Recall that the Consumer Price Index (CPI) is a measure of inflation reached by comparing current prices with base prices in 1982 – 84 . However, it is a mistake to interpret a change in the CPI as the actual percent of inflation. For example, from 2013 to 2014, the CPI for candy and chewing gum rose from 138.5 to 141.2 . However, the rate of inflation for these items was only $ 141.2 − 138.5 138.5 ≈ 0.019 = 1.9 % .For Exercises 71 – 74 , use the given information to fill in the missing items in the table. Item CPI for Item in 2005 CPI for Item in 2015 Percent of Increase Gasoline 2.186 2.060
Recall that the Consumer Price Index (CPI) is a measure of inflation reached by comparing current prices with base prices in 1982 – 84 . However, it is a mistake to interpret a change in the CPI as the actual percent of inflation. For example, from 2013 to 2014, the CPI for candy and chewing gum rose from 138.5 to 141.2 . However, the rate of inflation for these items was only $ 141.2 − 138.5 138.5 ≈ 0.019 = 1.9 % .For Exercises 71 – 74 , use the given information to fill in the missing items in the table. Item CPI for Item in 2005 CPI for Item in 2015 Percent of Increase Gasoline 2.186 2.060
Solution Summary: The author explains how the CPI for Gasoline decreased from 2.186 to 2.060 from 2005 to 2015.
Recall that the Consumer Price Index (CPI) is a measure of inflation reached by comparing current prices with base prices in
1982
–
84
. However, it is a mistake to interpret a change in the CPI as the actual percent of inflation. For example, from 2013 to 2014, the CPI for candy and chewing gum rose from
138.5
to
141.2
. However, the rate of inflation for these items was only
$
141.2
−
138.5
138.5
≈
0.019
=
1.9
%
.For Exercises
71
–
74
, use the given information to fill in the missing items in the table.
Refer to page 100 for problems on graph theory and linear algebra.
Instructions:
•
Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors.
• Interpret the eigenvalues in the context of graph properties like connectivity or clustering.
Discuss applications of spectral graph theory in network analysis.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]
Refer to page 110 for problems on optimization.
Instructions:
Given a loss function, analyze its critical points to identify minima and maxima.
• Discuss the role of gradient descent in finding the optimal solution.
.
Compare convex and non-convex functions and their implications for optimization.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]
Refer to page 140 for problems on infinite sets.
Instructions:
• Compare the cardinalities of given sets and classify them as finite, countable, or uncountable.
•
Prove or disprove the equivalence of two sets using bijections.
• Discuss the implications of Cantor's theorem on real-world computation.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY