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There are numerous alternative ways to solve these simultaneous equations. For this problem, one of the simplest methods is to multiply the first equation by 3, so that we get 6x in both equations:
Rearrange 1/u + 1/v = 1/f
to make u the subject of the formula. Give your answer in its simplest form.
There are a number of ways to approach this problem.
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...
(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
percentage profit = percentage increasepercentage increase = (difference/original) x 100 = (50 - 40)/40) x100=25%
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