Given:
Lehana opened a savings account with a deposit of $50 and earned 2.5% simple interest per year.
Marty opened a savings account with a deposit of $50 and earned 2% simple interest per year.
To find:
The interest difference after 4 years.
Step-by-step explanation:
Using the simple interest formula,
![S.I=(Prt)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/yf7okx42aj1b9p4uq43lss73ra388brryz.png)
Substituting in the given formula,
![\begin{gathered} P=50 \\ r=2.5 \\ t=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/76xhbycv1v9by0fo6yesbzwdm8qroyijgj.png)
The simple interest earned by Lehana is,
![\begin{gathered} S.I=(50*2.5*4)/(100) \\ =\text{ \$}5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c5esdoh9vwnocpfutimw3cnnu2tsywonxk.png)
Substituting in the given formula,
![\begin{gathered} P=50 \\ r=2 \\ t=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/s8tmg63i9pijty6949795ybijbikbhf1mt.png)
The simple interest earned by Marty is,
![\begin{gathered} S.I=(50*2*4)/(100) \\ =\text{ \$4} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lje5z6tdwdz4bobbmbd66e81ctr7a0g63o.png)
Therefore, Lehana receive $1 in interest more than Marty after four years
Final answer:
Lehana will receive $1 in interest more than Marty after four years.