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What is the method of working out interest?

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kilkenny | 15:20 Tue 22nd Jun 2010 | Quizzes & Puzzles
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I have £1000 and out it in the bank for six years. It doubles in value. How do I work out what the interest rate was?


Kilkenny
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Taking the rate of interest as annual, not monthly, the value is increased by the same percentage annually.
After 1 year it cecomes 1000 x some value A
After 2 years (1000 x A) x A = 1000A squared
After 6 years 1000 A to the sixth, which equals 2000.
So you need the sixth root of 2. Subtract 1 from it, and that should be the rate of interest. How you work out the sixth root of 2, I'll leave to you.
Forgive me if I'm wrong !!
If i = the interest rate.
(1+i)^^6 = 2
Now solve that equation for the value of i.
Does that help?
6th root of 2 = 1.12246205
Sorry. I should have added that the decimal you're left with after subtracting 1 has to be multiplied by 100 to get the percentage. It's likely to be in the region of 12%.
Oldred's done it for you - 12.24%

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