Answers to Extra Mod Problems
1. 1
2. 3
3. 4
4. 1
5. 0
6. 1
7. A) 3 B) 7 C) 8 D) 5 E) anything mod 10 is just the last digit.
8. A) 3 B) 3 C) 3 D) 2 E) anything mod 5 is just the last digit mod 5.
9. A) 1 B) 2 C) 1 D) 1 E) Even number mod 2 = 0. F) odd nu

Find the nearest neighbor circuit and its total weight starting at each vertex. Then see if you
can find a circuit that has less total weight than any of the nearest neighbor circuits.
Start at A
Start at B
A
A
5
20
B
11
8
C
6
B
4
8
9
D
2
11
9
5
8
6
9
4
8

MGF 1107
Extra Mod Arithmetic Problems
For problems 1 6 find the mod values.
1. 46 mod 9
2. 52 mod 7
3. 34 mod 6
4. 65 mod 8
5. 72 mod 9
6. 56 mod 5
7. Find the following mod 10 values:
A) 13 mod 10
B) 57 mod 10
C) 128 mod 10 D) 2345 mod 10
E) Looking at

Math For Liberal Arts
Fall Term 2010
Course:
MGF 1107 Math For Liberal Arts
(3 credit hours)
Text:
Mathematics Beyond the Numbers by Gilbert, Hatcher
Instructor:
James Lang
Office: 4-235
Phone: 407-582-2490
Email: langj@atlas.valenciacc.edu
Web: http:/eas

MGF 1107
Graph Theory In Class Review
Name_
This activity will be done in class. Working in groups is encouraged, but each member of
the group will turn in a completed review. Please read and follow the directions
carefully. Full credit will not be given

Using the Finance Menu.
On the TI-83 the Finance menu is accessed by as 2nd x-1 key and on the TI-83 Plus you access it
with APPS key. On both calculators you get the screen below by choosing TVM Solver. The
way you use the solver is to fill in the values

Simple Interest: F = P + Pr t
MGF 1107
Chapter 3 Review
r nt
Compound Interest: F = P1 +
n
In each problem show your work clearly (including your answers) If you use a formula
show the formula written with the values substituted into it before giving t

Additional Problems for section 3.5 in MGF 1107
1. Suppose you have a balance owed on a car loan of $10000. The interest rate is 8% per year
compounded monthly and your monthly payment is $300.
A) At end of the month when you make a payment, how much of t

Cryptology
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
A
1
3
5
7
9
11
15
17
19
21
23
25
Multiples of 26
0
26
52
78 104 130 156 182 208 234
260 286 312 338 364 390 416 442 468 494

MGF 1107 Savings Activity:
Suppose you deposit $50 per month into an account earning 5% per year compounded
monthly. You want to know how much you will have at age 60 if you start the savings
plan at various ages. Also calculate how much of the final valu