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If f(x)=(4x^2)-(8x)+3, find the gradient of y=f(x) at the point (0.5,0)

When you see the question asking you to find the gradient at a point in the curve, the first thing you have to do is differentiate. This is because when we differentiate,...

Answered by Girthanaah K. • Maths tutor

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You deposit 500 pounds at time t=0. At t=5 years, you have 800 pounds. The amount of money you have in the bank can be modeled as V(t)=A*(1+r)^t, where r is the interest rate. Find A and the interest rate r. After how many years will you have 1200 pounds.

At t=0, you deposit 500 pounds in the bank account: V(0)=500=A. At t=5, that amount of money is now, V(5)=800=500*(1+r)^5 i.e. 1+r = 1.6^(1/5) = 1.0986 (4dp) So the interest rate r is 9.86% (3 s.f.)Let T ...

Answered by Georgios A. • Maths tutor

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Solve the inequality (9x+5)/12 > (4x+1)/3

(9x+5)/12 > (4x+1)/3**** Multiply up the denominator terms 3(9x+5) > 12(4x+1)* As 3 is a factor of 12, divide both sides by 39x+5 > 4

Answered by Frances M. • Maths tutor

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Solve the following equation: (3(x-6) - 81)/4x = 0
The first step is to realise that a trivial solution of x is x = 0, which can be determined from the '4x' denominator. Now zooming in on the numerator and expanding gives us '3x^2 - 18 - 81'. Looking at t...
Answered by Harry P. • Maths tutor
2782 Views

Why do we use algebra?
Algebra is a very good way of generalising a particular scenario. For example, if you get a weekly allowance of £5 for leisure you can make an equation to calculate the amount of money you can save up in ...
Answered by Aaron R. • Maths tutor
1886 Views

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If f(x)=(4x^2)-(8x)+3, find the gradient of y=f(x) at the point (0.5,0)

You deposit 500 pounds at time t=0. At t=5 years, you have 800 pounds. The amount of money you have in the bank can be modeled as V(t)=A*(1+r)^t, where r is the interest rate. Find A and the interest rate r. After how many years will you have 1200 pounds.

Solve the inequality (9x+5)/12 > (4x+1)/3

Solve the following equation: (3(x-6) - 81)/4x = 0

Why do we use algebra?

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