at an interest...Ch. 11.2 - Prob. 14PSCh. 11.2 - Prob. 15PSCh. 11.2 - Prob. 16PSCh. 11.2 - Use estimation to select the best response in...Ch. 11.2 - Prob. 18PSCh. 11.2 - Prob. 19PSCh. 11.2 - Prob. 20PSCh. 11.2 - Prob. 21PSCh. 11.2 - Prob. 22PSCh. 11.2 - Prob. 23PSCh. 11.2 - Prob. 24PSCh. 11.2 - Prob. 25PSCh. 11.2 - Prob. 26PSCh. 11.2 - Prob. 27PSCh. 11.2 - Prob. 28PSCh. 11.2 - Convert each credit card rate in Problems 25-30 to...Ch. 11.2 - Convert each credit card rate in Problems 25-30 to...Ch. 11.2 - EXERCISES Calculate the monthly finance charge for...Ch. 11.2 - Prob. 32PSCh. 11.2 - EXERCISES Calculate the monthly finance charge for...Ch. 11.2 - EXERCISES Calculate the monthly finance charge for...Ch. 11.2 - EXERCISES Round your answers in Problem 3538 to...Ch. 11.2 - EXERCISES Round your answers in Problem 3538 to...Ch. 11.2 - EXERCISES Round your answers in Problem 3538 to...Ch. 11.2 - EXERCISES Round your answers in Problem 3538 to...Ch. 11.2 - EXERCISES Find the APRrounded to the nearest tenth...Ch. 11.2 - Prob. 40PSCh. 11.2 - Prob. 41PSCh. 11.2 - EXERCISES Find the APRrounded to the nearest tenth...Ch. 11.2 - EXERCISES a. Assume the cars in Problems4346can be...Ch. 11.2 - EXERCISES a. Assume the cars in Problems4346can be...Ch. 11.2 - Assume the cars in Problems 43-46 can be purchased...Ch. 11.2 - Assume the cars in Problems 43-46 can be purchased...Ch. 11.2 - A payday loan provides short-term loans ranging...Ch. 11.2 - A payday loan provides short-term loans ranging...Ch. 11.2 - Prob. 49PSCh. 11.2 - A payday loan provides short-term loans ranging...Ch. 11.2 - For each of the car loans described in Problems...Ch. 11.2 - For each of the car loans described in Problems...Ch. 11.2 - For each of the car loans described in Problems...Ch. 11.2 - For each of the car loans described in Problems...Ch. 11.2 - EXERCISES A car dealer carries out the following...Ch. 11.2 - Prob. 56PSCh. 11.2 - Prob. 57PSCh. 11.2 - Prob. 58PSCh. 11.2 - Karen and Wayne need to buy a refrigerator because...Ch. 11.2 - Rule of 78 With a typical installment loan, you...Ch. 11.3 - IN YOUR OWN WORDS What is a sequence, and what do...Ch. 11.3 - Prob. 2PSCh. 11.3 - Prob. 3PSCh. 11.3 - Prob. 4PSCh. 11.3 - Prob. 5PSCh. 11.3 - Prob. 6PSCh. 11.3 - Prob. 7PSCh. 11.3 - In Problems 5-30, a. Classify the sequences as...Ch. 11.3 - Prob. 9PSCh. 11.3 - Prob. 10PSCh. 11.3 - Prob. 11PSCh. 11.3 - Prob. 12PSCh. 11.3 - Prob. 13PSCh. 11.3 - In Problems 5-30, a. Classify the sequences as...Ch. 11.3 - Prob. 15PSCh. 11.3 - Prob. 16PSCh. 11.3 - Prob. 17PSCh. 11.3 - Prob. 18PSCh. 11.3 - In Problems 5-30, a. Classify the sequences as...Ch. 11.3 - Prob. 20PSCh. 11.3 - Prob. 21PSCh. 11.3 - Prob. 22PSCh. 11.3 - Prob. 23PSCh. 11.3 - Prob. 24PSCh. 11.3 - Prob. 25PSCh. 11.3 - Prob. 26PSCh. 11.3 - Prob. 27PSCh. 11.3 - Prob. 28PSCh. 11.3 - Prob. 29PSCh. 11.3 - In Problems 530, a. Classify the sequence as...Ch. 11.3 - Prob. 31PSCh. 11.3 - Prob. 32PSCh. 11.3 - In problems 31-46, a. Find the first three terms...Ch. 11.3 - Prob. 34PSCh. 11.3 - Prob. 35PSCh. 11.3 - Prob. 36PSCh. 11.3 - Prob. 37PSCh. 11.3 - Prob. 38PSCh. 11.3 - Prob. 39PSCh. 11.3 - Prob. 40PSCh. 11.3 - Prob. 41PSCh. 11.3 - Prob. 42PSCh. 11.3 - Prob. 43PSCh. 11.3 - Prob. 44PSCh. 11.3 - Prob. 45PSCh. 11.3 - Prob. 46PSCh. 11.3 - Prob. 47PSCh. 11.3 - Prob. 48PSCh. 11.3 - Prob. 49PSCh. 11.3 - Prob. 50PSCh. 11.3 - Prob. 51PSCh. 11.3 - Find the requested terms in Problem 4756. Find the...Ch. 11.3 - Prob. 53PSCh. 11.3 - Prob. 54PSCh. 11.3 - Prob. 55PSCh. 11.3 - Prob. 56PSCh. 11.3 - Prob. 57PSCh. 11.3 - Prob. 58PSCh. 11.3 - Prob. 59PSCh. 11.3 - Fill in the blanks so that _,8,_,_,27,_, is a. an...Ch. 11.4 - IN YOUR OWN WORDS Distinguish a sequence from a...Ch. 11.4 - Prob. 2PSCh. 11.4 - Prob. 3PSCh. 11.4 - Prob. 4PSCh. 11.4 - Find the requested value in the Problems 5-10. S5...Ch. 11.4 - Prob. 6PSCh. 11.4 - Prob. 7PSCh. 11.4 - Prob. 8PSCh. 11.4 - Prob. 9PSCh. 11.4 - Prob. 10PSCh. 11.4 - Evaluate the expression in problem 11-18. 