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Clare buys some shares for $50x. Later, she sells the shares for $(600 + 5x). She makes a profit of x% (a) Show that x^2 + 90x − 1200 = 0

Profit is (New price-Original price)/Original price . As a fraction it is percentage Profit/100. Equate (New price-Original price)/Old Profit to the fraction of Profit in %/100. Cross multiply and come up wi...
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Answered by Raj H. • Maths tutor
13019 Views

The nth term of a sequence is 8(2^n + 2^(6n-7)). a) Without a calculator, find the 2nd term of this sequence, b)​​​​​​​ Express the formula in the form 2^x + 2^y

To find a) just plug in the number two to all places where n appears. In this case 8(2^2 + 2^(6 * 2 - 7)) and then number crunch. 8(4+2^5) -> 8 * (4 + 32) -> 8 * 36= 288. To find part b, we must first ...
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Answered by Tom P. • Maths tutor
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Simplify fully: (7x^2 - 21x)/(x^2 + 2x - 15)

This one is quite complicated to answer typed up like this and i would definitley use a white board Show that 7x^2 - 21x can be come x(7x-21) which can in turn become 7x(x-3) Show that x^2 + 2x - 15 can beco...
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Answered by Dominic G. • Maths tutor
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What is 2/3 + 1/4?

When adding or subtracting fractions, we must always start by putting the fractions over the same denominator , that is the number on the bottom half of the fraction. To do this, we need to find a number whi...
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Answered by Catherine C. • Maths tutor
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Callum mixes a drink such that the Fruit Juice and Water is a ratio of 1:4 respectively. Calculate how much of both the Fruit Juice and the Water Callum will need in order to make 2 litres of juice. (Water: ____ml, Fruit Juice: ____ml )

A ratio of 1:4 means there are 5 parts to the mixture. 2 litres of drink divided into 5 parts means there are 400 ml per part (2000ml/5 parts). As Fruit Juice has 1 part, Callum would need 400ml. As Water ha...
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Answered by Charlotte M. • Maths tutor
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