Answer:
R = 1.2%
Explanation:
Given the following data;
Principal = 425
Time = 2
Simple interest = 10.20
To find the annual interest rate;
Mathematically, simple interest is calculated using this formula;
![S.I = \frac {PRT}{100}](https://img.qammunity.org/2022/formulas/business/college/4j519boc4qe6txue7418pnbtgilwdrdtt0.png)
Where;
- S.I is simple interest.
- P is the principal.
- R is the interest rate.
- T is the time.
Substituting into the equation, we have;
![10.20 = \frac {425*R*2}{100}](https://img.qammunity.org/2022/formulas/mathematics/college/qk44rk9b66pxgwq3aayuq8e516chfi94q1.png)
![10.20 = \frac {850R}{100}](https://img.qammunity.org/2022/formulas/mathematics/college/8bwqaju57798k35wpnevcjdewhjr0yr4ei.png)
Cross-multiplying, we have;
![1020 = 850R](https://img.qammunity.org/2022/formulas/mathematics/college/eiu4m2uljkh0186c2daele7ku59fa5zleo.png)
![R = \frac {1020}{850}](https://img.qammunity.org/2022/formulas/mathematics/college/w3c1mietzs2ljxdx1av5mvjo1xk2jamhf1.png)
R = 1.2%
Therefore, the annual interest rate is 1.2 percent.