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Mark wants to borrow money to buy a car. His bank offers him a loan of £5,000 to be payed back over 3 years at 4% compound interest. a) Work out the interest acquired in the 2nd year. b) In total how much will Mark end up paying back the bank?

In questions concerning compound interest , interest is added to principle sum at the end of each year. Therefore, the interest increases each year as you are paying interest on interest . a) To work out the...
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Answered by Laura M. • Maths tutor
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How do I divide fractions?

If you know how to multiply fractions, then dividing fractions only involves two more simple steps! 1. Turn the division sign into a multiplication sign. 2. Flip the last fraction upside down. So for example...
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Answered by Thomas H. • Maths tutor
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If 2x + y = 13 and 3x - y = 12, what are the values for x and y?

To solve these simulataneous equations we need to use substitution :If 2x + y = 13 then y = 13 - 2xTherefore 3x - y = 12 can be rewritten as 3x - (13 - 2x) = 12We can expand these brackets and solve for x :3...
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Answered by Emma W. • Maths tutor
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The price of a book is 4 pounds. In a sale the price is reduced by 30 percent. Work out the sale price

If we first calculate 30% of £4 to work out how much the price of the book has been reduced by.10% of £4 is £0.40. We know 30% will be this value multiplied by 3. Therefore 30% of £4 is £1.20.Now that we kno...
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Answered by Aidan T. • Maths tutor
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How do you calculate the hypotenuse of a right angle triangle if the two shorter sides are 6 and 8?

As this is a right angle triangle, we need to use Pythagoras's Theorem. This says that the length of the longest side of a right angle triangle (the hypotenuse) is equal to the sqaure root of the sum of the ...
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Answered by Rebecca V. • Maths tutor
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