Question
When principal $P$ is compounded semi-annually at $r\%$ per annum for $t$ years, then Amount = ________.
✓
Answer
When principal $P$ is compounded semi-annually at $r \%$ per annum for $t$ years, then Amount = $\text{A}=\text{P}\Big(1+\frac{\text{r}}{200}\Big)^{\text{2t}}$.
Solution:
When principal $P$ is compounded semi-annually at $r\%$ per annum for $t$ years. i.e., Rate$=\frac{\text{r}}{2}$ and time, $t = 2 × t$ then, amount = Principal
$\Big(1+\frac{\text{Rate}}{200}\Big)^{2\times\text{Time}}$ i.e., $\text{A}=\text{P}\Big(1+\frac{\text{r}}{200}\Big)^{\text{2t}}$
Solution:
When principal $P$ is compounded semi-annually at $r\%$ per annum for $t$ years. i.e., Rate$=\frac{\text{r}}{2}$ and time, $t = 2 × t$ then, amount = Principal
$\Big(1+\frac{\text{Rate}}{200}\Big)^{2\times\text{Time}}$ i.e., $\text{A}=\text{P}\Big(1+\frac{\text{r}}{200}\Big)^{\text{2t}}$
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