# Mathematics

### De Moivre’s theorem

Posted on Updated on   ### DERIVATIVE FORMULAS

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DERIVATIVE FORMULAS

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### Probability problems

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Steps to solve pr0bability problems

1. Identify events for which probability is to be determined asked in the question.
2. Calculate total number of possible outcomes (items)
3. Calculate probability of each event
4. Add probability of each event (if it is required)

Example

A box is filled with cubes of different colors. There are 40 White cubes, 24 Green, 12 Red, 24 Golden, and 20 Blue cubes. If you have to select a cube without looking into the box, what is the Probability that you will pick a White or a Blue cube?

Solution

Step 1                    See that you have to determine probability of 2 events

(a) Picking a White cube
(b) Picking a Blue cube

Step 2                       2 total numbers of cubes

Step 3                     Find the probability of picking a White

Find the probability of picking a White

Step 4                   Now add the two probabilities together

Thus probability that you will pick a White or a Blue cube is 1/2

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### Maths formula

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1. COMPOUND INTEREST

M = P( 1 + i )n

M is the final amount including the principal.

P is the principal amount.

i is the rate of interest per year.

n is the number of years invested.

Applying the Formula

Let’s say that I have \$1000.00 to invest for 3 years at rate of 5% compound interest.

M = 1000 (1 + 0.05)3 = \$1157.62.

You can see that my \$1000.00 is worth \$1157.62.

# Area and Perimeter of a Triangle, Rectangle, Parallelogram, Trapezoid and Circle Area and Perimeter of a Triangle, Rectangle, Parallelogram, Trapezoid and Circle Area and Perimeter of a Triangle, Rectangle, Parallelogram, Trapezoid and Circle

Surface Area and Perimeter of a Triangle