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Sam takes out a £720 loan. Sam will have to pay back the £720 plus an interest rate of 15%. He will have to pay this back in 12 equal monthly instalments. How much must Sam pay monthly?

First, you must find out the total amount to pay back, this amount will be £720 + 15% of £720. To find 15% of £720, we first calculate 720/100 to find 1% and the multiply by 15: 720/100 = 7.2 *15 = 108. Now ...
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Answered by Samuel N. • Maths tutor
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Integrate xsin2x

Integrate by parts: integral = [uv] - ∫u'v dx (u'= derivative of u, v'= derivative of v) u= x u'= 1 v' = sin2x v= -0.5cos2x = -0.5xcosx - ∫-0.5cos2x dx = -0.5xcosx + 0.25sin2x + c
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Answered by Julia E. • Maths tutor
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What is the area bound by the x-axis, the lines x=1 and x=3 and the curve y=3x^(2)-1/x ? Answer in exact form.

Integrate, y= 3x 2 -1/x 1{ 3 3x 2 - 1/x dx = [x-lnx] 3 1 = (3-ln3)-(1-ln1) = 3-ln3-1+0= 2-ln3
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Answered by Escher L. • Maths tutor
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Please explain the difference between compound and simple interest

First of all, let's start by defining the word 'interest'. Interest in mathematical terms generally means an amount of money that is accumulated over a period of time after an amount of money is invested or ...
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Answered by Henry M. • Maths tutor
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f(x)=x^3 + x^2 -10x +8 show that (x-1) is a factor of f(x), Factorise f(x) fully , sketch the graph of f(x)

f(1)=0 f(x)=(x-1)(x+4)(x-2)
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Answered by Deborah A. • Maths tutor
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