Explanations:
Given the following parameters
An initial deposit of Gerard is "d" dollars
For the savings with 5% interest, the interest on "d" dollars will be expressed as;
![\begin{gathered} \text{Interest = 5\% of d} \\ \text{Interest = 0.05d} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/d1cct3m6ze925zf1a3lb9jiljsl6ukifrp.png)
Get the total savings plus interest in the first account
![\begin{gathered} \text{Balance}=\text{Initial deposit + Interest} \\ \text{Balance=d+0.05d} \\ \text{Balance=1.05d} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/s9wnwav5oyin1pled2kojeg0d8l7km1ihi.png)
Hence the $1.05d will be in the first savings account if Gerard's initial deposit were d dollars
For the other account:
Initial deposit = "d" dollars
Interest = $100
Since the interest will be added to the first deposit, hence;
![\text{Balance=(d+100)dollars}](https://img.qammunity.org/2023/formulas/mathematics/college/qm411ukmo8bjm5kom1b7ozj9ijcd8mqu2f.png)
In Tabulated form: