WE know that
![A=Pe^(rt)](https://img.qammunity.org/2023/formulas/mathematics/high-school/5drqeoscjn6fncl992j2z04p3erm9eojdf.png)
where A is the future value including interest, P is the the initial deposit, r is the annual interest rate and t is the time. Then in our case
![\begin{gathered} A=300e^((.01)(3))^{} \\ =309.1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cco0t6ezb5z8iw1mceiryojudy9p4fb6m4.png)
Then after three years we have 309.1. Substracting the initial deposit, we see that we earned 9.1 dollars.