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  • 27-02-2022
  • Mathematics
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09. Find the rate A sum of money doubled itself in 15 years. In how many years will it become 8 times of itself?​

Respuesta :

mehtj030 mehtj030
  • 27-02-2022

Answer:

45 years

Step-by-step explanation:

Let the sum be x and CI=2x

We know that

CI=P(1+100R)T

2x=x(1+100R) ^15

(1+100R)^15=2                

Let m be the number of years.

Therefore,

x(1+100R)m=8x

(1+100R)m=23

(1+100R)m=[(1+100R)^15]3          

From eqn(1)

(1+100R)m=(1+100R)45

On comparing both power, we get

m=45 years

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