Linear Programing

Vertices:	(0,0)		(0,6)		(6,0)
Constraints	Objective Function: C = 3x + 4y
x ≥ 0 y ≥ 0 x + y ≤ 6	C = 3(0)+4(0) C = 0	C = 3(0)+4(6) C = 24		C = 3(6)+4(0) C = 18

Vertices:	(-5,4)		(0,6)		(0,4)
Constraints	Objective Function:C =2x+5y
x ≤ 5 y ≥ 4 -2x+5y ≤ 30	C =2(-5)+5(4) C= 10	C=2(0)+5(6) C= 30		C=2(0)+5(4) C=20

Vertices:	(0,9.5)		(0,2)		(5,2)
Constraints	Objective Function: C = 7x + 3y
x  ≥ 1   y  ≥ 2 6x + 4y ≤ 38	C=7(0)+3(9.5) C= 28.5	C=7(0)+3(2) C=6		C=7(5)+3(2) C= 41

Vertices:	(0,8)		(0,4)		(6,8)
Constraints	Objective Function:
x ≥ 0 y≤  0 -2x+3y ≥ 12

<<<Image Goes Here>>>
Vertices:
Constraints	Objective Function:
x ≥ 0 y  0 x + y ≤ 5

<<<Image Goes Here>>>
Vertices:
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 5

<<<Image Goes Here>>>
Vertices:
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 5

General forms of a sequence.

General Form of an Arithmetic Sequence

a_n = a₁ +(n - 1)d

General Form of an Geometric Sequence

a_n = a₁·r^n-1

This is just the basic formulas for solving these problems. 

Exponential Growth and Decay/ Compound intrest formula

y = a·b^x-h+k

Growth

b > 1

Decay

0 < b < 1

Compound Interest Formula

General Formula for Equation of Exponential Decay

Example of Equation & Graph of Exponential Decay Function 

Below is a picture of one of the most commonly studied examples of exponential decay, the equation

y = (½)^x

Graphs of Exponential Decay Functions and Equations

Below you can compare the graphs for three different exponential decay equations

http://www.mathwarehouse.com/exponential-decay/graph-and-equation.php

This is a great website that can help you if you do not understand this. It has interactive questions and lots of cool stuff.