Wednesday, April 2, 2014

USA Test Prep: Review 1

SCORE: 




5. I did not multiply 20.5 x 30.5. I multiplied 20 x 30

9. I multiplied 36 by 75 instead of 3 x 75

 13. I didn't know how to do this problem 

 19. I was thinking of a smaller pool 

Monday, March 24, 2014

Linear Programming


Linear Programming

(Worksheet problems)

#4

Vertices:
 (0,0)
 (0,6)
 (6,0)

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




#5 

Vertices:
 (-5,4)
(5, 4)
 (5, 8)

Constraints
Objective Function: C=2x+5y  
x ≤ 5
y ≥ 4
-2x +5 y ≤ 30
C=2x+5y
C=2(-5)+5(4)
C=10
C=2x+5y
C=2(5)+5(4)
C= 30
C=2x+5y
C=2(5)+5(8)
C=50


# 6

Vertices:
 (1, 2)
 (5,2)
 (1,8)

Constraints
Objective Function: C= 7x+3y 
x ≥ 1
y ≥ 2
6x +4 y ≤ 38
C= 7x+3y
C=7(1)+3(2)
C= 13
C=7x+3y
C=7(5)+3(2)
C= 41
C= 7x+3y
C=7(1)+3(8)
C= 31




#7

Vertices:
 (0, 4)
 (0, 8)
 (6, 8)

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



#8

Vertices:
 (0,0)
 (5,0)
 (2,3)
 (0,4)
Constraints
Objective Function: C= 8x+7y
x ≥ 0
y ≥ 0
x + y ≤ 5
C= 8x+7y
C=8(0)+7(0)
C=0
C=8x+7y
C=8(5)+7(0)
C=40
C= 8x+7y
C=8(2)+7(3)
C=37
C= 8x+7y
C=8(0)+7(4)
C=28



#9

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



Monday, February 17, 2014

Compound Interest Formula

Compound Interest Formula:

formula:

 

P= principal

A= amount

N= number of times per year, interest is compounded

T= time in years

R= rate of interest 

Wednesday, February 5, 2014

Graphing Exponential Growth/Decay

GRAPHING EXPONENTIAL GROWTH/DECAY: 

y= aŸbx-h+k
a= multiplier
         a>1 = stretch 
         0<a<1 = compression 
         a<0 (negative) = flipped over x-axis 
b= base 
         b>1 = GROWTH (always increasing)
         0<b<1 = DECAY (always decreasing) 
h= left/right (opposite) 
k= up/down


Domain

(-∞,∞) = All Real numbers 
Range:     y>k (Positive)
                y<k (Negative) 


Asymptote
y=k