Component 4 Accelerated Patterns of Predictable Change
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Component 4 Accelerated Patterns of Predictable Change
description
Component 4 Accelerated Patterns of Predictable Change. 4. Patterns of Change. t. t. y = C(1-r). y = C(1+r). 4. Patterns of Change. The Rich get Richer…. It Takes Money to Make Money…. Year 1. 4. Patterns of Change. $90 5% annual interest. 4. Patterns of Change. 5%. .05. - PowerPoint PPT Presentation
Transcript of Component 4 Accelerated Patterns of Predictable Change
Component 4Accelerated Patterns of Predictable Change
4 Patterns of Change
y = C(1-r)
ty = C(1+r)
t
4 Patterns of Change
The Rich get Richer…
It Takes Money to Make Money…
Year 14 Patterns of Change
$90
5% annual interest
4 Patterns of Change
5%.05(.05)($90.00) = $4.50$4.50 + $90.00= $94.50
New Principal = $94.50
4 Patterns of Change Year 2
New Principal = $94.50
(.05)($94.50) = $4.725
New Principal = $99.225
ExponentialGrowth
4 Patterns of Change
45 years later…
4 Patterns of Change
y = C (1 + r)t
currentbalance
rate of interest
initial investment
years since initial investment
Write Cinderella’s new equation.
Check your Work
4 Patterns of Change
y = 90 (1 + .05)45
or
y = 90(1.05) 45
Write Cinderella’s new equation.
What is Cinderella’s balance in 45 years?
Check your Work
4 Patterns of Change
What is Cinderella’s balance in 45 years?
Her $90 grew to $808!
y = key to enter 90(1.05)t
push trace then right arrow to trace
x to 45
press enter to learn the value of
y when x = 45
x =45 y =808.6507
4 Patterns of Change
Press the 2nd and TABLE buttons and scroll to the time you wish to see.
x y45 808.6507
Continue
ExponentialGrowth
ExponentialDecay
4 Patterns of Change
y = C (1 - r)t
currentenrollmen
t
5% rate of decay
1200 was opening
enrollment in 2000
How many years will it take?
When will the current enrollment fall to 600?
4 Patterns of Change
Enter 1200(.95)t into y=.
How can you learn the value of t
(or x) when y = 600?Continue
4 Patterns of Change
then press 0 to graph
and arrow over to get as close as you can to y=600
x=14 y=585.21
Continue
4 Patterns of Change
then scroll to y < 600
What advice can you give school administrators?
x=14 y=585.21
Advice
PROPERTIESOn passing, 'Finish' button: Goes to Next SlideOn failing, 'Finish' button: Goes to Next SlideAllow user to leave quiz: After user has completed quizUser may view slides after quiz: At any timeUser may attempt quiz: Unlimited times
4 Patterns of Change
Enrollment is projected to drop below 600 students in 14 years past 2000, or 2014.
Component 1This concludes Component 4.
1 2 3 4Linear Algebra
Rules of Algebra
Using Technology
Patterns of Change
Start Post-Assessment
Post Assessment
PROPERTIESOn passing, 'Finish' button: Goes to Next SlideOn failing, 'Finish' button: Goes to Next SlideAllow user to leave quiz: After user has completed quizUser may view slides after quiz: At any timeUser may attempt quiz: Unlimited times
