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 Ice cream 179.1 221.8 _ _ _
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 Ice cream 179.1 221.8 _ _ _
Solution Summary: The author explains how the CPI for Ice cream rose from 179.1 to 221.8 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
1.
Prove the following arguments using the rules of inference. Do not make use of
conditional proof.
(а) а → (ЪЛс)
¬C
..¬a
(b) (pVq) →
→r
יור
(c) (c^h) → j
¬j
h
(d) s→ d
t
d
-d
..8A-t
(e) (pVg) (rv¬s)
Лѕ
קר .'
The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1.
Select all that apply:
☐ f(x) is not continuous at x = 1 because it is not defined at x = 1.
☐ f(x) is not continuous at x = 1 because lim f(x) does not exist.
x+1
☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1).
x+→1
☐ f(x) is continuous at x = 1.
2. Consider the following argument:
(a)
Seabiscuit is a thoroughbred.
Seabiscuit is very fast.
Every very fast racehorse can win the race.
.. Therefore, some thoroughbred racehorse can win the race.
Let us define the following predicates, whose domain is racehorses:
T(x) x is a thoroughbred
F(x) x is very fast
R(x) x can win the race
:
Write the above argument in logical symbols using these predicates.
(b)
Prove the argument using the rules of inference. Do not make use of conditional
proof.
(c)
Rewrite the proof using full sentences, avoiding logical symbols. It does not
need to mention the names of rules of inference, but a fellow CSE 16 student should be
able to understand the logical reasoning.
Chapter 8 Solutions
Mathematics All Around, Books a la carte edition (6th Edition)
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