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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
10391 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
3613 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
3947 Views

Compare attitudes to love as presented in Christina Rossetti's 'Remember' and Shakespeare's 'Sonnet 116'

It’s in their exploration of time’s relationship to love that the two poems differ most starkly. Rossetti acknowledges that time may ultimately trounce her lover's memory of her. Her use of repetition in ‘da...
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Answered by Joseph S. • English tutor
18411 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
3842 Views