PRODUCING DATA ASSIGNMENT #1 3rd Period Only

1.)  An opinion poll on the ipad/iphone polled 5,249 persons and asks them, "Will the Occupy Wall Street protests end peacefully?"  In all, 2520 of the 5249 say "yes." What is the sample in this setting?

2.) Describe what a simple random sample means.

3.) You must choose 10 teachers of the total teacher population at Paideia.  How would you label this population in order to use Table 5.1 in your book.  (Note:  You need to figure out how many teachers there are at Paideia)

4.)  Show of Hands Poll asked 501 teenagers whether they approved of legal gambling: 52% said they did. Use the quick method to estimate the margin of error for conclusions about all teenagers. (Note: Discription of this method can be found online or in your book)

Myths About Our Water Supply

For whatever bizarre reason, a large demographic of the world's population seems to think that we are "running out of water." I know several members of this demographic. This misunderstanding is not the fault of the believer, but rather the fault of a few myths in circulation. 

One of these myths is that by using water, you destroy it. While reading that, you'll probably think, "Well, of course that isn't true!" But the fact remains: There are quite a few who don't think about it enough to realize the falsehood. Taking a shower, for example, does not spontaneously split water molecules, nor does the water you used become waste. All the water you use in your plumbing is sent to a filtration plant and spat right back of your tap. So trying to calculate when we will run out of water based on how much you used in your shower just won't work, meaning you can't use the Renewable or the Non-Renewable Resource formulas.

Another popular myth is that the planet is drying up, and that's simply wrong. Water is the most sustainable resource around, because the act of using it is the beginning of the process that renews it. When water is used in plumbing, as said before, it's just put through filtration and used again for something else. When water is used elsewhere, it either sinks into the ground and evaporates, or flows to a body of water and evaporates, before it all gets dumped right back on your head. The largest source of freshwater is rainfall, and about 3 quadrillion gallons of the stuff falls to Earth every year.

So, the trouble is not a lack of water. The problem is getting all that water to the right places, because rain doesn't fall evenly across the globe. With all that said, though, it is clear that we aren't running out of water by using it, so we can't use the Non-Renewable or the Renewable Resource equations. 

In fact, if we were to put this in mathematical terms, the only thing we could confidently say is that if you use an amount of water a, received from the source of the water b, you've done this:

(b - a) + a = b

MAGIC WATER.

From: Chris

Picture

SCRIBE POST OCTOBER 18

This post covers everything we learned on October 18th on sections 23.3-.4

We started class off by watching this video:

This video relates to the equation for exponential reserve: n=(ln(1+(S/U)r))/(ln(1+r)).

In class we also clarified when to used the static reserve formula and when to use the exponential reserve formula. The difference is that the exponential reserve formula takes into account a growing rate of consumption whereas the static equation does not.

Renewable Resource: "any natural resource (as wood or solar energy) that can be replenished naturally with the passage of time."

Non-Renewable Resource: "any natural resource from Earth that exists in limited supply and cannot be replaced. "

Funny Wolfram Alpha Comic

Enjoy!

#ScribePost Luke 23.1-23.3

Sorry about the lateness of this scribe post; it totally slipped my mind over fall break so my bad.

I’ll be covering the class from Tuesday (10/11) and the class from today (10/17) in this Scribe Post.

Tuesday (10/11)-

We started off today by watching a few YouTube videos, one of which we had already watched at the beginning of the year in class.

1. “7 Billion, National Geographic Magazine” was the first one that we watched. This video is all about modeling human population growth exponentially and the threats of over-population to our planet.

Here is the URL: http://www.youtube.com/watch?v=sc4HxPxNrZ0

2. The next video that we watched, “7 Billion People: Everyone Relax!” was a video response to the previous one which argued that human population growth is in fact best modeled after a linear, not exponential, growth rate and that our populations rapid increase is really not that much of a problem because we will reach a carrying capacity, go down, and then be back at 7 billion in 75 years. So, essentially, everything’s fine, everyone chill out. Here is the URL: http://www.youtube.com/watch?v=iodJ0OOdgRg
3. The third video, “Distilled Demographics: Deciphering Population Pyramids,” dealt with population pyramids, obviously. I think that Jojo just turned the sound down and spoke over this video. I had a little trouble finding the video online because all I had in my notes was “Population Pyramid,” so I’m not certain if this is the right video, but I believe so. Here is the URL: http://www.youtube.com/watch?v=sSoSYm4AOls

We didn’t just watch videos in class, we also started in on chapter 23. Here are my notes from that part of class:

Chapter 23.1-

• This formula is used to model population growth: A = P(1+r)^n
• Population growth is an exponential, as opposed to a linear growth rate
• r=rate of natural increase = birth rate / death rate
• P = population
• M = carrying capacity
• Growth rate = r(1-(P/M))
• When solving A = P(1+r)^n r=growth rate not the r that equals the rate of natural increase

We also did some classwork and here is that:

Page 849 Questions: #3 & 5

3. 1.7% = r = .017 25 = n 3,617,000,000=P

P(r+1)^n = 5,595,104,568

5. 818,000,000 = P n = 24 r = .024

P(r+1)^n = 1,284,497,816

Today, Monday (10/17)-

Today we went further into chapter 23, clarifying some confusion to do with the Growth Rate. To clarify any conclusion:

Growth Rate = r(1-(P/M))

If you’re confused about the variables in this equation, see the notes from 23.1 from the previous section of this Scribe Post.

