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Expand the following expression and simplify: (3x+2)(4x+5)

12x² + 15x + 8x + 10 = 12x² + 23x + 10

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A car depreciates at 8% per year. The initial price of the car is £25,000. How much will the car be worth after 4 years? After how many years will the car be worth less than £14,000?

This problem is all about compound interest except this time the value is going down not up. To increase a value by 8% you would multiply it by 1.08 as 8% is 0.08 (1+0.08). To decrease a value however you...

Answered by Hannah T. • Maths tutor

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The formula v = u +at gives the final velocity of an object as it accelerates. If v= 35, a=4 and t=5 then find u

First off, you would start by substituting in the numbers that you already know.
Therefore you get: 35 = u + (4 x 5)
Remembering BODMAS you would then look at the equation and solve the bracket...

Answered by Hannah G. • Maths tutor

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Solve the Simultaneous equations 4x - y = 8 and x + y = 12

One basic method used here, when you have an equation and you add, subtract, multiply or divide one side of the equation from the equal sign, you must add, subtract, multiply or divide by the same value o...

Answered by Cameron E. • Maths tutor

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In a stack of CDs, there are 3 types: Rock, Pop and Jazz. There are 2 Rock CDs, x Pop CDs, and (2x+5) Jazz CDs. A CD is chosen at random. If the probability it is Rock is 1/20, work out the probability it is Jazz.

Number of Rock CDs = 2Total Number of CDs = 2 + x + (2x+5) = 3x + 7Probability of Rock CD = 2/(3x + 7) = 1/202/(3x + 7) = 1/2040 = 3x + 7x = 11Number of Jazz CDs = 2x + 5 = 27Total Number of CDs = 3x + 7 ...

Answered by Vinh L. • Maths tutor

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