Answer:
R = 1.2%
Step-by-step explanation:
<u>Given the following data;</u>
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://tex.z-dn.net/?f=%20S.I%20%3D%20%5Cfrac%20%7BPRT%7D%7B100%7D%20)
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://tex.z-dn.net/?f=%2010.20%20%3D%20%5Cfrac%20%7B425%2AR%2A2%7D%7B100%7D%20)
![10.20 = \frac {850R}{100}](https://tex.z-dn.net/?f=%2010.20%20%3D%20%5Cfrac%20%7B850R%7D%7B100%7D%20)
Cross-multiplying, we have;
![1020 = 850R](https://tex.z-dn.net/?f=%201020%20%3D%20850R%20)
![R = \frac {1020}{850}](https://tex.z-dn.net/?f=%20R%20%3D%20%5Cfrac%20%7B1020%7D%7B850%7D%20)
<em>R = 1.2%</em>
<em>Therefore, the annual interest rate is 1.2 percent. </em>