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£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 formula: £30...
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Answered by Arisera T. • Maths tutor
10237 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 longer than the width we have L = W + 5. Finally, the area i...
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Answered by Omar B. • Maths tutor
3467 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 (2x 2 +7x-15) comes out as a factor. This can be factorised int...
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Answered by Stanley W. • Maths tutor
3804 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 = c^2
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Answered by Fabienne D. • Maths tutor
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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 Step 2: Write the factor outside the brackets eg. 3x...
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Answered by Maria L. • Maths tutor
3828 Views