EBK DISCRETE MATHEMATICS: INTRODUCTION
11th Edition
ISBN: 9781133417071
Author: EPP
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 5.3, Problem 32ES
To determine
To Justify: The examples of two kinds of checker board.
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2. Jacob is going to college. He has a part-time job with take-home pay of $575 every
two weeks. He has received a scholarship for $5500 for the year. Determine Jacob's
total monthly income.
1. Pira's expenses are $850 a month for rent and utilities, $52 a month for TV and Internet
package, $90 a week for food, $110 a month for a bus pass, $25 a week for entertainment, and
$85 every two weeks for miscellaneous expenses.
a)
Convert each expense to a monthly amount and represent each monthly amount as a
percentage.
b)
Create a circle graph that shows the breakdown of the monthly expenses.
c) Pira has an income of $1600/biweekly and is deciding whether a weeklong vacation to
Florida would be within her budget. The cost of the trip is approximately $2000 per week.
Would you recommend for her to take the one weeklong vacation? Explain.
4. Mason works at a part-time job earning $985 every two weeks.
Mason's expenses are $750 a month for rent and utilities, $75 a month for her cell
phone, $350 a month for food, $35 a week for entertainment, $310 a month for her car
loan payment, and $65 every two weeks for miscellaneous expenses.
How long will it take Mason to save $2000 for a vacation? Round your answer to the
nearest month.
Chapter 5 Solutions
EBK DISCRETE MATHEMATICS: INTRODUCTION
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- 3. Abdul works full-time in a bookstore. He earns a take-home salary of $580 a week. His expenses are $850 a month for rent and utilities, $65 a month for his cell phone, $95 a week for groceries, and $75 every two weeks for miscellaneous expenses. How much can Abdul save each month?arrow_forwardThe class will include a data exercise where students will be introduced to publicly available data sources. Students will gain experience in manipulating data from the web and applying it to understanding the economic and demographic conditions of regions in the U.S. Regions and topics of focus will be determined (by the student with instructor approval) prior to April. What data exercise can I do to fulfill this requirement? Please explain.arrow_forwardConsider the ceocomp dataset of compensation information for the CEO’s of 100 U.S. companies. We wish to fit aregression model to assess the relationship between CEO compensation in thousands of dollars (includes salary andbonus, but not stock gains) and the following variates:AGE: The CEOs age, in yearsEDUCATN: The CEO’s education level (1 = no college degree; 2 = college/undergrad. degree; 3 = grad. degree)BACKGRD: Background type(1= banking/financial; 2 = sales/marketing; 3 = technical; 4 = legal; 5 = other)TENURE: Number of years employed by the firmEXPER: Number of years as the firm CEOSALES: Sales revenues, in millions of dollarsVAL: Market value of the CEO's stock, in natural logarithm unitsPCNTOWN: Percentage of firm's market value owned by the CEOPROF: Profits of the firm, before taxes, in millions of dollars1) Create a scatterplot matrix for this dataset. Briefly comment on the observed relationships between compensationand the other variates.Note that companies with negative…arrow_forward
- 6 (Model Selection, Estimation and Prediction of GARCH) Consider the daily returns rt of General Electric Company stock (ticker: "GE") from "2021-01-01" to "2024-03-31", comprising a total of 813 daily returns. Using the "fGarch" package of R, outputs of fitting three GARCH models to the returns are given at the end of this question. Model 1 ARCH (1) with standard normal innovations; Model 2 Model 3 GARCH (1, 1) with Student-t innovations; GARCH (2, 2) with Student-t innovations; Based on the outputs, answer the following questions. (a) What can be inferred from the Standardized Residual Tests conducted on Model 1? (b) Which model do you recommend for prediction between Model 2 and Model 3? Why? (c) Write down the fitted model for the model that you recommended in Part (b). (d) Using the model recommended in Part (b), predict the conditional volatility in the next trading day, specifically trading day 814.arrow_forward4 (MLE of ARCH) Suppose rt follows ARCH(2) with E(rt) = 0, rt = ut, ut = στει, σε where {+} is a sequence of independent and identically distributed (iid) standard normal random variables. With observations r₁,...,, write down the log-likelihood function for the model esti- mation.arrow_forward5 (Moments of GARCH) For the GARCH(2,2) model rt = 0.2+0.25u1+0.05u-2 +0.30% / -1 +0.20% -2, find cov(rt). 0.0035 ut, ut = στει,στ =arrow_forward
- (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2) sitting over the unit disk.arrow_forwardDoor 87.5in to 47 living 44.75 Closet 96in Window ISS.Sin 48in Train Table 96in 48in 132:2 Windowarrow_forwardClassify the singularities for the following functions at the given point. at a = (a) f(z) = 1 (2 sin z-1)² (b) f(z) = exp(4)-1 at 0 and at a = (c) f(z) = 1-cosh z at a=0 2 In the case of a pole, indicate the order of the pole and its residue.arrow_forward
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