today we did some math stuff. we learned about half-life and maintenance level. half-life is half the time for half the substance to be gone. maintenance level is when a person ingests a substance at regular time intervals, the amount of the substance in the blood eventually levels off, of stabilizes.

using microsoft excel for sequences

today in class we used a program called microsoft Excel. it was an easier way to find out the answer for sequences in a faster manner. you type in the first couple formulas and titles and from your specific question. ex. =b2*2 or =C2+.5. then scroll to the bottom to find the answer for the specific number your looking for.

today we learned about sequences
sequences are very exciting and fun to do
there are 2 different kinds of sequences
arithmatic sequences are found by adding or subtracting a common number ex: 2,4,6,8
geometric sequences are found by multiplying a common ratio
ex: 2,4,8,16
a recursive formula is based on the preceding term
the formula is tn=tn-1x2
nMin=1st term
u(n)=formula
u(mim)=value of first term
on the calculator

intro to sequences

The lesson today was too big for EDLINE, so I posted it here.

Hello Everyone,
I would like to start off by stating that we have a test on Personal Finance on, Thursday April 23rd, 2009. So Study Study Study!!

~***Personal Finance Review***~

4.1 Investing Money
Use compound interest formula
Use two spreadsheets
Use TVM Solver
Rule of 72

4.2 Investing for the Future
What is an RRSP – how does it work?
Use spreadsheets created

4.3 Investment Portfolios
Types of investments
Strategies based on age – not complex

4.4 Leasing
Residual values
Use LEASEBUY spreadsheets

4.5 Mortgages
Basic terminology- amortization period, term, rate, semi-annual(2)
Use TVM solver to calculate payments

4.6 Renting vs. Buying
Use RENTBUY spreadsheet – corrections
Advantages & Disadvantages of Renting & Buying a House.

*** Using TVM Solver***

N: Total Number of payments
I%: annual interest rate as a percent
PV: present value
PMT: payment each period
FV: future value, or accumulated amount
P/Y: number of payments per year
C/Y: number of compounding per year.

TVM Question [Example]
1. Solve for FV (future value)

You decide to invest $6500. The bank offers an interest rate of 8.25% compounded annually. What will your money be worth in 7 years if the interest rate remains unchanged?

N=7 N=7
I%=8.25 I%= 8.25
PV= -6500 PV= -6500
PMT=0 PMT= 0
FV=0 FV= 11321.62307
P/Y=1 P/Y= 1
C/Y=1 C/Y= 1

**It shows that in 7 years your money will be worth $11321.62.**

{*For More Review You Can Go To Page 201 In Your Text**}

Today in class we learned about tutorial 4.6 Renting vs. Buying. We learned about Advantages and Disadvantages of Renting and Buying.

Here are some Advantages and Disadvantages of Renting or Buying a house.


Advantage Disadvantage

Renting : Not locked In Not Your Own
Cheaper Can Not Renovate

Short- Term Money Down the Drain
No Pets/ No Parties:(

Buying: Your Own Locked In
You Can Do Whaterver You Want Monthly Mortgage and Other Bills
Long-Term
Expensevi

This may come in handy to those graduating and moving next year. This may also help you when it comes to renting a house.

**For more information on tutorial 4.6 Renting vs. Buying you can go to page 191 in your text.**

This concludes this blog. Remember to STUDY for the test Thursday! Have a Great Day!
Peace Brady!

today we learned about the advantages and disadvantages of leasing.
there are 3 main reasons people lease, rather than buy a new vehicle:
*people who like to drive a new car every few years will pay much less leasing than if they buy. they also don't have to deal with getting rid of their old car, they just turn it in at the end of the lease period.
*lease payments are usually lower than loan payments for any given car.
*leasing gives people the opportunity to drive a more expensive car than they could afford to buy.

There are 3 distinct disadvantages to leasing a car.
first, if you continually lease your cars, you will have never ending payments. if you look forward to paying off your car and owning it free and clear, don't lease.

second, if you decide to buy a car at the lease-end, you'll pay several thousands of dollars more than if you had bought initially. for example, if you buy a car, paying $500 a month for four years, you'll pay a total of $24000. you might be able to lease if for only $400 a month(total payment of $19200), but you'll probably have to pay another$8000 to keep it and if you finance that $8000 you'll pay even more.

third, most leases charge you as much as 25 cents a mile if you exceed the annual limit, usually between 12000 and 15000 miles. if you do extensive driving, leasing probably is not for you.

