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Why do firms only make normal profit in a perfectly competitive market?

Under a perfectly competitive market, there are a large number of buyers and sellers, where each of them are price-takers. If we imagine a supply and demand diagram, the S=D at equilbrium. If firms are initi...
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Answered by Shivani S. • Economics tutor
5712 Views

Make x the subject of the equation. y = 4( 2 + x )/ (6x -1)

First lets times both sides by (6x -1) y(6x - 1) = 4(2 + x) now lets expand the brackets 6xy - y = 8 + 4x now lets move all the ones with x as a factor onto one side of the equation and the rest on the other...
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Answered by Oliver O. • Maths tutor
5902 Views

Calculate the area of a circle of diameter 8cm

Solution: We can first write down the formula for the area of a circle which is pi*(radius)^2. The radius of the circle is half the diameter, so radius= 1/2(8)=4cm. Therefore the area of the circle is: pi* (...
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Answered by Headon H. • Maths tutor
20758 Views

Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.

|Z| = sqrt(1/2^2 + (sqrt(3)/2)^2) = 1 arg(Z) = arctan((sqrt(3)/2)/(1/2)) = pi/3 Z = cos(pi/3) + jsin(pi/3) Z = e^j(pi/3) Apologies for the use of sqrt(), I have no way yet of using the symbol on my laptop
SR
Answered by Sol R. • Maths tutor
4594 Views

Let f(x) = 5x^4 + 6x^3 + 3, find dy/dx at x = 3

First we must differentiate the equation with respect to x. To differentiate you must multiply the coefficient (number in front) by the power of x, then subtract 1 from the power. So here we find dy/dx = (5 ...
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Answered by Francesca K. • Maths tutor
3966 Views