Stocks The table presents the 2016 percentage change in the stock price for six well-known companies. (Data from: finance.yahoo.com .) Company Percentage Change American Express +10.6% Coca-Cola − 1.0 % ExxonMobil +14.9% Hewlett Packard +63.1% Ford − 5.7 % Red Robin Gourmet Burgers − 8.0 % Suppose that we wish to determine the difference in percentage change between two of the companies in the table, and suppose that we are interested only in the magnitude, or absolute value, of this difference. Then we subtract the two entries and find the absolute value. For example, the difference in percentage change of stock price for American Express and Ford is | 10.6 % − ( − 5.7 % ) | = 16.3 % Find the absolute value of the difference between the two indicated changes in stock price. American Express and Ford
Stocks The table presents the 2016 percentage change in the stock price for six well-known companies. (Data from: finance.yahoo.com .) Company Percentage Change American Express +10.6% Coca-Cola − 1.0 % ExxonMobil +14.9% Hewlett Packard +63.1% Ford − 5.7 % Red Robin Gourmet Burgers − 8.0 % Suppose that we wish to determine the difference in percentage change between two of the companies in the table, and suppose that we are interested only in the magnitude, or absolute value, of this difference. Then we subtract the two entries and find the absolute value. For example, the difference in percentage change of stock price for American Express and Ford is | 10.6 % − ( − 5.7 % ) | = 16.3 % Find the absolute value of the difference between the two indicated changes in stock price. American Express and Ford
Solution Summary: The author calculates the absolute value of the difference between the stock price of American Express and Ford.
Stocks The table presents the 2016 percentage change in the stock price for six well-known companies. (Data from:finance.yahoo.com.)
Company
Percentage Change
American Express
+10.6%
Coca-Cola
−
1.0
%
ExxonMobil
+14.9%
Hewlett Packard
+63.1%
Ford
−
5.7
%
Red Robin Gourmet Burgers
−
8.0
%
Suppose that we wish to determine the difference in percentage change between two of the companies in the table, and suppose that we are interested only in the magnitude, or absolute value, of this difference. Then we subtract the two entries and find the absolute value. For example, the difference in percentage change of stock price for American Express and Ford is
|
10.6
%
−
(
−
5.7
%
)
|
=
16.3
%
Find the absolute value of the difference between the two indicated changes in stock price.
(^)
k
Recall that for numbers 0 ≤ k ≤ n the binomial coefficient (^) is defined as
n!
k! (n−k)!
Question 1.
(1) Prove the following identity: (22) + (1121) = (n+1).
(2) Use the identity above to prove the binomial theorem by induction. That
is, prove that for any a, b = R,
n
(a + b)" = Σ (^)
an-
n-kyk.
k=0
n
Recall that Σ0 x is short hand notation for the expression x0+x1+
+xn-
(3) Fix x = R, x > 0. Prove Bernoulli's inequality: (1+x)" ≥1+nx, by using
the binomial theorem.
-
Question 2. Prove that ||x| - |y|| ≤ |x − y| for any real numbers x, y.
Question 3. Assume (In) nEN is a sequence which is unbounded above. That is,
the set {xn|nЄN} is unbounded above. Prove that there are natural numbers
N] k for all k Є N.
be natural numbers (nk Є N). Prove that
Question content area top
Part 1
Find the measure of
ABC
for the congruent triangles ABC and
Upper A prime Upper B prime Upper C primeA′B′C′.
79 degrees79°
1533
2930
Part 1
m
ABCequals=enter your response heredegrees
Joy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways 
Chapter 1 Solutions
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
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