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How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1% i...
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Answered by Tharani T. • Maths tutor
14618 Views

Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)

sin(x) 2 + cos(x) 2 = 1 Dividing by cos(x) 2 gives: tan(x) 2 + 1 = sec(x) 2 Which rearranges as: sec(x) 2 - tan(x) 2 = 1 as required. tan(x) 2 + cos(x) 2 = 1 sec(x) 2 - 1 + cos(x) 2 = 1 sec(x) 2 + cos(x) 2 =...
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Answered by Alistair R. • Maths tutor
4343 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a 2 + b 2 = c 2 (Pythagoras' Theorem) a 2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3)) (Expanding brackets) a 2 + 9 + 6√(3) + 6√(3) + 12 = 36 + 6√(3) + 6√(3) + 3 (Multiplying and simplifying surds) a 2 + ...
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Answered by Rebecca A. • Maths tutor
4294 Views

Using real life examples, explain the differences between the different market structures.

There a four types of market structures. A monopoly is where one firm dominates the market, it is characterised by high entry and exit barriers, high sunk costs and a possibility for supernormal profits. An ...
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Answered by Fiyin A. • Economics tutor
16095 Views

Define economics of scale and explain them 2 examples

Economies of scale are when firms experience a fall in long run average costs due to the growth of the size of the company. Firstly an example is financial economies of scale. This is when a company can borr...
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Answered by Sophie W. • Economics tutor
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