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How do we use ratios to figure out how much money to give to people of a lump sum?

Lets start with an example scenario:Two people are to receive a percentage of a £500 business sale. One receives 25% and the other receives 75%. When using percentages we must remember that it means it is pe...
DC
Answered by Daniel C. • Maths tutor
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Use implicit differentiation to find dy/dx of the equation 3y^2 + 2^x + 9xy = sin(y).

Differentiating each term separately, and using implicit differentiation to differentiate the functions of y by differentiating with respect to y and multiplying by dy/dx, we can obtain 6y dy/dx + ln2 2^x + ...
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Answered by Luke S. • Maths tutor
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The width of a Rectangle is 4cm shorter than its length. the rectangle has an area of 32cm2. Calculate its perimeter?

x (x-4) = 32X^2-4x-32 = 0(x-8)(x+4) = 0 x=8perimeter =8+4+4+8 = 24cm.
DH
Answered by Daniel H. • Maths tutor
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Differentiante y = arctan(c)

y = arctan(x)tan(y) = xsec 2 (y) = dx/dyfrom cos 2 A + sin 2 A = 1, we know that 1 + tan 2 A = sec 2 A (divide by cos 2 A), so we substitute in1 + tan 2 (y) = dx/dyfrom the initial relationship,1 + x 2 = dx/...
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Answered by Savvas S. • Maths tutor
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Simplify 24ab^2 / 6b

To begin this question, it is first necessary to separate the different parts: the numbers, the as and the bs.The number division is simple. 24/6 = 46b has no values of a. Therefore, the a remains untouched....
IB
Answered by Isabelle B. • Maths tutor
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