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A price is decreased by 27% The new price is £1138.80 Work out the original price.

This can be solved by making an equation for the old price. Make the old price be equal to x. To find the new price the old price must be multiplied by the percentage of the old price that remains. To find t...
OG
Answered by Oliver G. • Maths tutor
4958 Views

N = 2a + b. a is a 2 digit square number, b is a 2 digit cube number. What is the smallest possible value of N?

First, the smallest values of a and b must be found and then substituted into the equation for N. To find a. A square number is a number that is the result of multiplying and number by itself . Eg 2 squared ...
OG
Answered by Oliver G. • Maths tutor
3936 Views

Work out the value of 125 to the power of -2/3.

We want to find 125 -2/3 . To do this, we will need to use lots of power rules that we have learnt. Firstly, when we put a power to another power, we multiply the two powers. For example, (2 3 ) 4 (2 to the ...
JR
Answered by Joe R. • Maths tutor
38543 Views

At t seconds, the temp. of the water is θ°C. The rate of increase of the temp. of the water at any time t is modelled by the D.E. dθ/dt=λ(120-θ), θ<=100 where λ is a pos. const. Given θ=20 at t=0, solve this D.E. to show that θ=120-100e^(-λt)

When solving any differential equation, the first method to consider is the seperation of variables. This is the simplest method and, conveniently, it works in this case. To seperate variables:1. Put all of ...
EW
Answered by Edmond W. • Maths tutor
9363 Views

A rollercoaster stops at a point with GPE of 10kJ and then travels down a frictionless slope reaching a speed of 10 m/s at ground level. After this, what length of horizontal track (friction coefficient = 0.5) is needed to bring the rollercoaster to rest?

Recognise that the intial potential energy and kinetic energy at 10 m/s position should be identical due to the frictionless slope. mgh = 0.5mv 2 10kJ = 0.5 x m x 10 2 10 000 = 0.5 x m x 100 50m = 10 000 m =...
DM
Answered by Daniel M. • Maths tutor
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