Do the Math on this Get Rich Scheme

 I realize the following get rich snippet strays somewhat off the theme of this blog which is to post useful math advice and help. This is part of the text of a get rich advertisement I found somewhere on the web. It was one of those ads that pop up when you mouse over the text in the article. I believe these type of ads are called inline contextual ads in advertising parlance. So read the following italicized article by Jessica Meyer of Roswell, New Mexico who claims that she makes $7000 a month working less than 15 hours. Yeah that is $91000 a year! Are the skeptical hairs on the back of your neck rising? Most things that are too good to be true are NOT true. What do you think?

Jessica Meyer of Roswell, NM never thought that she would, until curiosity got the best of her and she filled out a simple online form and put out just a little money to try a program she came across. Before she knew it, she discovered her secret to beating the recession, and is now working with some huge companies like DirecTV, NetFlix, and Microsoft all from the comfort of her home!
On Jessica's blog last month she revealed her success and we decided to feature her story in our Consumer Finance Review. "I actually make $6,000-$7,000 a month online which is enough to comfortably replace my old jobs income, especially considering I only work about 10-13 hours a week from home." Jessica states.  ...........................

Clear Explanation and Examples of Functional Notation

 The following notes and examples attempt to explain and clear up misconceptions and difficulties students often face when dealing with or understanding the functional notation usage. Part of the confusion associated with functional notation is that the equal sign is used in a different fashion. As the following examples show, the functional notation usage of equality is that of assignment rather than the conditional sense that is used when solving equations.  This shift in context of the equality symbol (=) seems to be be the chief source of difficulty many experience when working with functional notation.  Functional notation is prevalent in mathematics, physics and economics so a solid understanding is important for any technically inclined student or professional.

  I believe that many children in an IEP have had weak instructors in math and English who did not properly explain important foundational concepts and functional notation is one of them.

Verifying a Trig Identity Step by Step

 Trigonometry Identities can be very difficult. Most trig identities involve more algebra than actual knowlege of Trig. Below you will see a trig identity being verified where the Left Hand Side(LHS) is transformed to the the Right Hand Side(RHS).

 A trig identity is very much like a mathematical proof where one side of the equation is transformed to the other side. The trig identity established below manipulates the LHS to equal the RHS. Hope this helps you to be more confident when trying to verify identities. 


  As an exercise, see if you can transform the RHS to the LHS. Remember that there is much more algebra involved in the verification of a trig Identity than trig knowledge. So an understanding of the difference of two squares, factoring, conjugates, and collection of like terms is crucial when verifying a trigonometric identity.