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The value of a car depreciates by 35% each year. At the end of 2007 it was £5460. Work out the value of the car at the end of 2006.

-This question wants us to work backwards.Let N be the value of the car in the year 2006. Find the multiplier . 1-0.35 = 0.65. Hence N * (0.65) = £5460. Rearrange for N. N = £8400

Answered by Rithvik G. • Maths tutor

10251 Views

The second and fifth terms of a geometric series are 750 and -6 respectively. Find: (1) the common ratio; (2) the first term of the series; (3) the sum to infinity of the series

x_n = ar^(n-1)(1) x₂= 750 = ar¹(2) x₅= -6 = ar⁴divide second equation by first-6/750 = r³r³= -0.008r= -0.2Insert in...

Answered by Henry P. • Maths tutor

5792 Views

How do you factorise a quadratic equation where the coefficient of x^2 isn't 1?

For this, we need to use the formula ax²+bx+c. Multiply the coefficient of a from your equation with the value of c. This gives you a value from which you need to find 2 factors of this value w...

Answered by Rosie G. • Maths tutor

5570 Views

How do you factorise a quadratic equation where the coefficient of x² isn't 1?

Using the formula ax²+bx+c, multiply the value of coefficient a, from your equation, with the value of c. Next, try to think of two factors of the number you just calculated, which also add tog...

Answered by Grace R. • Maths tutor

3063 Views

One important question type to be able to answer is integrating squared trig functions. like cos^2(x)

This question requires selecting the correct double angle formulae.
cos(2x)=2cos^2(x)-1 is rearranged to 1/2(cos(2x)+1)
this can now be integrated with the students knowledge of standard integra...

Answered by Andrew R. • Maths tutor

2982 Views