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A new car costs £12,000. It decreases in value by 5% each year for the first 5 years and then increases in value by 2% after that. How much does it cost after 7 years?

12,000 x 0.95^5=9285.37 7-5=2 9285.37x1.02^2=9660.50

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Differentate sin(x^2+1) with respect to x

y = sin(x²+1) In general, the chain rule is: dy/dx = f(g(x)) = df/dg * dg/dx Applying this to y: dy/dx = d(sin(x²+1))/d(x²+1) * d(x²+1)/dx = cos(x²+1...

Answered by • Maths tutor

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Solve algebraically the simultaneous equations, x^2 + y^2 = 25 and y – 3x = 13

First you need to pick a variable to solve for( irrelevant which one is picked) so I will choose to solve y first as in this question it is easier (as y has no coefficient). So make y the subject of the s...

Answered by Benjamin U. • Maths tutor

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The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 +2x+3. Express f(x) in a fully factorised form.

To factorise the equation, we first need to find one of its roots. To do this, we need to find values of x for which f(x)=0.First we will guess x=1.So f(1)=2(1³) - 7(1²) + 2(1) + 3 =...

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