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You put £800 in a bank account, which earns you 3.5% compound interest per year. How much interest would you have earned after seven years?

We start with £800 in the bank. As we are earning compound interest, it means that each year we get 3.5% of the original £800, plus 3.5% of any interest that has already been earned. So, at the end of the ye...
PM
Answered by Philippa M. • Maths tutor
5612 Views

For the curve f(x) = 2x^3 - 54x, find the stationary points and state the nature of these points

Firstly, find the values of x where f'(x) = 0 f'(x) = 6x 2 - 54 6x 2 - 54 = 0 6(x+3)(x-3) = 0 x = 3, y = -108 and x = -3, y = 108 Next, find the values of f''(x) at these points f''(x) = 12x When x = 3, f''(...
RW
Answered by Ruby W. • Maths tutor
4998 Views

Solve the simultaneous equations (1) 2a - 5b = 11 (2) 3a + 2b = 7

(1)x2 4a - 10b = 22(2)x5 15a + 10b = 35(1) + (2) 19a = 57a = 3sub a = 3 into (1)2(3) - 5b = 116 - 5b = 11-5b = 55b = -5b = -1
HC
Answered by Hannah C. • Maths tutor
9572 Views

A picture is bought at a sale for £40. It is laster sold for £50. What is the percentage profit?

percentage profit = percentage increasepercentage increase = (difference/original) x 100 = (50 - 40)/40) x100=25%
HC
Answered by Hannah C. • Maths tutor
6749 Views

Solve the simultaneous equations: 4x+3y=5 and x-y=3, to find the values of x and y.

First of all, we need to get the equations in a form so that either x or y can be eliminated. In this case, I have a positive amount of y, and a negative amount of y, meaning that I can add the two equations...
LP
Answered by Laura P. • Maths tutor
11849 Views