Prealgebra (6th Edition)
6th Edition
ISBN: 9780134179018
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter 7.1, Problem 56E
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Use the method of undetermined coefficients to solve the given nonhomogeneous system.
dx
dt
=
2x + 3y − 8
dy
dt
=
−x − 2y + 6
X(t) =
As discussed in Section 8.3, the Markowitz model uses the variance of the portfolio as the measure of risk. However, variance includes deviations both below and above the mean return. Semivariance includes only deviations below the mean and is considered by many to be a better measure of risk.
(a)
Develop a model that minimizes semivariance for the Hauck Financial data given in the file HauckData with a required return of 10%.
Assume
that the five planning scenarios in the Hauck Financial Services model are equally likely to occur. Hint: Modify model (8.10)–(8.19). Define a variable ds for each scenario and let
ds ≥ R − Rs
with
ds ≥ 0.
Then make the objective function:
Min
1
5
5
s = 1
ds2.
Let
FS = proportion of portfolio invested in the foreign stock mutual fund
IB = proportion of portfolio invested in the intermediate-term bond fund
LG = proportion of portfolio invested in the large-cap growth fund
LV = proportion of portfolio invested in the large-cap value fund…
Calculus lll
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Chapter 7 Solutions
Prealgebra (6th Edition)
Ch. 7.1 - Fill in the blanks. To solve the equation y+8=17,...Ch. 7.1 - Fill in the blanks. To solve the equation a1=7, we...Ch. 7.1 - Fill in the blanks. To solve the equation x15=82,...Ch. 7.1 - Fill in the blanks. To solve the equation x+15=22,...Ch. 7.1 - Fill in the blanks. Before we solve the equation...Ch. 7.1 - Fill in the blanks. Before we solve the equation...Ch. 7.1 - Fill in each blank with the missing phrase. To...Ch. 7.1 - Fill in each blank with the missing phrase. To...Ch. 7.1 - Fill in each blank with the missing phrase. To...Ch. 7.1 - Fill in each blank with the missing phrase. To...
Ch. 7.1 - Fill in each blank with the missing phrase. We...Ch. 7.1 - Fill in each blank with the missing phrase. We...Ch. 7.1 - Solve and check your answer. a6=19Ch. 7.1 - Solve and check your answer. y4=11Ch. 7.1 - Solve and check your answer. a+9=1Ch. 7.1 - Solve and check your answer. x+13=1Ch. 7.1 - Solve and check your answer. 5=x+5Ch. 7.1 - Solve and check your answer. 7=y+6Ch. 7.1 - Solve and check your answer. 79=y4Ch. 7.1 - Solve and check your answer. 811=x4Ch. 7.1 - Solve and check your answer. 712=x6+32Ch. 7.1 - Solve and check your answer. 813=x2+32Ch. 7.1 - Solve and check your answer. 8+42=a+64Ch. 7.1 - Solve and check your answer. 5+32=a+57Ch. 7.1 - Solve and check your answer. 12x111x1=5Ch. 7.1 - Solve and check your answer. 8x+77x+2=3Ch. 7.1 - Solve and check your answer. 1216=4y+83yCh. 7.1 - Solve and check your answer. 89=3x42xCh. 7.1 - Solve and check your answer. 6x65x+1=2+4Ch. 7.1 - Solve and check your answer. 11x+1210x1=4+11Ch. 7.1 - Solve and check your solution. 16=x3Ch. 7.1 - Solve and check your solution. 3=x2Ch. 7.1 - Solve and check your solution. 14=y2Ch. 7.1 - Solve and check your solution. 4=a6Ch. 7.1 - Solve and check your solution. a4=6+9Ch. 7.1 - Solve and check your solution. y3=911Ch. 7.1 - Solve and check your solution. x4=8+6Ch. 7.1 - Solve and check your solution. x5=6+2Ch. 7.1 - Solve and check your solution. y2=4+22Ch. 7.1 - Solve and check your solution. x1=5+42Ch. 7.1 - Solve and check your solution. 3x5=9Ch. 7.1 - Solve and check your solution. 57x=15Ch. 7.1 - Solve and check your solution. 23a=18Ch. 7.1 - Solve and check your solution. 58a=15Ch. 7.1 - Solve and check your solution. 76y=42+5Ch. 7.1 - Solve and check your solution. 37y=524Ch. 7.1 - Solve and check your solution. 3(2x)=24Ch. 7.1 - Solve and check your solution. 4(6x)=48Ch. 7.1 - Solve and check your solution. 6=2(5x)Ch. 7.1 - Solve and check your solution. 2=6(4x)Ch. 7.1 - Solve and check your solution. 8x+4(4x)=48Ch. 7.1 - Solve and check your solution. 6x+3(3x)=45Ch. 7.1 - Solve and check your solution. 6(2x)3x=30Ch. 7.1 - Solve and check your solution. 5(5x)4x=29Ch. 7.1 - Solve and check your solution. 