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What would be the effect of a rise in consumption in the economy, use a diagram to help illustrate this effect.

A rise in consumption in the economy would cause an increase in aggregate demand. This is because the formula of aggregate demand is C+I+G+(X-M), with the C standing for consumption. Therefore, a rise in con...
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Answered by Chris W. • Economics tutor
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In a triangle ABC where angle CAB = 90 and angle ABC = 40 and the hypotenuse = 20cm, what is the length CA? Then find the total perimeter of the triangle.

Use SOH CAH TOA to determine which trigonometric function to useTo calculate CA Sine should be usedWe then get an answer of 12.86cm for CAWe can then either use Cosine or pythagorus to calculate AB Final ans...
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Answered by Jack D. • Maths tutor
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Show that the lines y=3x+7 and 2y-6x=8 are parallel (not using a graphical method).

The standard form of a straight line is y = mx + c, where y and x are variables that depend on each other, m is the gradient and c is the y-axis intercept. An important fact for this question is that paralle...
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Answered by Matt B. • Maths tutor
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Explain Fractional Distillation (6 Marks)

Fractional distillation is the process of separating the different hydrocarbon compounds within crude oil (Show understanding of fractional distillation through context) . First the crude oil is heated/vapor...
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Answered by Aatif H. • Chemistry tutor
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prove by induction that, f(n) = 2^(3n+1) + 3(5^(2n+1)) is divisible by 17 for all n>0.

With induction we start with the base case n = 1. So setting n=1 we find that f(1) = 391 which is equal to 17x23. So indeed the base case holds.We assume that for positive integers k, f(k) is divisible by 17...
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