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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 ...
HM
Answered by Henry M. • Maths tutor
4880 Views

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)
DA
Answered by Deborah A. • Maths tutor
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Make a the subject of: (a+3)=(2a+7)/r

Equation: a+3 = (2a+7)/r First, we want to rearrange the equation, so that the 'r', which is the denominator of the right hand side, multiplies with (a+3), creating r(a+3) = 2a+7. Expanding this out, the equ...
JM
Answered by Jana M. • Maths tutor
14043 Views

Given that y = 4x^3 – 5/(x^2) , x =/= 0, find in its simplest form dy/dx.

We are given: y = 4x^3 – 5/(x^2) To find the dy/dx we are going to use the power rule, from the power rule differentiating x^n gives n*x^n-1, so from our equation differetiating x^3 will give 3x^2, but we ne...
MA
Answered by Mohamed A. • Maths tutor
5875 Views

How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)

First you want to draw the complez number on to an argand diagram, using which you will find the modulus and argument. This is how to do so: The modulus is to be obtained using pythagoras (which will be easi...
MB
Answered by Meghali B. • Maths tutor
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