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A is a function of P . It is known that A is the sum of two parts, one part varies as P and the other part varies as the square of P . When P = 24 , A = 36 and when P = 18 , A = 9. Express A in terms of P .

Let A = aP + bP2 , where a and b are constants. Sub. P = 24 , A = 36 , 24a + 576b = 36 2a + 48b = 3 ………… (1) Sub. P = 18 , A = 9 , 18a + 324b = 9 2a + 36b = 1 ………… (2) Solving (1) and (2) a=-5/2 b=1/6 ∴A=-5/...
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Answered by Chun Yin L. • Maths tutor
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Explain one economies of scale that a firm may enjoy when it expands its production scale.

1. Technical economies of sale: Large firms can utilize more fully the machines and plant equitments and thus reduce the average cost. 2.Managerial economies of scale: A large firm with a wider scope of spec...
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What should I write about in my personal statement?

There is no one correct way to write a personal statement; each one should be exactly that - personal. Think about why it is you want to study your subject, and why you love it. Avoid sweeping statements and...
HK
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Show that n^2 -n - 90 = 0

This is the full question: There are n sweets in a bag. 6 sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet out of the bag at random. She eats the sweet and then takes another at ran...
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Answered by Dylan N. • Maths tutor
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A car is travelling at 10m/s when it brakes and decelerates at 2ms^-2 to a stop. How long does the car take to stop?

This is a question testing the knowledge of the equations of constant acceleration (Suvat equations)First convert the question into a standard form. For example by writing out the variables as follows s (dis...
KM
Answered by Kirill M. • Physics tutor
9197 Views