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Dollar Equals Ten Cents

Theorem: 1$ = 10 cent
Proof:
We know that $1 = 100 cents
Divide both sides by 100
$ 1/100 = 100/100 cents
=> $ 1/100 = 1 cent
Take square root both side
=> squr($1/100) = squr (1 cent)
=> $ 1/10 = 1 cent
Multiply both side by 10
=> $1 = 10 cent

Big Mac Index

Cologne, May 27 dpa - The U.S. dollar is undervalued against the Deutsch-mark based on how many "Big Mac" hamburger sandwiches the two currencies can purchase, said one of Germany's leading institutes.

The Institute of the German Economy (IW) in Cologne noted that the popular sandwich by the McDonald's restaurant chain is increasingly being used by economists around the world as a measure of currencies' relative purchasing power.

The institute said that currency exchange rates are often unreliable as an instrument to measure purchasing power. At the same time, "baskets" of products used to arrive at comparative purchasing power are complicated to compile.

A simple alternative, now that McDonald's has spread to virtually every country on earth, has become to look at what a Big Mac costs, the IW said.

"A particularly hungry American can buy five Big Macs for 11 dollars. If he exchanged the money into Deutsch-marks, his 18 marks in Germany can just barely obtain four Big Macs," the IW said.

Conclusion: based on the Big Mac index, the dollar is undervalued, the institute said.

Americans can get their best Big Mac buy these days in Moscow, where one sandwich costs only about 59 cents.

But Russians must "work nearly two days in order to afford this meaty capitalist achievement - longer than people in any other country", the IW said.

SAT Score Decay

SAT score decayAs we all know SAT scores have been on the decline for years.

The following may be the reason why.

A math problem in the 60'sA logger sells a truckload of lumber for $100. His cost of production is four-fifths of this price. What is his profit?

A math problem in the 70'sA logger sells a truckload of lumber for $100. His cost of porduction is four-fifths of this price, or $80. What is his profit?

A math problem in the 70's using New MathA logger exchanges a set L of lumber for a set M of money. The cardinality of set M is 100, and each element is worth $1. Make 100 dots representing the elements of set M. The set C of the cost of production contains 20 fewer points than set M, and answer the following question: What is the cardinality of the set P of profits?

A math problem in the 80'sA logger sells a truckload of wood for $100. His cost of production is $80, and his profit is $20. Your assignment: underline the number 20.

A math problem in the 90's under Outcome Based Education.

By cutting down beautiful forest trees, a logger makes $20. What do you think of this way of living? (Topic for class participation: How did the forest birds and squirrels feel?)

The Math Test

California officials have determined that students would probably do better with math word problems, if they could relate them to real life examples. Towards that end, may I present:

The City of Los Angeles High School Math Proficiency Exam

Name: Gang:

  1. Johnny has an AK-47 with an 80-round clip. If he misses 6 out of 10 shots and shoots 13 times at each drive-by shooting, how many drive-by shootings can he attempt before he has to reload?
  2. Jose has 2 ounces of cocaine and he sells an 8-ball to Jackson for $320 and 2 grams to Billy for $85 per gram. What is the street value of the balance of the cocaine if he doesn't cut it?
  3. Rufus is pimping for three girls. If the price is $65 for each trick, how many tricks will each girl have to turn so Rufus can pay for his $800-per-day crack habit?
  4. Jarome want to cut his 1/2 pound of heroin to make 20% more profit. How many ounces of cut will he need?
  5. Willie gets $200 for stealing a BMW, $50 for a Chevy, and $100 for a 4X4. If he has stolen 2 BMWs, 3 4X4s, how many Chevies will he have to steal to make $800?
  6. Raoul is in prison for 6 years for murder. He got $10,000 for the hit. If his common law wife is spending $425 per month, how much money will be left when he gets out of prison, and how many years is he likely to get for killing the bitch that spent his money?
  7. If the average spray can covers 22 square feet and the average letter is 3 square feet, how many letters can be sprayed with 3 cans of paint?
  8. Hector knocked up 6 girls in his gang. There are 27 girls in the gang. What percentage of the girls in the gang has Hector knocked up?
  9. Thelma can cook dinner for her 16 children for $7.50 per night. She gets $234 a month welfare for each child. If her $325 per month rent goes up 15%, how many more children should she have to keep up with her expenses?
  10. Salvador was arrested for dealing crack & his bail was set at $25,000. If he pays a bail bondsman 12% and returns to Mexico, how much money will he lose by jumping bail?

University Grading Procedures

Here is a list of the ways professors here at the American University grade their final exams:

DEPT OF STATISTICS: All grades are plotted along the normal bell curve.

DEPT OF PSYCHOLOGY: Students are asked to blot ink in their exam books, close them and turn them in. The professor opens the books and assigns the first grade that comes to mind.

DEPT OF HISTORY: All students get the same grade they got last year.

DEPT OF RELEGION: Grade is determined by God.

DEPT OF PHILOSOPHY: What is a grade?

LAW SCHOOL: Students are asked to defend their position of why they should receive an A.

DEPT OF MATHEMATICS: Grades are variable.

DEPT OF COMPUTER SCIENCE: If and only if the student is present for the final and the student has accumulated a passing grade then the student will receive an A else the student will not receive an A.

MUSIC DEPARTMENT: Each student must figure out his grade by listening to the instructor play the corresponding note (+ and - would be sharp and flat respectively).

DEPT OF PHYSICAL EDUCATION: Everybody gets an A.

Numbers Equal Zero

Theorem : All numbers are equal to zero.

Proof: Suppose that a=b. Then
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
a + b = b
a = 0
Furthermore if a + b = b, and a = b, then b + b = b, and 2b = b, which mean that 2 = 1.

Equal Positive Integers

Theorem: All positive integers are equal.

Proof: Sufficient to show that for any two positive integers, A and B, A = B.
Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.
Proceed by induction.

If N = 1, then A and B, being positive integers, must both be 1. So A = B.
Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.

The Chief's Three Wives

Ther was this Indian chief, and he had three wives. They slept in the same tent. One on a bear skin, one on a buffalo skin and one on a hippopotamus skin.

After a time the three had children. The one that slept on the bear skin had a baby boy, the one on the buffalo skin had a baby girl, and the one on the hippopotamus skin had a baby boy and a baby girl, proving that the squaw on the hippopotamus is equal to the sum of the sqaws on the other two hides!!!

Three Equals Four

Theorem: 3=4
Proof:
Suppose:
a + b = c
This can also be written as:
4a - 3a + 4b - 3b = 4c - 3c
After reorganizing:
4a + 4b - 4c = 3a + 3b - 3c
Take the constants out of the brackets:
4 * (a+b-c) = 3 * (a+b-c)
Remove the same term left and right:
4 = 3

One Equals Negative One

Theorem: 1 = -1

Proof:
1 = sqrt(1) = sqrt(-1 * -1) = sqrt(-1) * sqrt(-1) = 1^ = -1

Also one can disprove the axiom that things equal to the same thing are equal to each other.
1 = sqrt(1)
and -1 = sqrt(1)
Therefore 1 = -1

As an alternative method for solving:

Theorem: 1 = -1

Proof:
x=1
x^2=x
x^2-1=x-1
(x+1)(x-1)=(x-1)
(x+1)=(x-1)/(x-1)
x+1=1
x=0
0=1
=> 0/0=1/1=1