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Matthew gets £100 for his 16th birthday and chooses to invest the money into a bank with a 2% annual interest rate. By which birthday will Matthew have more than £150 in his account?

This a geometric sequence with first term 'a' as 100 and common ratio 'r' of 1.02. 100 x 1.02ⁿ > 150 1.02ⁿ > 150/100 =1.02ⁿ > 1.5 log₁₀(1.02ⁿ

Answered by • Maths tutor

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Please can you help me to understand the concept of price elasticity of demand (PED)?

PED is a measure of the responsiveness of demand following a change in the price of a good or service e.g. if the price of good X rose by 20%, PED would measure the extent to which the demand for good X c...

Answered by Tara P. • Economics tutor

3178 Views

What is the length of a if a triangle has lengths of b=6.4cm and c=5.6cm with an angle A=107.9 degrees?

We are going to have to use the cosine rule for this type of question. The cosine rule is a2=b2+c2 - 2bcCosATherefore a2= (6.46.4) + (5.65.6) - (26.45.6)*Cos107.9 If we plug this into ou...

Answered by Maria K. • Maths tutor

2946 Views

A car is travelling with a velocity of "0.5t^2+t+2" m/s at t=0 (where t is in seconds), find the acceleration of the car at a) t=0 b)t=2

Acceleration can be described as the 'rate of change of velocity' as it is simply how quickly the car is increasing/decreasing in velocity. Therefore as the velocity is described...

Answered by Dominic E. • Maths tutor

3040 Views

Observe the following set of data points: [1 2 2 2 3 4 8 9 9 10 10 12]. What is the mean and standard deviation of this data? Are the mean and standard deviation a good summary of the distribution, and why? Calculator allowed.

The mean of the data is calculated simply as the sum of the numbers divided by their count: (1+2+2+2+3+4+8+9+9+10+10+12) / 12 = 6.The standard deviation is the square root of the variance...

Answered by Andrey B. • Psychology tutor

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