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Find the positive solution to the equation (x^2+9x+18)/(x^2-9)=10

If we first factorise the top and the bottom of the equation we can see that the top is equal to (x+6)(x+3) and the bottom is (x-3)(x+3). This means we can divide the top and bottom by (x+3) giving us a r...

Answered by Joseph R. • Maths tutor

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(e*sqrt(e))/cuberoot(e^2)=e^k find k

This an indices question. What you need to do is simplify the left hand side so that you have e to some power and that will give you k. You can start with the rule that square roots and cube roots are 1/t...

Answered by Tamanna D. • Maths tutor

2603 Views

Find the points where the curve given by: y = x^2 - 4x -12, and the line given by y = 2x - 12

They intersect at (0, -12) and (6, 0)

Answered by Rufus V. • Maths tutor

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John invests £8000 at compound interest rate of 1.5% per year. He wants to earn more than £2000 in interest. What is the LEAST time in WHOLE years that this will take?

Step 1) Create the formula: 8000 x 1.015ⁿStep 2) Equate to the target value: 8000 x 1.015ⁿ = ~~2000~~ 10000 (Common mistake is to use target of £2000 ...

Answered by Hamza H. • Maths tutor

2984 Views

Maths A-level Question, Rates of change involving a cylindrical vessel.

What do we know (IN) dv/dt = o.4π(OUT) dv/dt = 0.2π(h)^0.5 Initial height of water in vessel is 2.25m Diameter = 4m a) Show that at time t minutes after that tap has been opened, the height h m...

Answered by Zubin M. • Maths tutor

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