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John invests £8000 at compound interest rate of 1.5% per year. He wants to earn more than £2000 in interest. What is the LEAST time in WHOLE years that this will take?

Step 1) Create the formula: 8000 x 1.015 n Step 2) Equate to the target value: 8000 x 1.015 n = 2000 10000 (Common mistake is to use target of £2000 but you must also take into account the £8000 that is alre...
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Answered by Hamza H. • Maths tutor
3869 Views

Maths A-level Question, Rates of change involving a cylindrical vessel.

What do we know (IN) dv/dt = o.4π(OUT) dv/dt = 0.2π(h) 0.5 Initial height of water in vessel is 2.25m Diameter = 4m a) Show that at time t minutes after that tap has been opened, the height h m of the water ...
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Answered by Zubin M. • Maths tutor
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Make h the subject of h-36=(3h+18)/i

First, multiply both sides of the equation by 'i' to remove the fraction: i(h-36) = 3h +18 Then, expand the bracket by multiplying 'i' by each of the terms inside (first h then '-36'). Make sure to keep the ...
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Answered by Rebecca T. • Maths tutor
3679 Views

Factorise fully 27x^2 - 3

First, work out what number is a common factor of both terms - in other words what number 'goes into' both 27 and 3? 3 is a factor of both so put 3 outside the bracket. = 3( __ - __) Now work out what goes i...
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Answered by Rebecca T. • Maths tutor
5443 Views

Solve the following set of equations. 3x + 2y = 5, 2x + 3y =6

This question is an example of simultaneous equations. It's very important to show your working on this question otherwise you won't get any marks, even if you get the right answer! All simultaneous question...
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Answered by Errol L. • Maths tutor
4480 Views