11....Ch. 11.4 - Prob. 12PSCh. 11.4 - Prob. 13PSCh. 11.4 - Evaluate the expression in problem 11-18. 14....Ch. 11.4 - Prob. 15PSCh. 11.4 - Evaluate the expression in problem 11-18. 16....Ch. 11.4 - Prob. 17PSCh. 11.4 - Prob. 18PSCh. 11.4 - Prob. 19PSCh. 11.4 - Prob. 20PSCh. 11.4 - Prob. 21PSCh. 11.4 - Prob. 22PSCh. 11.4 - Prob. 23PSCh. 11.4 - Prob. 24PSCh. 11.4 - Prob. 25PSCh. 11.4 - Prob. 26PSCh. 11.4 - Prob. 27PSCh. 11.4 - Prob. 28PSCh. 11.4 - Prob. 29PSCh. 11.4 - Prob. 30PSCh. 11.4 - Prob. 31PSCh. 11.4 - Find the sum of the first 100 even positive...Ch. 11.4 - Prob. 33PSCh. 11.4 - Prob. 34PSCh. 11.4 - Prob. 35PSCh. 11.4 - Find the sum of the first n positive integers.Ch. 11.4 - Prob. 37PSCh. 11.4 - Find the sum of the first 50 term of the...Ch. 11.4 - Prob. 39PSCh. 11.4 - Prob. 40PSCh. 11.4 - The game of pool uses 15 balls numbered from 1to15...Ch. 11.4 - Prob. 42PSCh. 11.4 - Prob. 43PSCh. 11.4 - The game of pool uses 15 balls numbered from 1to15...Ch. 11.4 - Prob. 45PSCh. 11.4 - Prob. 46PSCh. 11.4 - How may blocks would be needed to build a stack...Ch. 11.4 - Repeat Problem 47 if the bottom row has 87 blocks.Ch. 11.4 - Prob. 49PSCh. 11.4 - The initial swing of the tip of a pendulum is 25...Ch. 11.4 - Prob. 51PSCh. 11.4 - 52. A rotating flywheel is allowed to slow to a...Ch. 11.4 - Prob. 53PSCh. 11.4 - A tennis ball is dropped from a height of 10 ft....Ch. 11.4 - A culture of bacteria increase by 100 every 24...Ch. 11.4 - Prob. 56PSCh. 11.4 - How many games are necessary for a two team...Ch. 11.4 - Prob. 58PSCh. 11.4 - Prob. 59PSCh. 11.4 - Prob. 60PSCh. 11.5 - IN YOUR OWN WORDS What do we mean by a lump-sum...Ch. 11.5 - IN YOUR OWN WORDS Why should we call an annuity a...Ch. 11.5 - Prob. 3PSCh. 11.5 - Prob. 4PSCh. 11.5 - IN YOUR OWN WORDS Distinguish an annuity problem...Ch. 11.5 - Prob. 6PSCh. 11.5 - Use a calculator to evaluate an ordinary annuity...Ch. 11.5 - Prob. 8PSCh. 11.5 - Prob. 9PSCh. 11.5 - Prob. 10PSCh. 11.5 - Use a calculator to evaluate an ordinary annuity...Ch. 11.5 - Prob. 12PSCh. 11.5 - Prob. 13PSCh. 11.5 - Prob. 14PSCh. 11.5 - Prob. 15PSCh. 11.5 - Prob. 16PSCh. 11.5 - Prob. 17PSCh. 11.5 - Prob. 18PSCh. 11.5 - Prob. 19PSCh. 11.5 - Prob. 20PSCh. 11.5 - Prob. 21PSCh. 11.5 - Prob. 22PSCh. 11.5 - In problems 2334, find the value of each of the...Ch. 11.5 - Prob. 24PSCh. 11.5 - In problems 2334, find the value of each of the...Ch. 11.5 - Prob. 26PSCh. 11.5 - In problems 2334, find the value of each of the...Ch. 11.5 - In problems 2334, find the value of each of the...Ch. 11.5 - Prob. 29PSCh. 11.5 - Prob. 30PSCh. 11.5 - Prob. 31PSCh. 11.5 - Prob. 32PSCh. 11.5 - Prob. 33PSCh. 11.5 - Prob. 34PSCh. 11.5 - Find the amount of periodic payment necessary for...Ch. 11.5 - Prob. 36PSCh. 11.5 - Find the amount of periodic payment necessary for...Ch. 11.5 - Prob. 38PSCh. 11.5 - Prob. 39PSCh. 11.5 - Find the amount of periodic payment necessary for...Ch. 11.5 - Prob. 41PSCh. 11.5 - Prob. 42PSCh. 11.5 - Prob. 43PSCh. 11.5 - Prob. 44PSCh. 11.5 - Find the amount of periodic payment necessary for...Ch. 11.5 - Prob. 46PSCh. 11.5 - Self-employed persons can make contributions for...Ch. 11.5 - The owner of Sebastopol