If-a-sum-of-money-doubles-itself-in-a-time-T-when-compounded-continuously-find-the-rate-of-interest-in-terms-of-T-

Question Number 60441 by ajfour last updated on 21/May/19

If a sum of money doubles itself

in a time T, when compounded

continuously, find the rate of

interest, in terms of T .

Answered by tanmay last updated on 21/May/19

A = P {(1 + \frac{R}{100})}^{T}

A = 2 P

2 P = P {(1 + \frac{R}{100})}^{T}

{(2)}^{\frac{1}{T}} = 1 + \frac{R}{100}

R = 100 [2^{\frac{1}{T}} - 1]

Commented by ajfour last updated on 21/May/19

have you assumed annual compounding,

Sir, but i meant continous

compounding . .

Commented by tanmay last updated on 21/May/19

y e s i c o u l d n o t u n d e r s t s n d . .

Facebook Tweet Pin