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1.1, #26a
The formulas entered into the cells would be:
B3:
= B2 * 0.8
B4:
= B3 * 0.8
B5:
= B4 * 0.8
The numbers that would be displayed in those cells would be:
B3:
24,000
B4:
19,200
B5:
15,360
1.1, #26b
Starting with the line showing 0 years, there would be a total of five
lines in the table. Beginning with the sixth line of the table, the vehicle
values would be less than $10,000.
The table would look like this:
Number of years
0
1
2
3
4
5
Value
30,000
24,000
19,200
15,360
12,288
9830.40
1.2, #2
A counter example to the generalization stating “if a number is even, then it
ends in 2” would be any number which ends in 4, 6, 8, or 0, because such a
number would also be even.
1.2, #14
Missing numbers:
Type of sequence:
Common difference or ratio:
17, 21, 25
arithmetic
4
1.2, #22
Hypothesis:
Conclusion:
If it has four connected sides
A figure is a quadrilateral
1.2, #38
Denying the conclusion
1.2, #40
Type of reasoning:
Inductive
1.2, #56
Truth value:
True
Explanation:
For the disjunction to be true, either p or ~q must be true.
Since p is given as true, the value of ~q is irrelevant, and
the truth value of the disjunction is “true”
1.3, #16
The two numbers are 52 and 27.
Solution:
Since the difference between the two numbers is not zero, the numbers
must be different from each other.
Since each number is made up of the same two digits, and given the fact
the numbers cannot be the same, then XY can be used to represent one
of the two two-digit numbers. The other number must be YX, since it
cannot also be XY.
This gives rise to two equations:
XY + YX = 77
XY – YX = 27
Adding the two equations together gives:
2XY + 0 = 77 + 27
2XY = 104
XY = 52
It follows that YX is then 25.
As a check:
XY + YX = 52 + 25 = 77 (Checks.)
XY – YX = 52 – 25 = 27 (Checks.)
Ch. 1 Rev, #4a
Hypothesis:
Conclusion:
If Morgan Freeman gives a good performance
He will win the Oscar
Ch. 1 Rev, #4b
Hypothesis:
Conclusion:
If she wins an Oscar
The actress will be in high-demand
Ch. 1 Rev, #10
Statement of the disjunction:
Truth value:
Explanation:
p ~ p
True.
 value of the disjunction is true if either p or ~p
The truth
is true. If either p or ~p is false, the other one must
necessarily be true. Since one of the arguments of the
disjunction will always be true, the truth value of the
disjunction is true.
Ch. 1 Rev, #12
Let S represent: Ellen worked overtime on Sunday
Let W represent: Ellen worked overtime on Wednesday
Let Th represent: Ellen worked overtime on Thursday
She will earn enough money if the truth value of the following statement is
true:
S W  Th
The truth table for this statement is:

S
T
T
F
F
T
T
F
F
W
T
F
T
F
T
F
T
F
Th
T
T
T
 T
F
F
F
F
S W 
S W  Th
T
T
T
F
T
T
T
F
T
T
T
F
F
F
F
F
There are three combinations which produce a truth value of “true”.
It would appear from the truth table that any of the first three combinations
would satisfy the requirements, meaning that she has three “chances” to earn
the money. However, the first line is redundant. Since she has worked on
Sunday, whether she works overtime on Wednesday or not is irrelevant and
has no effect on the outcome.
As a result, she has only two “chances” to meet the requirements.
Ch. 1 Rev, #16
1.
2.
3.
4.
5.
Make a model
Write an equation
Draw a diagram
Look for a pattern
Work backwards
Ch. 1 Rev, #26
Make a table:
First burger: (1 @ $3.00)
Second burger: (1 @ $2.00)
Third & Fourth burger: (2 @ 1.50)
Drinks (4 @ $1.00)
Subtotal
Tax (subtotal * 0.07)
Total
$3.00
$2.00
$3.00
$4.00
$12.00
$0.84
$12.84
The amount of change received from a $20 bill is then:
$20 - $12.84 = $7.16