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We can use the following formula: Amount after n years' compound interest = Initial amount x (1 + r)ⁿ r = The interest rate in decimal form. n = Number of years. Simply plug the values into our...

Step 1 define the variables:

L stands for the length, W stands for the width

Step 2 write what we know algebraically: 

Since the length is 5 meters l...

First try a trivial solution, x=0: doesn't work. Then try x=1 this does work so (x-1) is a factor of the cubic. Through algebraic factorisation (2x²+7x-15) comes out as a factor. This can be fa...

As an example you can use it to calculate the length of the hypotenuse in a triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides.

As a formula a^2 + b^2 ...

Say you have two functions, A and B, and A is the gradient of B. That is to say, A is as high as B is steep (at any point). Equally, A is as high as the rate of change of B (at any point). Now let’s say w...