Tree Farm deposits 650 at...Ch. 11.5 - The owner of Oak Hill Squirrel Farm deposits 1,000...Ch. 11.5 - Clearlake Optical has a 50,000 note that comes due...Ch. 11.5 - A business must raise 70,000 in 5 years. What...Ch. 11.5 - A lottery offers a 1,000,000 prize to be paid in...Ch. 11.5 - A lottery offers a 1,000,000 prize to be paid in...Ch. 11.5 - John and Rosamond want to retire in 5 years and...Ch. 11.5 - In 2012 the maximum Social Security deposit by an...Ch. 11.5 - You want to retire at age 65. You decide to make a...Ch. 11.5 - Prob. 57PSCh. 11.5 - Prob. 58PSCh. 11.5 - Clearlake Optical has developed a new lens. The...Ch. 11.5 - The owners of Bardoza Greeting Cards wish to...Ch. 11.6 - IN YOUR OWN WORDS What does amortization mean?Ch. 11.6 - Prob. 2PSCh. 11.6 - Prob. 3PSCh. 11.6 - Prob. 4PSCh. 11.6 - Use a calculator to evaluate the present value of...Ch. 11.6 - Use a calculator to evaluate the present value of...Ch. 11.6 - Prob. 7PSCh. 11.6 - Prob. 8PSCh. 11.6 - Prob. 9PSCh. 11.6 - Prob. 10PSCh. 11.6 - Use a calculator to evaluate the present value of...Ch. 11.6 - Prob. 12PSCh. 11.6 - Prob. 13PSCh. 11.6 - Prob. 14PSCh. 11.6 - Prob. 15PSCh. 11.6 - Use a calculator to evaluate the amortization...Ch. 11.6 - Prob. 17PSCh. 11.6 - Prob. 18PSCh. 11.6 - Prob. 19PSCh. 11.6 - Prob. 20PSCh. 11.6 - Prob. 21PSCh. 11.6 - Prob. 22PSCh. 11.6 - Prob. 23PSCh. 11.6 - Prob. 24PSCh. 11.6 - Prob. 25PSCh. 11.6 - Prob. 26PSCh. 11.6 - Prob. 27PSCh. 11.6 - Prob. 28PSCh. 11.6 - Prob. 29PSCh. 11.6 - Prob. 30PSCh. 11.6 - Prob. 31PSCh. 11.6 - Find the present value of the ordinary annuities...Ch. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Prob. 35PSCh. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Prob. 37PSCh. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Prob. 39PSCh. 11.6 - Prob. 40PSCh. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - Find the monthly payment for the loans in Problems...Ch. 11.6 - How much interest to the nearest dollar would be...Ch. 11.6 - How much interest to the nearest dollar would be...Ch. 11.6 - Melissa agrees to contribute 500 to the alumni...Ch. 11.6 - Arnie agrees to contribute 2,500 to the road fund...Ch. 11.6 - Prob. 49PSCh. 11.6 - Prob. 50PSCh. 11.6 - Prob. 51PSCh. 11.6 - Prob. 52PSCh. 11.6 - I recently found a real-life advertisement in the...Ch. 11.6 - Prob. 54PSCh. 11.6 - Suppose your gross monthly income is 5,500 and...Ch. 11.6 - Prob. 56PSCh. 11.6 - Prob. 57PSCh. 11.6 - Prob. 58PSCh. 11.6 - Suppose your gross monthly income is 4,550 and...Ch. 11.6 - Suppose you want to purchase a home for 425,000...Ch. 11.7 - IN YOUR OWN WORDS What are a reasonable down...Ch. 11.7 - Prob. 2PSCh. 11.7 - IN YOUR OWN WORDS Outline a procedure for...Ch. 11.7 - Prob. 4PSCh. 11.7 - Prob. 5PSCh. 11.7 - Prob. 6PSCh. 11.7 - Classify the term of financial problem for the...Ch. 11.7 - Classify the term of financial problem for the...Ch. 11.7 - Prob. 9PSCh. 11.7 - Classify the term of financial problem for the...Ch. 11.7 - Classify the type of financial formula for the...Ch. 11.7 - In Problems 12-15, match each formula in Column A...Ch. 11.7 - In Problems 12-15, match each formula in Column A...Ch. 11.7 - In Problems 12-15, match each formula in Column A...Ch. 11.7 - In Problems 12-15, match each formula in Column A...Ch. 11.7 - Classify the financial problems in Problems 16-19,...Ch. 11.7 - Classify the financial problems in Problems 16-19,...Ch. 11.7 - Classify the financial problems in Problems 16-19,...Ch. 11.7 - Classify the financial problems in Problems 16-19,...Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - Prob. 29PSCh. 11.7 - Prob. 30PSCh. 11.7 - Prob. 31PSCh. 11.7 - Prob. 32PSCh. 11.7 - Prob. 33PSCh. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - Prob. 35PSCh. 11.7 - In Problems 20-52: a. State the type; and b....Ch. 11.7 - Prob. 37PSCh. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - Prob. 41PSCh. 11.7 - Prob. 42PSCh. 11.7 - Prob. 43PSCh. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - Prob. 45PSCh. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52; a. State the type; and b....Ch. 11.7 - In Problems 20-52. a. State the type; and b....Ch. 11.7 - In Problems 20-52. a. State the type; and b....Ch. 11.7 - Problems 5355 are based on a 30-year fixed-rate...Ch. 11.7 - Problems 5355 are based on a 30-year fixed-rate...Ch. 11.7 - Problems 5355 are based on a 30-year fixed-rate...Ch. 11.7 - Problems 56-58 are based on a 30-year fixed-rate...Ch. 11.7 - Problems 56-58 are based on a 30-year fixed-rate...Ch. 11.7 - Problems 56-58 are based on a 30-year fixed-rate...Ch. 11.7 - A contest offers the winner 50,000 now or 10,000...Ch. 11.7 - In 1982 the inflation rate hit 16. Suppose that...Ch. 11.CR - Prob. 1CRCh. 11.CR - Prob. 2CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - Prob. 6CRCh. 11.CR - Prob. 7CRCh. 11.CR - Prob. 8CRCh. 11.CR - Prob. 9CRCh. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Prob. 20CR
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- Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.) y = 100e0.01x (x, y) = y = 11,250 ×arrow_forwardhow to construct the following same table?arrow_forwardThe following is known. The complete graph K2t on an even number of vertices has a 1- factorization (equivalently, its edges can be colored with 2t - 1 colors so that the edges incident to each vertex are distinct). This implies that the complete graph K2t+1 on an odd number of vertices has a factorization into copies of tK2 + K₁ (a matching plus an isolated vertex). A group of 10 people wants to set up a 45 week tennis schedule playing doubles, each week, the players will form 5 pairs. One of the pairs will not play, the other 4 pairs will each play one doubles match, two of the pairs playing each other and the other two pairs playing each other. Set up a schedule with the following constraints: Each pair of players is a doubles team exactly 4 times; during those 4 matches they see each other player exactly once; no two doubles teams play each other more than once. (a) Find a schedule. Hint - think about breaking the 45 weeks into 9 blocks of 5 weeks. Use factorizations of complete…arrow_forward
- . The two person game of slither is played on a graph. Players 1 and 2 take turns, building a path in the graph. To start, Player 1 picks a vertex. Player 2 then picks an edge incident to the vertex. Then, starting with Player 1, players alternate turns, picking a vertex not already selected that is adjacent to one of the ends of the path created so far. The first player who cannot select a vertex loses. (This happens when all neighbors of the end vertices of the path are on the path.) Prove that Player 2 has a winning strategy if the graph has a perfect matching and Player 1 has a winning strategy if the graph does not have a perfect matching. In each case describe a strategy for the winning player that guarantees that they will always be able to select a vertex. The strategy will be based on using a maximum matching to decide the next choice, and will, for one of the cases involve using the fact that maximality means no augmenting paths. Warning, the game slither is often