3. DEVPROJECT.notebook
3
June 17, 2008
Jun 1610:48 p.m.
• Construct a diagram
• Answer the question
• Construct a Matrix
Jun 1611:08 p.m.
• Construct a Matrix
Using the diagram construct a matrix, use
numbers to indicate the number of routes
to and from each destination.
FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
M
alina's house
Pyram
id ParkLibrary
Kuzco's Palace
Malina's house Library
Pyramid Park Kuzco's Palace
Jun 1611:08 p.m.
• Construct a Matrix
Using the diagram construct a matrix, use
numbers (0 or 1) to indicate the number
of routes to and from each destination.
Malina's house Library
Pyramid Park Kuzco's Palace
FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
M
alina's house
Pyram
id ParkLibrary
Kuzco's Palace
10 1 1
1 1 0 0
0 0 0 0
10 0 0
Jun 1610:48 p.m.
• Construct a diagram
• Construct a Matrix
• Answer the question
Jun 1611:31 p.m.
FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
M
alina's house
Pyram
id ParkLibrary
Kuzco's Palace
10 1 1
1 1 0 0
0 0 0 0
10 0 0
• Answer the question
How many ways can Kuzco get from his house to
Malina's with exactly one stop over?
A =
From Kuzco`s to Malina`s with exactly one stopover = A2
Jun 1611:31 p.m.
FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
M
alina's house
Pyram
id ParkLibrary
Kuzco's Palace
10 1 1
1 1 0 0
0 0 0 0
10 0 0
• Answer the question
How many ways can Kuzco get from his house to
Malina's with exactly one stop over?
A =
From Kuzco`s to Malina`s with exactly one stopover = A2
A2
= FROM
TO
Malina's house
Pyramid Park
Library
Kuzco's Palace
M
alina's house
Pyram
id ParkLibrary
Kuzco's Palace
1
1
1
0 0
0 0 0 0
1 0 0
1 1
2
2
7. DEVPROJECT.notebook
7
June 17, 2008
Jun 171:26 a.m.
• Organize the question
Because it says 3 different letters, every time you write the number
of outcomes on one line, the number of outcomes on the next line is
one less than the previous.
25 1 = 24
26 25 24
Kuzco and Kronk are trying to break into Yzma`s laboratory.
Inorder to get into her lab they need to punch in Ymza`s secret code.
The code consists of three different letters and three numbers from 0
to 9.
How many different possible codes are there?
Jun 171:26 a.m.
Kuzco and Kronk are trying to break into Yzma`s laboratory.
Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of six different letters and three numbers
from 0 to 9.
How many different possible codes are there?
• Organize the question
Now there are no restrictions on repeating numbers or being able to
use certain numbers, therefore all numbers can be reused.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 = 10 characteristics
All can be repeated.
26 25 24 10 10 10
Jun 171:26 a.m.
• Organize the question
• Answer the question
Jun 171:26 a.m.
Kuzco and Kronk are trying to break into Yzma`s laboratory.
Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of six different letters and three numbers
from 0 to 9.
How many different possible codes are there?
• Answer the question
Now, multiply each set of digits.
26 25 24 10 10 10x x x x x
Jun 171:26 a.m.
Kuzco and Kronk are trying to break into Yzma`s laboratory.
Inorder to get into her lab they need to punch in Ymza`s secret
code. The code consists of six different letters and three numbers
from 0 to 9.
How many different possible codes are there?
• Answer the question
Now, multiply each set of digits.
26 25 24 10 10 10x x x x x
= 15,600,000
Jun 172:19 a.m.
There are 15,600, 000 different possible codes that could
be used as Yzma`s security lab code.
10. DEVPROJECT.notebook
10
June 17, 2008
Jun 172:41 a.m. Jun 172:36 a.m.
• Construct a State Matrix
• Contruct a diagram
• Construct a transition
matrix
• Multiply the state matrix and transition matrix
Jun 172:50 a.m.
• Construct a transition
matrix
Jun 172:36 a.m.
• Construct a State Matrix
• Contruct a diagram
• Construct a transition matrix
• Multiply the state matrix and
transition matrix
Jun 1712:01 a.m. Jun 172:36 a.m.
• Construct a State Matrix
• Contruct a diagram
• Construct a transition matrix
• Multiply the state matrix and transition matrix
• Answer the question
12. DEVPROJECT.notebook
12
June 17, 2008
Jun 173:24 a.m.
Kuzco and Malina decide to buy are car. They must take out a
loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.
How many payments must they make?
• Use your the TVM solvers on your TI83
graphing calculator.
N =
I% =
PV =
PMT =
FV =
P/Y =
C/Y =
Set up your TVM solver by
filling in the information.
Jun 173:24 a.m.
Kuzco and Malina decide to buy are car. They must take out a
loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.
How many payments must they make?
• Use your the TVM solvers on your TI83
graphing calculator.
N =
I% = 4
PV = 12358.06
PMT = 245.00
FV = 0
P/Y = 12
C/Y = 12
Set up your TVM solver by
filling in the information.
Jun 173:24 a.m.
Kuzco and Malina decide to buy are car. They must take out a
loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.
How many payments must they make?
• Use your the TVM solvers on your TI83
graphing calculator.
• N =
I% = 4
PV = 12358.06
PMT = 245.00
FV = 0
P/Y = 12
C/Y = 12
N = number of payments
**Our unknown
* PRESS (ALPHA) and (ENTER)
Jun 173:23 a.m.
• Use your the TVM solvers on your TI83 graphing calculator.
• Answer the question
Jun 173:24 a.m.
Kuzco and Malina decide to buy are car. They must take out a
loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.
How many payments must they make till they pay off the loan?
• Use your the TVM solvers on your TI83
graphing calculator.
• N =
I% = 4
PV = 12358.06
PMT = 245.00
FV = 0
P/Y = 12
C/Y = 12
N = number of payments
**Our unknown
* PRESS (ALPHA) and (ENTER)
Jun 173:24 a.m.
Kuzco and Malina decide to buy are car. They must take out a
loan of $12, 358.06, they decide to pay $245.00 monthly. The
interest rate for financing is 4%.
How many payments must they make?
• Use your the TVM solvers on your TI83
graphing calculator.
• N = 55.31820057
I% = 4
PV = 12358.06
PMT = 245.00
FV = 0
P/Y = 12
C/Y = 12
N = number of payments
**Our unknown
13. DEVPROJECT.notebook
13
June 17, 2008
Jun 173:33 a.m.
• N = 55.31820057
I% = 4
PV = 12358.06
PMT = 245.00
FV = 0
P/Y = 12
C/Y = 12
• Answer the question
Jun 173:34 a.m.
Kuzco and Malina must make 55.31 payment before they fully
pay off their car loan.
Jun 173:37 a.m.
done by: