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When principal P is compounded semi-annually at r % per annum for t years, then amount ______. - Mathematics

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Question

When principal P is compounded semi-annually at r % per annum for t years, then amount ______.

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Solution

When principal P is compounded semi-annually at r % per annum for t years, then amount `underlinebb(A = P(1 + r/200)^(2t))`.

Explanation:

When principal P is compounded semi-annually at r% per annum for t years.

i.e. Rate `r/2` and time = 2 × t

Then, amount = Principal `(1 + "Rate"/200)^(2 xx "Time")`

i.e. `A = P(1 + r/200)^(2t)`

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Chapter 9: Comparing Quantities - Exercise [Page 290]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 32. | Page 290

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