Hey peeps! Totally made a new vijeo yo. Madd Skillz!

(English translation: Good evening Sir or Madam, We the people at Svrss have recently redone a whole new Multimedia event showcasing the wonders of Mathematics. We hope you enjoy the presentation.)

March 25, 2009

Today in Mr. Bennets class we learned how to use thie TVM solver on our calculators. The TVM solver is pretty handy and could very well be used in everyday situations. TVM stands for Time, Value of Money.

To access the TVM solver press 2nd function finance.
Then press enter on the TVM solver.
Then you should see... N ( Total number of payments)
I% ( Annual interest rate as a percent)
PV ( Present value)
PMT ( Payment each period)
FV ( Future value, or accumulated amount)
P/Y ( Number of payments per year)
C/Y ( Number of compounding periods per year)


A positive value indicates the amount is earned, and a negative value indicates the amount invested.

An example of what we did in class:

Solve for FV ( future Value)

You decide to invest $6500. the bank offers a interest rate of 8.25% compounded annually. What will your money be worth in 7 years if the interest rate remains the same?

Step 1- find the TVM solver, then fill it in
N=7
I%=8.25
PV=-6500
PMV=0
FV=0
P/Y=1
C/Y=1

Then to figure out what the future value will be you put your cursor beside FV and press ALPHA then ENTER

The right answer should be
FV=11321.62307
This means your investment will be worth $11321.62 in a total of 7 years time.


We also learned the RULE OF 72
This rule figures out how long it will take to double your money.
The formula is:
T = 72 / Annual interest rate

After we were done listening to Mr. Bennet we were assigned Page 158 in our text books.
We were to do questions #2 and #6 using the TVM solver.

Design and measurement

Today in Math we started a new unit Design and measurement. In this unit we will each have to make a twenty mark question for our up coming test. Its pretty basic except for a couple of things.
3 feet = 1 yard 1yd^2 = 9 ft^2 12 inches in a foot. Make sure you add the taxes after your done adding up your total. When you add your taxes to your total amount you multiply your total by 1.12 because PST = 7% GST = 5%.

stats test Overview

Stats overview - test is Thursday

Mean, median and mode
Frequency Table

3.1 Types of distributions – Binomial – 5 step test
Binompdf command (eg. Exactly 17/20 free throws)

Standard Deviation – Kingston and Brooks Expressways

3.2 Mean and Standard Deviation
Mean of binomial distributions μ= np
Standard deviation

3.3 Normal Distribution
68 – 95 – 99% rule
Using “exact” z-scores ±1 ±2 ±3 σ

3.4 Standard Normal Distribution
- Using z-scores
- ShadeNorm – finds the % given z-scores

InvNorm - left to right
- finds z-score given %

3.5 Normal Approximation to the Binomial Distribution
npq > 10 μ= np
ShadeNorm

3.6 Confidence Intervals μ ± 1.96σ
1-Prop Z Int
Margin of error
% margin of error.

sample video

This is a link to a sample math video. You can use this for inspiration for your bonus assignment.

Today we learned how to do confidence intervals. an important formula is mu plus or minus 1.96(standard deviation). thats how you get your confidence interval. They would use this kind of stuff in surveys. It is alot easier to do on the calculator. We are having our stats unit test this Thursday but Nick will write in on Wednesday.

hi how do you do digital friends? Here ya go...

today we are on tutorial 3.5 on page 126 in our little math book and this unit we are learning the normal approximation to a binomial distribution. here is some things we have learned on Friday the 13th.

The bigger the value of n the harder the binompdf and the closer the normal approximation is to the correct value.

Rule: if N P Q is greater than 10 then use the normal approximation to the binomial distribution.

P129
example

n= 650
p=.048
q=.952 100%-4.8%=95.2%

npq 650(.048)(.952)=29.7>10 its OK! guys


mean=650(.048)=31.2
standard deviation= square npq square 29.7=5.45

z=x-m/standard deviation 30-31.2/5.45=-.22

draw the graph

shade norm(-.22,5)= .587=58.7%

how did we do it?
here we go!

step 1: determine npq *remember q=1-p
step 2: determine if npq is bigger than 10
step 3: determine mean and standard deviation * remember mean = np
and standard deviation = square npq
step 4: calculate appropriate z score * remember z=x-m/standard deviation
step 5: just draw the graph
step 6: use shade norm appropriately

thats all remember to do page 1-8 on page # 130



holla

March 12/2009

Today In class we started off with some mental math. After that we went over vector question #7 from exercise 3.
He then showed us how to print from Euclid, by pushing the prtSc button which is on the top of the key board, then you open up word and right click and paste your picture, and she's ready to print.
We then did a vector question that we handed in for marks . The question was, Diver on ocean floor, walking 40m in a direction w37 degree's followed by another walk measured 25m at a 130 degree bearing calculate Resultant? We then went over the question and the answer was, the resultant vector is 42.09m, in a direction 18 degrees west of south.

