a sum of amount as r% compound interest doubles in 3 years . In 9 years it will be k times of original principal . find the value k . pls help me with this question . with correct explanation pls . I will mark as brainlist and will give you 30 thanks. spamming will be reported
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Step-by-step explanation:
A sum becomes double in 3 years
If Principal is 'P'
2P
4P
8P
3 years
6 years
9 years
Hence, it becomes '8' times in 9
years.
ALTERNATE:
A = P[1+ r/100]^n =
A= 2P in 3 years
2P = P[1+ r/100]^3 'p' both LHS and RHS]
[dividing by
2 = [1+ r/100]^3.(1)
kP = P[1+ r/100)^9
k= [1 + r/100]^9 .i)
On cubing the eq. (i)
2^3 = { [1 + r/100)^3)^3
8 = [1 + r/100]^9.(i)
k= 8
Hence, 8 times