A sum of money is doubled in 5
years.
What is its annual rate of interest?
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Use the equation: S = P(1+i)^t where:
S is the total Sum of money after the 5 years (or however long)
P is the Principal (original) amount of money invested
i is the annual interest rate
t is the number of years
Now rearrange in terms of i:
i = (S/P)^(1/t) - 1
You can plug in any values for S and P as long as S is double of P, and plug in 5 for t:
= (2/1)^(1/5) - 1
= 1.1487 - 1
= 0.1487
So the annual interest rate is 14.87%
Step-by-step explanation:
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