We spent most of class today dealing with Chapter 23.3, here are my notes:

23.3: Nonrenewable Resources

• Nonrenewable resources are resources that cannot be renewed (I know, shocking, but try to bear with me)
• The usage of non-renewable resources can be modeled through this formula:
• A=d(((1+i)^(n)-1)/i))
• The static reserve is the time the resource will last with a constant rate of use.
• Supply / Use à S/U
• The exponential reserve is the time that resource will last given constant use that increases geometrically with the population.
• S=supply, U=Use, r=rate of usage, n=exponential reserve à n=(ln(1+(S/U)r))/(ln(1+r))

The next scribe is Kenan!

Kenan is out of the country and so if he is not back by tomorrow's class the next scribe will be Sarah!

Open Study

I was pretty bored today and was on stumbleupon which brought me to this site:
http://openstudy.com/
If nobody in the class is online when you need math help, there are a lot of people on this site that have questions and answers. I thought it looked pretty cool.
It also helps with science, writing, history and other things.

Twitter!

Hey Y'all-

Just a reminder to tweet tonight about formulas for the test tomorrow. Jojo was nice enough to give us formulas on our quiz and we can have that same advantage if we tweet and print out our formulas!

If y'all can't remember what to do/you never learned:

-tweet formulas, helpful hints, maybe what the formulas are USED for, etc and use the hashtag #discretemath12 (That way we can find each others tweets easily!)

-Favorite the tweets you want to use by clicking on the star when you highlight the tweets

-You can then print out your tweets by either taking a screenshot or some browsers you can print straight from the web. Either way, I don't think we're allowed to make it more than a page long.

Hope this all helps!! Happy tweeting and good luck on the test tomorrow!

Chapter 22 Test Review Sheet

Link For Solutions
  
Able to edit with link now ...8:54pm  Sorry

1.  Sun National Bank of New Jersey is offering a 4.75% fixed discounted student loan to be repaid in monthly installments over the course of 4 years. You expect that you will need a total of $100,000 for your educational expenses. How much should you borrow (round your answer to the nearest whole dollar)? 

2.  Fred wanted to watch the Super Bowl in style, so he charged a $4,999.99 50-inch widescreen plasma HDTV with a built-in digital video recorder to his Sam's Club credit card. The company charges 0.93% interest per month. If Fred made no payment for one year and just let the balance ride, how much interest would he have accrued in the first year (round your answer to the nearest whole dollar)?

3. An Illinois criminal justice professor found eight times as many gambling addicts among college students as among adults. Ignoring the warnings of this professor, Erik, a college junior, went to the Argosy's Alton Belle Casino. Unfortunately, Erik's personality was such that he became addicted. Within the month, Erik had already borrowed $7,500 to support his habit. A judge gave Erik 4 months to find a job and pay off his debt. Assuming Erik deposited each monthly paycheck into an account that paid 2.65% interest per year, how much would Erik need to deposit each month to comply with the judge's order (round your answer to the nearest whole dollar)?

4. Home Savings and Loan of Ohio offers a 15-year fixed home mortgage rate of 4.15% compounded monthly. You borrow $130,000 to build your dream home. How much interest will you have paid on the loan at the end of 15 years (round your answer to the nearest whole dollar)? 

5. Suppose that you have borrowed $800 from your older brother to purchase textbooks for the new term. Your brother agreed to lend you the money provided that you pay him within 20 weeks at a rate of 1.2% interest per week. How much are your weekly payments?


6. You have decided to purchase a used 2005 Porsche 911 Carrera two door coupe with a gray leather interior and manual transmission from Valley M Motors, Inc., for $63,950. Yahoo! Finance is offering a 36-month loan at 4.12% interest compounded monthly for the state of Ohio. What is your monthly payment (round your answer to the nearest whole dollar)?

7. Which type of rate takes into account monthly compounding?
 
8. Gerard and his fiancée are looking for a $150,000 home. They find a bank that is offering a 30-year 4.03% fixed mortgage rate provided they make a down payment of 20%. Gerard and his fiancée bring home a combined weekly amount, after deductions, of $880.51. Which statement best describes how Gerard and his fiancée can afford to buy this home?
 A. They can make the monthly payments with sufficient money left over for necessities.
 B. They can make the monthly payments but will have little money left for necessities.
 C. Between the two incomes, they cannot meet the monthly payment.

9. Sam and Connie built their home in 1984 for $110,000. At that time, they had a 30-year mortgage at an 8.5% fixed interest rate. Sam and Connie sold their home in 2005 exactly 21 years after it was built. How much equity did they have in the loan?


10.  Let's assume that in question 9, along with paying down their initial loan of $110,000 from the bank, their home's value appreciated to $202,400 by the time they decide to sell in 2005.  How much equity did they have in the home?


11. James, a college professor, is retiring at 65 with $507,845.43 in his STRS life income annuity. The STRS retirement specialist told James that he will receive $15 per month for every $1,000. According to the Social Security Administration, ones life expectancy at age 65 is about 16.6 years. If James lives exactly that long, how much (total) can he expect to receive?

Discrete Math Test -BoB

Blogging on Blogging -Reflections -BoB Chapter 22

There is a BIG difference between learning and just being there. Learning is an interactive sport; not a spectator sport. There has to be a conversation between us, back and forth, as we work through the material. Learning doesn't happen when I talk and you listen; learning happens when you have a conversation -- with me and with each other.

I am going to offer you up to 5 bonus points on your test with completion of a simple assignment.  I would like you to post your reflections on the material covered so far in chapter 22.  Just comment on this post by the start of class tomorrow.  To get that bonus on your test, the kind of post I'd like you to make should have one or more of these characteristics:

• A reflection on a particular class (like the first paragraph above-how did that class enhance your learning?).
• A reflective comment on your progress in the course.
• A comment on something that you've learned that you thought was "cool".
• A comment about something that you found very hard to understand but now you get it! Describe what sparked that "moment of clarity" and what it felt like.
• Have you come across something we discussed in class out there in the "real world" or another class? Describe the connection you made.