Friday, April 18, 2014

Quizlet

Vocabulary Final Exam Folder | Quizlet

Test #1


Test #2

Test #3


Thursday, March 20, 2014

Linear Programming

Vertices:
 (0,6)
(0,0) 
(6,0)

Constraints
Objective Function: C=3x + 4y
x ≥ 0
y ≥ 0
x + y ≤ 6
 24
 0
 24



Vertices:
 (-5,4)
 (5,8)
 (5,4)

Constraints
Objective Function: C=2x + 5y
x ≤ 5
y ≥ 4
-2x + 5y ≤ 30
10
50
30



Vertices:
(1,8)
(1,2)
(5,2)

Constraints
Objective Function: C=7x + 3y
x ≥ 1
y ≥ 2
6x + 4y ≤ 38
31
11
41


Vertices:
(0,4)
(0,8)
(6,8)

Constraints
Objective Function: C=4x + 6y
x ≥ 0
y ≤ 8
-2x+3y ≥ 12
28
52
240


Vertices:
(0,0)
(0,5)
(2,3)
(8,0)
Constraints
Objective Function: C=8x + 7y
x ≥ 0
y ≥ 0
4x + 4y ≤ 20
 x + 2y ≤ 8
15
64
35
37


Vertices:
 (0,2)
(0,4)
 (4,3)
(3,0)
Constraints
Objective Function: C=3x + 5y
x ≥ 0
2x + 3y ≥ 0
x + y ≤ 5
C=9
C=27
C=20
C=10

Friday, February 28, 2014

Graphing Exponential Growth & Decay

Graphing Exponential Growth & Decay

Y- a×b x-h +K
A- Multiplier
A>1- Stretch
A<a<1- Compression
A<0 (negative)- Flipped over x-axis
B- Base has an exponential (always positive)
0>b<1- Decay (always decreasing)
Asymptote-y=k
Domain-(-∞, ∞) =all real numbers
Range-y>k (a=positive)
          y<k (a=negative)
Exponential equations domain is always all real numbers.

Thursday, February 27, 2014

General Forms of a Sequence

General Forms of a Sequence

 


Sequence- Is an ordered list of terms or elements.

Arithmetic Sequence- the difference between one term and the next is a constant. Also called the Common Difference.
Geometric sequence formula-  In a Geometric Sequence each term is found by multiplying the previous term by a constant. Also called the Common Ratio.

Finite sequence- Is a function with domain 1,2,3.

Infinite sequence- Is a function with domain 1,2,3,4.... etc.

Series- Is the sum of a sequence.

Explicit formula- Each domain is an answer not based on any values.

Recursive Formula- Each domain is a answer based on a previous answer.

Tuesday, February 25, 2014

Compound Interest Formula

Compound Interest Formula



Pprincipal amount (the initial amount you borrow or deposit)
rannual rate of interest (as a decimal)
nnumber of years the amount is deposited or borrowed for
Aamount of money accumulated after n years, including interest
nnumber of times the interest is compounded per year


ExampleAn amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. What is the balance after 6 years?

SolutionUsing the compound interest formula, we have that
P = 1500, r = 4.3/100 = 0.043, n = 4, t = 6.

So,the balance after 6 years is approximately $1,938.84.


Example Solution