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Maths
GCSE

£3000 is invested for 2 years at 3.8% per annum compound interest. What is the total interest earned over the 2 years?

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...

Answered by Arisera T. Maths tutor
8645 Views

Farmer Joe has a rectangular pen to hold his animals. The pen’s length is 5 meters longer than the width. The pen’s area is 84 meters. Find it’s width.

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...

Answered by Omar B. Maths tutor
2543 Views

Find all three roots of the cubic: 2x^3 +5x^2 - 22x +15=0.

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...

Answered by Stanley W. Maths tutor
2819 Views

What do I need the Pythagoras theorem for?

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 ...

Answered by Fabienne D. Maths tutor
2664 Views

How do we factorise an expression?

Step 1: Find the highest common factor of the terms in the expression eg. 3x+12. In this expression 3 is the highest common factor of the terms 3x and 12...

Answered by Maria L. Maths tutor
2776 Views

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