KICK YOUR JOB AFTER 40

ADVT: HOME PROJECTOR IN AMAZON

How human population or bacteria population grows? Two may become four. Four may become eight and so on. Here the offspring gives rise to more offsprings.

How the nuclear bomb explodes? One nuclear fission becomes two due to ejected neutrons. Two becomes four fissions and so on. This chain reaction is left uncontrolled then it results in a huge explosion. Here fission causes fission. How the plant and tree grow? From seed, stem shoot out. Then it branches out. Next, it clads with leaves. More leaves, more photosynthesis. Then it yields flowers, fruits, etc. Here, we observe the rapid growth of plant cells.

Why do not we learn from nature? Why do not we use the money to make money? Why do not we use the interest to get more interest? That is compound interest, the magic. In compound interest, money grows rapidly towards the end.

"Compound interest is the addition of interest to the principal sum or in other words, interest on interest".

If you follow the following saving methods, you may kick your job at the age of 45 or even you may retire.
1. Open a suitable account like a national pension scheme, recurring deposit, mutual fund, etc. Assume your age is 30. The account should be live for 15 years.
2. Deposit 20000 every month in the first year. Let us assume that the interest is compounded every three months.
3. In the second year deposit 22k every month. In the third year -24k go on up to 15 years.
4. At the end of the 15th year. You are likely to get around one crore. You will be earning more than 35 lakhs as interest.

At the age of 45, you can boldly venture into (passion) business with one crore as the capital or you can deposit the one crore in the bank and live off using the monthly interest.

Here the interest is taken as 6%. This amount should not be touched at any cost. Self-discipline is the most important.

THE FORMULA
A= P(1+r/n)^nt
A= amount
P= principle
r= rate of interest
n- number of times interest is compounded per year.
t- the number of years.
Also
P=A/(1+r/n)^nt
t= ln(A/P)/n(ln(1+r/n)

With these formulae, you can design your savings plan. I have given only guidelines. But the sky is the limit. Use online calculators.

Footnote; Einstein said "compound interest is the eighth wonder"
2. Nature's compound interest formula.
A=P*e^(r*t) can be applied to any natural growth and decay.
e = constant 2.71.....

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LISSAJOUS FIGURES

Definition: "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures". We know sine wave motion and circular motion is basically same. Hence we draw two circles A and B perpendicular to each other. The circle B rotates twice faster than circle A. That is, frequency of circle B is two times than that of A. A particle at the intersection of two circles is subjected to two sine wave motion A and B at 90 degree simultaneously. The particle will describe figures depending on the frequency and phase of A and B . In our case, the ratio of frequency is 1:2 and the two waves are in phase. To draw lissajous figures : A moving point in both the circles are chosen. Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two. Hence the points are marked on the circles according to their speed. Then straight lines

THE PARABOLA

A jet of water shooting from a hose pipe will follow a parabolic path. What is the so special about parabola. Y= x^2 Draw a graph for the above equation. It will result in a parabola. This parabola is also called unit parabola. Any equation involving square will yield a parabola. Example: Y = 2x^2 +3x+3 (also called quadratic equation) X= 2 and -2, both satisfies the equation 4 = X^2. Parabolic equations always have two solutions. Any motion taking place freely under gravity follows parabolic path. Examples: An object dropped from a moving train, A bomb dropped from flying plane, A ball kicked upwards. If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point. This fact is made use of in Dish Antenna, Telescope mirrors, etc. Inverted parabola shape is used in the construction of buildings and bridges. Because the shape is able to bear more weight. A plane

CASINO'S GAME

Let us find out how the casino survives with mathematics. Say, your friend invite you for a game of dice. You must bet (wager) 2 dollars. If you roll 'six' you will get back 8 dollars. The game will go on for 30 rounds. All sounds good. The probability of rolling 'six' is 1/6. Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5. That is, you are expected to win 5 rounds out of 30. Hence your gain will be 5 * 8 =40 dollars. ok. This also implies that you will loose 25 rounds. Hence your loss will be 25*2 =50 dollars. Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars. There will be a loss of -1/3 or 0.33 dollars per round. It is not a fair game. Let us make a simple formula to calculate 'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect

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