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The supply function for the production of good A is P=50+45Q. The demand function is P= 100-5Q. Find the equilibrium price and quantity.

At P_Qe supply equals demand sowe set equations equal to each other and solve as symoltaneous equations: 50+45Q=100-5Q

then 50Q=50

so Q_e=1.

By ...

Answered by Peter K. • Economics tutor

2130 Views

Find two values of k, such that the line y = kx + 2 is tangent to the curve y = x^2 + 4x + 3

There will be intersection when x^2 + 4x + 3 = kx + 2. Our goal is to find the values of k which would only give one solution to this quadratic equation, which would make the lines 'tangent' to each other...

Answered by Andrew N. • Maths tutor

34521 Views

Calculate the kinetic energy of a proton moving at 95% of the speed of light. (c = 3x10^8 m/s, m_p = 1.67x10^-27 kg) [4 marks]

KE = 0.5mv²[1] v = 3x10⁸* 0.95 = 2.85x10⁸[1] KE = 0.5 * 1.67x10^-27* (2.85x10⁸)²[1] KE = 6.782 x10^-11J [1]

Answered by Tom F. • Physics tutor

6743 Views

Describe what is meant by the following musical textures: 1) homophonic, 2) polyphonic, 3) call and response.

Homophonic texture is when the music sounds 'as one', such as block chords, where all instruments change notes at the same time.
Polyphonic means 'many sounds'. The instruments...

Answered by Tom F. • Music tutor

16865 Views