I teach AP Calculus, Pre AP Precalculus, and Advanced Algebra/Trigonometry at Muscle Shoals High School. In my spare time, I enjoy spending time with my family and granddaughters. My husband and I like to travel and visited Germany and France last summer. I also enjoy reading, art and music.
Last spring, I read The Other Boleyn Girl by Philippa Gregory. I am currently reading the Constant Princess (by the same author).
I love "anything about England".
"SUGGESTED READING LIST" The Mathematical Traveler. It is a great book that combines history and interesting facts about famous mathematicians. See me if you want to "check it out".
3 comments:
8.2
In lesson 8.2, with the given half-life of a radioactive substance, find the amount of a substance that remains after X hours.
0|6 |12| 18 | 24 | 30 | 36
100|50|25|12.5|6.25|3.13|1.56|
TOP:# of hrs. elapsed
BOTTOM: amount of substance remain.
A=BEGINNING(initial)amount
X/# of hrs. in half-life
Y=AB
Where B=1/2
EXAMPLE:
Find the amount of technetium that remains after 75 hrs.
Y=100(1/2)^(75/6)=O.17
PART 2
Continuously compounded interest problems.
OBJECTIVES:use the nuber "e" to solve problems involving continuous growth.
e=2.7182818284904523...
For continuously compounded interest problems, use this formula
Y=Pe^rt
(Y being the amount of money after time t)
(P the principal, beginning amount of money)
(R=interest rate)
(T=time in years)
EXAMPLE:
suppose you invest $100 at an annual interest rate of 4.8% compounded continuously, how much will you have after 3 years?
Y=Pe^rt
Y=100e^(.048(3))
Y=$115.49
Kyle :)
Kevin Bailey is also the "SCRIBE" for lesson 8.2. Kevin, you may post your BLOG before Monday, January 29, 2007
:)Mrs. S
Well it seems to work fine from school. :/ Well without further ado, I present my notes for lesson 8.2
Lesson 8.2
- Properties of Exponential
Functions -
Objective 1
Comparing Graphs
y=ab^x graphs values greater than zero, when a is less than zero y=ab^x is a reflection of y= |a|b^x over the x axis
Objective 2
The Number e
The number e is the asymptote of y=(1+1/x)^. The number e represented in numerical form is e=2.71828...
This unique number is used to calculate compound interest with the "pert" formula.
A = Pe^rt
Where:
A = Ammount
P = Prinicpal
e = The number e
r = rate
t = time
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