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Maths
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If I have £730 in my bank account which has 2.5% compound interest per year, how much more money will be in there after two years?

AFTER 1 YEAR: interest = £730 x 0.025 = £18.25

Rotal money in my account = £730 + £18.25 = £748.25.

AFTER 2 YEARS: intere...

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Answered by Sally H. Maths tutor
4120 Views

Given 4x+7y=25 and 2x+5y=17, identify x and y by solving the simultaneous equations

First thing we have to do is to eliminate one of the variables, either x or y (it doesn’t matter which one). In order to achieve that, we aim to have the same co-efficient (number in front of x or y) o...

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Answered by Andreas O. Maths tutor
7995 Views

How would you differentiate ln(x^2+3x+5)?

Here we need to use the chain rule because we have a function (natural log) of another function (x^2+3x+5). Let u=x^2+3x+5, and differentiate lnu with respect to u, this gives us 1/u. Then we different...

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Answered by Oli H. Maths tutor
24205 Views

Given 6x+2y=4 and 5x+y=8, solve the simultaneous equations to find x and y.

The key here is to eliminate one of the variables; it doesn't matter whether we start by trying to get rid of x or y we will arrive at the same solution. For us to eliminate either x or y it is easiest to...

RM
Answered by Rebecca M. Maths tutor
8086 Views

Given y=(1+x^3)^0.5, find dy/dx.

In order to solve this question, we need to use the chain rule when differentiating. The chain rule formula is dy/dx= (dy/du)(du/dx). Let u=1+x3Differentiating with respect to x gives du/dx...

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Answered by Rebecca M. Maths tutor
5746 Views

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