The rule of the simple interest is
![I=P* R* T](https://img.qammunity.org/2023/formulas/mathematics/college/92d425sisnpclotp9e9fyrrctse7hkcluh.png)
P is the initial amount
R is the rate in decimal
T is the time in years
Since Kim places $1250, then
P = 1250
Since the rate is 4.25%, then
![R=(4.25)/(100)=0.0425](https://img.qammunity.org/2023/formulas/mathematics/high-school/h6kbvugrnjvxui2pyeycnxslzwu1r0cwya.png)
Since the time is 60 months, divide it by 12 to change it to years
![\begin{gathered} T=(60)/(12) \\ T=5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/sm11b58qdy83g4s2065zh087kaetif2my4.png)
Substitute them in the rule above
![\begin{gathered} I=1250*0.0425*5 \\ I=265.625 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/jy1pqgu01jaxkeor01j5bhex22imgto3ju.png)
Round it to the nearest hundredth
I = $265.63