## Calculating the period of an investment For calculations using the simple interest formula, we solve for n, the time period of an investment or loan, by simply rearranging the formula to make n the subject. For compound interest calculations, where n is an exponent in...

## Solution combinatoric problem -Shortlist Problem no.2 – International mathematic Olympiad 2013 Problem 2 : In the plane, 2013 red points and 2014 blue points are marked so that no three of the marked points are collinear. One needs to draw k lines not passing through the...

## Combinatorics problem in IMO 2013 combinatoric problem in international mathematic olympiad ( IMO) 2013 Problem 1: Let n be a positive integer. Find the smallest integer k with the following property: Given any real numbers a1, . . . , ad such that a1...

## Solving quadratic equations using factorisation A quadratic equation is an equation of the second degree; the exponent of one variable is 2. The following are examples of quadratic equations: A quadratic equation has at most two solutions, also referred to as roots. There are...

## Applications of exponentials There are many real world applications that require exponents. For example, exponentials are used to determine population growth and they are also used in finance to calculate different types of interest. Example 1: A type of bacteria has a...

## How to Product of algebra

Mathematical expressions are just like sentences and their parts have special names. You should be familiar with the following words used to describe the parts of mathematical expressions. 3x2 + 7xy – 53 Multiplying a monomial and a binomial...