Hello all fello math students! Its Courtney here, reporting to you on this fine Thursday morning. I can't beleive tomorrow is Friday already, not to mention Friday the 13th! Look out!

Today, Mr. Bennet was in a dandy mood and gifted us with a work period, but of course there is always a catch! We have to show him what we have accomplished through out the class and what we have learned. At the beginning of class, Mr. Bennet handed out our Statistics unit project titled "Quality Control in the Manufacturing Industry". He also handed out an old statistics test for review, so we can study for the test coming up on either Wednesday or Thursday of next week.

Since I got to put down a question plus the answer, I'll give ya all a head start on the statistics review test! ;)

1. The following data represents the time spent in a doctor's waiting room in minutes.

2.5 12.5 15 3 4.5
13 16 10 6 9
10.5 11 15 5 15.5
15 20 35 11 15
6 10 25 3.5 9
8 15 20 5 7

Find the mean and standard deviation of the data. Is the data normally distributed? Justify your answer with your knowledge of the normal curve.

*Enter All in L1 in graphing calculator
Stat Calc
1 Var Stats L1

Mean= 11.8
Standard Deviation= 6.93

+-/ 1 Standard deviation = 11.8 +- 6.93= 4.87 -> 18.73

how many between?
22/30= 73%

+-/ 2 Standard deviation = 11.8 + 2 (6.93) = -2.06 -> 25.66

how many between?
all red 29/30 = 97%

[Almost follows 68, 95, 99% Rule, Some what normal.]


And there you have it! Well Im out, I gots lots of work to do! :)

Keep it Real...
Courtney

March 11th Lesson

Helllo! well today in class we learned alot..... ha.
today we learned about Percentiles and what they are used for and do.
Example 1: 80 percentile
--> Means that you are better than 80% of the population
Example 2: 100% percentile
--> Means you are 100% the BEST! whoo

We had also learned about Invert Norm which is the opposide of shade norm.
*Given the shaded area, invert norm returns or gives back the z score that would shade that are.
..Do you understand?
*Shade Norm you know the z-score and want to know the percent%
*Invert Norm you know the percent% and want to know the z score

To find Shade Norm on your calculator you hit:
2nd DISTR -> DRAW 1:ShadeNorm(

To find Invert Norm on your calculation you hit:
2nd DISTR 3: invNorm(

Today for work we got a hand out called excercises standard normal distributions and were to do numbers 1-15 and also got another hand out called invert norm questions and were to do numbers 1-6.

well thats it for today.. peace

Heey Everyone,

Here are some ways to better understand Binomial Distribution,

For a Binomial Distribution

• m= mean
• n = number of trials
• p= probability of sucess
• q= probability of fail
• σ = standard deviation
• √= square root

Equations:

• m=np

• σ=√npq

• q= 1-p
  

[**For extra work on Binomial Distribution you can go to page. 108 in your textbook**]

Talk To You Later,

Brady*

today in class i fell asleep again so my blogs gonna be bad and i dont like constructive sentences we learned about standard normal distribution tutorial 3-4 the formula is z=x-mew over sigma the calculator comes in useful in this unit so remember to not leave it at home like i did the steps are
1 2nd function distribution
2 draw_ shade norm it always goes left to right
3 type in the numbers put brackets in the right place
4 write down the answer
if there are two shaded areas you need to find add them up to get the answer

3-3

Greetings, to whomever actually happens to be reading this

Today, to the best of my understanding, we learned about standard deviation. A majority of the examples and work we accomplished pertained to the 68-95-99% Rule. The first standard deviation contains 68% of data. 95% of data is within two standard deviations of the mean, and 99.7% is within 3 standard deviations.

This is a very vague description. For futher inquiry, as well as assigned homework, see PAGE 116 QUESTIONS #1-9