Compound Interest 5E8Ea8
1. **Problem Statement:** Find the formula for yearly compound amount (CA) for principal Rs. 'P', time 'T' years, and rate of interest R% per annum.
2. **Formula:** The compound amount after T years with annual compounding is given by:
$$CA = P \left(1 + \frac{R}{100}\right)^T$$
This formula means the principal amount grows by a factor of $\left(1 + \frac{R}{100}\right)$ each year, compounded annually.
3. **Important Rules:**
- The rate R is expressed as a percentage, so divide by 100 to convert to decimal.
- Compound interest means interest is added to the principal each year, so next year's interest is on the increased amount.
4. **Find the annual rate of compound interest offered by the bank:**
Given data is incomplete here, but if you have the principal, time, and compound amount, you can find R by rearranging the formula:
$$R = 100 \left(\left(\frac{CA}{P}\right)^{\frac{1}{T}} - 1\right)$$
5. **Find compound amount at the end of 2 years:**
Use the formula with $T=2$:
$$CA = P \left(1 + \frac{R}{100}\right)^2$$
Substitute the values of P and R to get the amount.
**Final answers depend on given numerical values which are not fully provided here.**