described…arrow_forwardLet D be a directed graph, with loops allowed, for which the indegree at each vertex is at most k and the outdegree at each vertex is at most k. Prove that the arcs of D can be colored so that the arcs entering each vertex must have distinct colors and the arcs leaving each vertex have distinct colors. An arc entering a vertex may have the same color as an arc leaving it. It is probably easiest to make use of a known result about edge coloring. Think about splitting each vertex into an ‘in’ and ‘out’ part and consider what type of graph you get.arrow_forward3:56 wust.instructure.com Page 0 Chapter 5 Test Form A of 2 - ZOOM + | Find any real numbers for which each expression is undefined. 2x 4 1. x Name: Date: 1. 3.x-5 2. 2. x²+x-12 4x-24 3. Evaluate when x=-3. 3. x Simplify each rational expression. x²-3x 4. 2x-6 5. x²+3x-18 x²-9 6. Write an equivalent rational expression with the given denominator. 2x-3 x²+2x+1(x+1)(x+2) Perform the indicated operation and simplify if possible. x²-16 x-3 7. 3x-9 x²+2x-8 x²+9x+20 5x+25 8. 4.x 2x² 9. x-5 x-5 3 5 10. 4x-3 8x-6 2 3 11. x-4 x+4 x 12. x-2x-8 x²-4 ← -> Copyright ©2020 Pearson Education, Inc. + 5 4. 5. 6. 7. 8. 9. 10. 11. 12. T-97arrow_forward
- please work out more details give the solution.arrow_forwardProblem #5 Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times. a). How many ways result in 6 tails and 2 heads? b). How many ways result in 2 tails and 6 heads? c). Compare your answers to part (a) and (b) and explain in a few sentences why the comparison makes sense.arrow_forwardBurger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 30 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 44 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an…arrow_forward
- PEER REPLY 1: Choose a classmate's Main Post. 1. Indicate a range of values for the independent variable (x) that is reasonable based on the data provided. 2. Explain what the predicted range of dependent values should be based on the range of independent values.arrow_forwardNote: A waiting line model solver computer package is needed to answer these questions. The Kolkmeyer Manufacturing Company uses a group of six identical machines, each of which operates an average of 18 hours between breakdowns. With randomly occurring breakdowns, the Poisson probability distribution is used to describe the machine breakdown arrival process. One person from the maintenance department provides the single-server repair service for the six machines. Management is now considering adding two machines to its manufacturing operation. This addition will bring the number of machines to eight. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The service rate for each individual assigned to the repair operation is 0.50 machines per hour. (a) Compute the operating characteristics if the company retains the single-employee repair operation. (Round your answers to four decimal places. Report time in hours.) La = L = Wa = W =…arrow_forward10 20 30 y vernier protractor scales. 60 30 0 30 60 40 30 20 10 0 30 60 0 10. Write the complement of each of the following angles. a. 67° b. 17°41' 11. Write the supplement of each of the following angles. a.41° b.99°32' 30 60 C. 20 10 20 90 60 30 69 30 30 40 50 c. 54°47' 53" 0 30 60 c. 103°03'27" 12. Given: AB CD and EF GH. Determine the value of each angle, 21 through /10, to the nearer minute. A- 25 21 = 22 = 23 = 24 = 25 = 46= 27 = C 28 = 29 = 210 = E 26 22 210 81°00' 29 4 142°00' G H 94°40' B Darrow_forward
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