102=3(4x)+2xCh. 7.1 - Solve and check your solution. 63=2(3x)+3xCh. 7.1 - Solve and check your solution. 213=5x+3(4x)Ch. 7.1 - Solve and check your solution. 328=8x+2(2x)Ch. 7.1 - Solve and check your solution. x=9Ch. 7.1 - Solve and check your solution. x=16Ch. 7.1 - Solve and check your solution. x=4Ch. 7.1 - Solve and check your solution. x=6Ch. 7.1 - Solve. a. 2x=12 b. x2=12 c. x2=12 d. x+2=12Ch. 7.1 - Solve. a. 5y=20 b. y5=20 c. x5=20 d. x+5=20Ch. 7.1 - Solve. a. y10=9 b. y+10=9 c. y10=9 d. 10y=9Ch. 7.1 - Solve. a. x6=11 b. x+6=11 c. x6=11 d. 6x=11Ch. 7.1 - Solve. 15=a+5Ch. 7.1 - Solve. 2=y+7Ch. 7.1 - Solve. 5x+24x=4Ch. 7.1 - Solve. 7x+36x=4Ch. 7.1 - Solve. x7=2+32Ch. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Prob. 75ECh. 7.1 - Prob. 76ECh. 7.1 - Prob. 77ECh. 7.1 - Prob. 78ECh. 7.1 - Prob. 79ECh. 7.1 - Prob. 80ECh. 7.1 - The sum of each row, each column, and each...Ch. 7.1 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.1 - Prob. 88ECh. 7.1 - Prob. 89ECh. 7.1 - Prob. 1QQCh. 7.1 - Prob. 2QQCh. 7.1 - Prob. 3QQCh. 7.1 - Prob. 4QQCh. 7.2 - Write in words the question asked by each...Ch. 7.2 - Write in words the question asked by each...Ch. 7.2 - Prob. 3ECh. 7.2 - Fill in the boxes in each step with the values...Ch. 7.2 - Prob. 5ECh. 7.2 - Fill in the boxes in each step with the values...Ch. 7.2 - Prob. 7ECh. 7.2 - Fill in the boxes in each step with the values...Ch. 7.2 - Prob. 9ECh. 7.2 - Solve and check your solution. 3y9=12Ch. 7.2 - Prob. 11ECh. 7.2 - Solve and check your solution. 7x10=18Ch. 7.2 - Prob. 13ECh. 7.2 - Solve and check your solution. 15=6y3Ch. 7.2 - Prob. 15ECh. 7.2 - Solve and check your solution. 3x2=12Ch. 7.2 - Prob. 17ECh. 7.2 - Solve and check your solution. 6w+7=67Ch. 7.2 - Prob. 19ECh. 7.2 - Solve and check your solution. 5y9=74Ch. 7.2 - Prob. 21ECh. 7.2 - Solve and check your solution. 36=4x8Ch. 7.2 - Solve and check your solution. 1=75yCh. 7.2 - Solve and check your solution. 2=94xCh. 7.2 - Prob. 25ECh. 7.2 - Solve and check your solution. 10=46xCh. 7.2 - Prob. 27ECh. 7.2 - Solve and check your solution. 3=92yCh. 7.2 - Prob. 29ECh. 7.2 - Simplify the left side of the equation by...Ch. 7.2 - Prob. 31ECh. 7.2 - Simplify the left side of the equation by...Ch. 7.2 - Prob. 33ECh. 7.2 - Simplify the left side of the equation by...Ch. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Solve and check your solution. 2y+6=12Ch. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Solve and check your solution. 13x=8x+20Ch. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Prob. 1QQCh. 7.2 - Prob. 2QQCh. 7.2 - Prob. 3QQCh. 7.2 - Prob. 4QQCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Solve and check your solution. 4(2x+1)=53xCh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Solve and check your solution. 4(x2)=2(x+6)+31Ch. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Solve and check your solution. 3(5x+1)4x=16Ch. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Solve and check your solution. (x2+3x1)(2x+1)=x25Ch. 7.3 - Prob. 38ECh. 7.3 - Is x=19 a solution to (2x+9)+(3x2)(5x+1)=2(x6)(x1)...Ch. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 1QQCh. 7.3 - Prob. 2QQCh. 7.3 - Prob. 3QQCh. 7.3 - Prob. 4QQCh. 7.4 - Fill in the blanks. To solve x3+x5=10 we multiply...Ch. 7.4 - Prob. 2ECh. 7.4 - Fill in each box with the correct number to...Ch. 7.4 - Prob. 4ECh. 7.4 - Solve and check your solution. x8+x4=3Ch. 7.4 - Prob. 6ECh. 7.4 - Solve and check your solution. x6+x4=5Ch. 7.4 - Prob. 8ECh. 7.4 - Solve and check your solution. x2x5=6Ch. 7.4 - Prob. 10ECh. 7.4 - Solve and check your solution. 3x+23=92Ch. 7.4 - Prob. 12ECh. 7.4 - Solve and check your solution. 5x+18=34Ch. 7.4 - Prob. 14ECh. 7.4 - Solve and check your solution. 5x12=18Ch. 7.4 - Prob. 16ECh. 7.4 - Solve and check your solution. 2x+12=37Ch. 7.4 - Prob. 18ECh. 7.4 - Solve and check your solution. 4x+23=16Ch. 7.4 - Prob. 20ECh. 7.4 - Solve and check your solution. x3+x=8Ch. 7.4 - Prob. 22ECh. 7.4 - Solve and check your solution. x3+x=6Ch. 7.4 - Prob. 24ECh. 7.4 - Solve and check your solution. x2+x=6Ch. 7.4 - Prob. 26ECh. 7.4 - Solve and check your solution. x42x=3Ch. