My D.E.V. Project

Question #1

George wants to invest $10,000 into an account. He has two options, the first bank offers to invest it at a 7.2% rate for 7 years. His second option from another bank is to invest it at a 9% rate but for only for five years. He wants to know which investment will give him more money after the time is up. Which investment will give more and by how much?George then plans to invest his money a second time at a 12% rate for two years. What will be George's final amount of money in both scenarios? All of Goerge's investments are compounded yearly

Option # 1

N=7
I%=7.2
PV=-10000
PMT=0
FV=16269.09883
P/Y=1
C/Y=1
PMT: END BEGIN

Option #2

N=5
I%=9
PV=-10000
PMT=0
FV=15386.23955
P/Y=1
C/Y=1
PMT: END BEGIN


The first option will give him more by $882.86 (16269.09883-15386.23955)


WHY & HOW

The numbers in "N", "I%" and "PV" come directly from the information in the question.
"P/Y and C/Y" are 1 because the money is compounded yearly and not semi annually or quarterly. Semi annually is compounded twice a year. Quarterly is compounded four times a year.

The second Investment

#1

N=2

I%=12
PV=-16269.09883
PMT=0
FV=19300.49889
P/Y=1
C/Y=1
PMT: END BEGIN


George's final amount will be $19300.50 in scenario one.

#2

N=2
I%=12
PV=-15386.23955
PMT=0
FV=20407.95757
P/Y=1
C/Y=1
PMT: END BEGIN


George's final amount will be $20407.96 in scenario two.

Question #2

When you walk home from the big bridge there is a pizza place and a chicken place. Calculate the total amount of ways home. The P(passing the pizza place), P(passing pizza and chicken place).

There are 336 ways home

The P(passing pizza place) is 38.7%(130/336)

The P(passing pizza & chicken place) is 32.7% (110/336)

Click here to see WHY? & HOW?

Developing expert voices

1) Matrices question from the slides on Febuary 11th (slide # 3).

2) Probabilty question.

Timeline

Today 05/17/09: Publish this post

05/21/09: Create Problems from above Models

05/22-29/09: Complete Problems, ask for help from Mr. K. if needed

05/30/09: start to publish assignment

05/30/09-06/07/09: Hand in published assignment

IT'S a LATE scribe POST

Hi, Today in class the first thing we did was hand in the answers to our homework.Then Mr. K. went over the answer after we handed it in. After that we talked about the advantages of leasing and buying a vehicle.

ADVANTAGES LEASING

• Lower initial Payments
• Get to drive most recent vehicles (new)
• Can not modify the Vehicle
  

ADVANTAGES BUYING

• You own the vehicle it is yours
• You have an unlimited amount if kilometers
• You can modify your vehicle

Shortly after we talked about buying and renting a house. Renting is basic it is monthly payments( + hydro, water etc. if not included in rent). But you will never own the house if you rent it.

Buying a house is quite different. You must have a minimum down payment of 5% of the value of the house.

EX: A house is valued at $100,000 your minimum down payment will be $5,000

how? value(100,000)*minimum down payment of 5%(.05)

=$5,000

Then you have to get a mortgage. A mortgage is like a loan from the bank that you have to obviously payback but with interest.

EX: The mortgage will cost you $106,400

how? balance($95,000)+ total interest($11,400)

=$106,400

The Mortgage balance is what is left over from the total value of the house after the down payment is made.

Also Mentioned In Class

The GDSR-Gross Debt Service Ratio is how to find out he maximum amount of your income you can afford on a house (32%).This can be expressed as a formula:

GDSR=Mo. Mort. pmt.+Mo. Prop. tax+Mo. heating cost+ 1/2 of condo or strata fees

Gross Monthly Family Income

Equity-The part of the house you own.

Next Scribe is:DANIEL

Statistics Reflection

The statistics unit is a rather very long unit. I found most of the things easy to under stand,but after we finished learning about the normal curve and how it is distributed, we learned about binomial distribution. Binomial distribution is what i found the hardest to understand and grasp. I do not think it was the concept that was hard, but how the problems are worded. The problems are worded with lots of "math words" that often confuse me. It has always been difficult for me to get the important info out of a math word problem, but other than that it pretty much all makes sense to me.
Ooh and another thing a little hard to me is remembering what calculation to use to find each missing piece of info. For example:_finding the mean, s.d., the z-scores and now the confidence interval are tough to remember....... This divided by this times that, that minus this over those,yadayada.

Scribe Post for March 2nd

Hello everyone, today was a good day. It was a good day because Mr. K was back in class. I'm glad Mr. K is back and you probably are too.


Today's class was a slack class we did not really learn anything new, all we did was listen to Mr. K clarify what Dr. Eviatar was teaching us in the past week he was away.
He clarified the randBin feature on our graphing calculators. He also clarified The patterns in pascal's triangle.

Sorry the post is so short, there is not really much I can say other than that the class being as slack as it was it felt like a day off of math class.





The next scribe post will be... Jason