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Prove that the square of an odd number is always 1 more than a multiple of 4

First, we need to define what an odd number is. An odd number can be expressed as the product of 2n+1, where n can be any whole number bigger than 0. You can check this by inputting a few numbers for n (say ...
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Answered by Emanuel D. • Maths tutor
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Solve 7x-5>22-2x

9x>27X>3
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Answered by Lucy P. • Maths tutor
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A compound is found to contain 37.21% carbon, 7.75% hydrogen and 55.04% chlorine. What is it's empirical formula?

Carbon: 37.21/12= 3.1Hydrogen:7.75/1=7.75Chlorine: 55.04/35.5=1.55Ratio:c:H:Cl3.1:7.75:1.552:5:1Therefore empirical formula= C 2 H 5 Cl
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Answered by Lucy P. • Chemistry tutor
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Expand the following expression and simplify: (3x+2)(4x+5)

12x 2 + 15x + 8x + 10 = 12x 2 + 23x + 10
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Answered by Priscilla D. • Maths tutor
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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 ne...
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Answered by Hannah T. • Maths tutor
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