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Solve and check your solution. 59+x6=23Ch. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Translate using symbols. [1.3.2] Twelve less than...Ch. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 1QQCh. 7.4 - Prob. 2QQCh. 7.4 - Prob. 3QQCh. 7.4 - Prob. 4QQCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Salary Comparison Mark is a teaching assistant at...Ch. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Geometry A triangle has a perimeter of 24 inches....Ch. 7.5 - Prob. 25ECh. 7.5 - Geometry The perimeter of a rectangle is 74 feet....Ch. 7.5 - Price of College Books Jacob bought 2 books for...Ch. 7.5 - Number of Skiers On Monday the total number of...Ch. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Geometry A triangle with all sides of equal length...Ch. 7.5 - a. Find the missing numbers for sequence x, then...Ch. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - a. Find the missing numbers for sequence x, then...Ch. 7.5 - [5.6.1]Checker Board The dimensions of an opened...Ch. 7.5 - Use the following information for problems 13. The...Ch. 7.5 - Prob. 2QQCh. 7.5 - Use the following information for problems 13. The...Ch. 7.5 - Concept Check The high school marching band...Ch. 7 - Prob. 1RPCh. 7 - Prob. 2RPCh. 7 - Prob. 3RPCh. 7 - Prob. 4RPCh. 7 - Solve and check your solution. 5+22=x5Ch. 7 - Solve and check your solution. 67a=221Ch. 7 - Solve and check your solution. 3x+2(4x)=182Ch. 7 - Solve and check your solution. x=18Ch. 7 - Prob. 9RPCh. 7 - Solve and check your solution. 6x8=34Ch. 7 - Solve and check your solution. 2y+16=58Ch. 7 - Solve and check your solution. 20=87yCh. 7 - Prob. 13RPCh. 7 - Solve and check your solution. 14y=19Ch. 7 - Solve and check your solution. 8x75x=15Ch. 7 - Solve and check your solution. 6x=9x+36Ch. 7 - Solve and check your solution. 5x=2x+30Ch. 7 - Solve and check your solution. 3x85x=6Ch. 7 - Prob. 19RPCh. 7 - Prob. 20RPCh. 7 - Solve and check your solution. 8x95x+18=3x2+2xCh. 7 - Prob. 22RPCh. 7 - Prob. 23RPCh. 7 - Solve and check your solution. 4(2x+9)+5x=3Ch. 7 - Prob. 25RPCh. 7 - Prob. 26RPCh. 7 - Prob. 27RPCh. 7 - Solve and check your solution. (5x2+x2)(5x25)=6x+9Ch. 7 - Prob. 29RPCh. 7 - Solve and check your solution. x5x2=6Ch. 7 - Solve and check your solution. y+y5=12Ch. 7 - Prob. 32RPCh. 7 - Solve and check your solution. 2x34=13Ch. 7 - Prob. 34RPCh. 7 - Solve and check your solution. 13=3y+12Ch. 7 - Prob. 36RPCh. 7 - For exercises 36 and 37: Write an equation. Solve...Ch. 7 - Prob. 38RPCh. 7 - For each of the following problems: a. Define the...Ch. 7 - For each of the following problems: a. Define the...Ch. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Solve and check. 3=74yCh. 7 - Solve and check. 6x+49x=15Ch. 7 - Solve and check. 14x=2x+16Ch. 7 - Solve and check. 2x+4(3x6)=4(6x+2)Ch. 7 - Solve and check. 3(2x+6)+3x=27Ch. 7 - Solve and check. 4(x1)=6(x+2)+48Ch. 7 - Solve and check. (3x22x+1)+(3x210)=5x+5Ch. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Write the answers. Use the following information...Ch. 7 - Prob. 20TCh. 7 - Write the answers. Use the following information...Ch. 7 - Write the answers. Use the following information...Ch. 7 - Write the answers. Use the following information...Ch. 7 - Write the answers. Use the following information...
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- For each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown. Which set of data did he use to create the histogram? A 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92 B 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91\ 55,\ 57,\ 60,\ 65,\ 70,\ 71,\ 78,\ 79,\ 85,\ 86,\ 88,\ 91 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91 C 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93\ 55,\ 60,\ 63,\ 64,\ 65,\ 71,\ 83,\ 87,\ 88,\ 88,\ 89,\ 93 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93 D 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91\ 55,\ 58,\ 60,\ 66,\ 68,\ 75,\ 77,\ 82,\ 86,\ 89,\ 91,\ 91 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
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Algebra
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY