Friday, April 18, 2014

Vocabulary Review

Vocabulary Final Exam Folder | Quizlet


                                                               Section #1

Section #2
Section #3
Section 4
Section 5

Wednesday, March 19, 2014

Linear Programming

-

Vertices:
 0,6
 0,0
 6,0

Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 6
 C=3x+4y

 C=24
 C=0
 C=18



Vertices:
 0,6
 0,4
 -5,4

Constraints
Objective Function: 
x ≤  5
y ≥ 4
-2x + 5y ≤ 30
 C=2x+5y
 C=30
C=20 
 C=10



Vertices:
 0,9.5
 0,2
 5,2

Constraints
Objective Function: 
x ≥ 1
y ≥ 2
6x + 4y ≤ 38
 C=7x+3y
 C=28.5
 C=6
 C=41


Vertices:
 0,8
 0,4
 6,8

Constraints
Objective Function: 
x ≥ 0
y ≤ 8
-2x + 3y ≤ 12
 C=4x+6y
 C=48
 C=24
 C=72


Vertices:
 0,5
 0,0
 2,3
 8,0
Constraints
Objective Function: C= 8x +7y
x ≥ 0
y ≥ 0
4x + 4y ≤ 20
x + 2y ≤ 8
 C=35
 C=0
 C=37
 C=64




Vertices:
 0,4
 0,0
 4,3
 16,0
Constraints
Objective Function: C= 3x + 5y
x ≥ 0
2x+3y ≥ 6
3x - y ≤ 9
x+4y≤ 16
 C=20
 C=0
 C=27
 C=48


Sunday, March 2, 2014

Compound Interest

Compound Interest: Interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.
 
P = principal amount (the initial amount you borrow or deposit)
r  = annual rate of interest (as a decimal)
t  = number of years the amount is deposited or borrowed for.
A = amount of money accumulated after n years, including interest.
n  =  number of times the interest is compounded per year 

    Ex. 1,500 dollars is deposited in the bank paying a yearly interest rate of  4.3% compounded quarterly. what is the balance after 6 years?
P: 1,500
R: 0.043
N: 4
T: 6




Graphing Exponential Equations

Exponential Equation: It is an equation involving exponential functions of a variable.
Exponential Growth: This is a growth whose rate becomes ever more rapid in proportion to the growing total number or size.
  Exponential Decay: It is a Exponential decay is a particular form of a very rapid decrease in some quantity.

 

Arithmetic/Geometric Sequences

     An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.
Ex. 1, 4, 7, 10, 13, 16, 19, 22, 25
       A geometric sequence is a sequence with the ratio between two consecutive terms constant.
Ex. 2, 4, 8, 16, 32, 64, 128, 256