Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 13, Problem 5T
Find each angle rounded to the nearest tenth of a degree:
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Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas.
Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars)
are as follows.
From
To
Hamilton Butler
Clermont
Southern Gas
10
20
15
Northwest Gas
12
15
18
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
Assignment 3 graph.docx
Score: 1 out of 1
Comment:
(b) Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs (in thousands of…
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…
Chapter 13 Solutions
Elementary Technical Mathematics
Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 5ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 7ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...Ch. 13.1 - Prob. 9ECh. 13.1 - Refer to right triangle ABC in Illustration 1 for...
Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 13ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 15ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 17ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 20ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Prob. 23ECh. 13.1 - Use right triangle ABC in Illustration 1 and the...Ch. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 27ECh. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 29ECh. 13.1 - Use the triangle in Illustration 2 for Exercises...Ch. 13.1 - Prob. 31ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 33ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 37ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 41ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Find the value of each trigonometric ratio rounded...Ch. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 51ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 53ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 55ECh. 13.1 - Find each angle rounded to the nearest tenth of a...Ch. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 64ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 66ECh. 13.1 - Find each angle rounded to the nearest hundredth...Ch. 13.1 - Prob. 68ECh. 13.1 - Prob. 69ECh. 13.1 - Prob. 70ECh. 13.1 - Prob. 71ECh. 13.1 - Prob. 72ECh. 13.1 - Prob. 73ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 5ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 7ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 9ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 17ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 19ECh. 13.2 - Using Illustration 1, find the measure of each...Ch. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Find the unknown sides of each right triangle (see...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 3ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 9ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 11ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Using Illustration 1, solve each right triangle:...Ch. 13.5 - Maria is to weld a support for a 23-m conveyor so...Ch. 13.5 - A conveyor is used to lift paper to a shredder....Ch. 13.5 - A bullet is found embedded in the wall of a room...Ch. 13.5 - The recommended safety angle of a ladder against a...Ch. 13.5 - A piece of conduit 38.0 ft long is placed across...Ch. 13.5 - Find the width of the river in Illustration 4....Ch. 13.5 - Prob. 7ECh. 13.5 - A smokestack is 180 ft high. A guy wire must be...Ch. 13.5 - A railroad track has an angle of elevation of 1.0....Ch. 13.5 - Prob. 10ECh. 13.5 - Enrico has to draft a triangular roof to a house....Ch. 13.5 - A small plane takes off from an airport and begins...Ch. 13.5 - A gauge is used to check the diameter of a crank-...Ch. 13.5 - Round metal duct runs alongside some stairs from...Ch. 13.5 - The cables attached to a TV relay tower are 110 m...Ch. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - A right circular conical tank with its point down...Ch. 13.5 - Use the right triangle in Illustration 13: a. Find...Ch. 13.5 - Prob. 20ECh. 13.5 - Twelve equally spaced holes must be drilled on a...Ch. 13.5 - Dimension x in the dovetail shown in Illustration...Ch. 13.5 - Find angle of the taper in Illustration 17....Ch. 13.5 - You need to use a metal screw with a head angle of...Ch. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Find length x and angle A in Illustration 21....Ch. 13.5 - From the base of a building, measure out a...Ch. 13.5 - A mechanical draftsperson needs to find the...Ch. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Solar heating and electric panels should face the...Ch. 13.5 - A lean-to is a simple shelter with three walls, a...Ch. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - Prob. 3RCh. 13 - For Exercises 1-7, see Illustration 1....Ch. 13 - Prob. 5RCh. 13 - Prob. 6RCh. 13 - Prob. 7RCh. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 13 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 13 - Find side b in Illustration3. ILLUSTRATION 3Ch. 13 - Prob. 17RCh. 13 - Prob. 18RCh. 13 - Solve each right triangle:Ch. 13 - Prob. 20RCh. 13 - A satellite is directly overhead one observer...Ch. 13 - A ranger at the top of a fire tower observes the...Ch. 13 - Find the angle of slope of the symmetrical roof in...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find the value of each trigonometric ratio rounded...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find each angle rounded to the nearest tenth of a...Ch. 13 - Find angle B Illustration 1. ILLUSTRATION 1Ch. 13 - Find side a Illustration 1. ILLUSTRATION 1Ch. 13 - Find side c Illustration 1. ILLUSTRATION 1Ch. 13 - Find angle A Illustration 2. ILLUSTRATION 2Ch. 13 - Find angle B Illustration 2. ILLUSTRATION 2Ch. 13 - Find side b Illustration 2. ILLUSTRATION 2Ch. 13 - A tower 50.0 ft high has a guy wire that is...Ch. 13 - Find length x in the retaining wall in...Ch. 13 - Find angle A in the retaining wall in Illustration...
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- Calculus lll May I please have the blank lines completed, and final statement defined as a result? Thank you for the support!arrow_forwardFor 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_forward
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