Form 99: Fill & Download for Free

The 99% work following a linear formula:[math]Skill \times Time = Paycheck[/math]There’s NO leverage in that equation.To answer your question, what is something that the 1% do that the 99% won’t do?The 1% work with a non-linear formula, with business leverage:We all have the same 24 hours in a day.The 99% focus their efforts on increasing their skills on making more money.The 1% are focused on finding creative ways of making the most of their limited time and energy using leverage. How?Using other people’s time (employees)Using other people’s talents (expert advisors)Using other people’s money (Banks)Using technological advances (Automation)Scaling their knowledge (Systems)

[math]x [/math][math][/math][math]+ x^2 [/math][math][/math][math]+ x^3 = [/math][math]99[/math][math] [/math][math][/math][math]+ 99^2 [/math][math][/math][math]+ 99^3[/math][math]\implies (x - [/math][math]99[/math][math]) [/math][math][/math][math]+ (x^2 - 99^2) [/math][math][/math][math]+ (x^3 - 99^3) = 0[/math][math]\implies (x - [/math][math]99[/math][math]) [/math][math][/math][math]+ (x - [/math][math]99[/math][math]) (x [/math][math][/math][math]+ [/math][math]99[/math][math]) [/math][math][/math][math]+ (x - [/math][math]99[/math][math]) [/math][math][/math][math]( x^2 [/math][math][/math][math]+ 99^2 [/math][math][/math][math]+ [/math][math]99[/math][math] x) = 0[/math][math]\implies (x - [/math][math]99[/math][math]) [/math][math][/math][math]( 1 [/math][math][/math][math]+ x [/math][math][/math][math]+ [/math][math]99[/math][math] [/math][math][/math][math]+ x^2 [/math][math][/math][math]+ 99^2 [/math][math][/math][math]+ [/math][math]99[/math][math] x) = 0[/math][math]\implies (x - [/math][math]99[/math][math]) (x^2 [/math][math][/math][math]+ 100 x [/math][math][/math][math]+ 9901) = 0[/math][math]\implies x - [/math][math]99[/math][math] = 0\implies x = [/math][math]99[/math][math][/math][math]x^2 [/math][math][/math][math]+ 100 x [/math][math][/math][math]+ 9901 = 0[/math][math]\text{We use quadratic formula to solve this equation.}[/math][math]x = \dfrac{-100 \pm \sqrt{10000 - 4 (9901)}}{2}[/math][math]\implies x = \dfrac{-100 \pm \sqrt{10000 - 39604}}{2}[/math][math]\implies x = \dfrac{-100 \pm \sqrt{ - 29604}}{2}[/math][math]\implies x \approx \dfrac{-100 \pm 172 i}{2}[/math][math]\implies x \approx -50 \pm 86 i[/math][math]\text{The only real solution is x = [/math][math]99[/math][math]}[/math][math]x \approx -50 \pm 86 i\quad \text{are two complex solutions}[/math]

It is the year 1919. How do I calculate [math]99^{100}[/math]?See, the question is much more interesting, once we go back 100 years in the past! So let’s see how my great-granddad could have calculated [math]99^{100}[/math].Let us first calculate [math]\log(99^{100})[/math]. This being 1919, [math]\log x[/math] means [math]\log_{10}(x)[/math]; binary wasn't yet very popular. Clearly this is equal to [math]100\log [/math][math]99[/math][math][/math]. And [math]\log 99=\log(10\times 9.9)=\log 10+\log 9.9=1+\log 9.9[/math].Now, how do we calculate [math]\log 9.9[/math]? By using this:The above table tells us that [math]\log 9.9 = 0.9956[/math]. Good. Then[math]\log(99^{100})=100(1+0.9956)=100(1.9956)=199.56.[/math]Okay. Then this must mean that[math]99^{100}=10^{199.56}.[/math]But[math]10^{199.56}=10^{199}\times 10^{0.56}.[/math]And how do we calculate [math]10^{0.56}[/math]? By using this:The above table tells us that [math]10^{0.56}=3.631[/math]. Thus[math]99^{100}=3.631\times 10^{199}.[/math]That’s how people could have calculated [math]99^{100}[/math] without a calculator, 100 years ago.