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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...

Answered by Raj H. • Maths tutor

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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 ...

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 b...

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 ...

Answered by Catherine C. • Maths tutor

181866 Views

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 400...

Answered by Charlotte M. • Maths tutor

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