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Henry invest £8000 in youtube at a compound interest rate of 2% per year. He wants to earn more than £500 interest. Work out the least time, in whole years, that this would take?

Each year his money will increase by 2%, meaning he will get 102% of his money from the previous year. This can be written as 1.02. After n years, he will make 8000 x 1.02 ⁿ. Calculate this for...

Answered by Gillian L. • Maths tutor

2979 Views

If I had an equation with both 'x' and 'y' present, how would I find the gradient?

Using the equation (x+y)²=xy² as an example base to see how it would work in practice. The most important fact is that dy/dx =y'. Simply put, the derivative of y is ...

Answered by Oli K. • Maths tutor

2655 Views

Why, how and when do we use partial fractions and polynomial long division?

Partial fractions and long division have the same purpose which is to decompose complex expressions into simpler ones in order to easily deal with them in calculations. Think of them as t...

Answered by Daniel W. • Maths tutor

11623 Views

When should you use the sine rule and when should you use the cosine rule?

The sine rule can be used when we either know:a) the length of two sides A and B and an angle that is not the corner where A and B meetb) two angles and the length of one side
The cosine rule can be ...

Answered by Joseph B. • Maths tutor

2665 Views

Differentiate y= (3x^2+2x-6)^8

This is an example of where we must use the chain rule:
Firstly as with simpler differentiation we multiply the function by the power then subtract 1 from the power to get:
8(3x^2+2x-6)^7
T...

Answered by Ollie T. • Maths tutor

3249 Views