Answer:
![The\text{ ending balance = \$7594.25}](https://img.qammunity.org/2023/formulas/mathematics/college/3nqqwebz6765anan8hn4q6bmhqjdhktn8c.png)
Step-by-step explanation:
Given:
$7.400 at 10.5% for 1/4 years
To find:
The ending balance from the equation given using simple interest
The ending balance here the total amount that will be gotten after the duration of 1/4 years
Using simple interest formula:
![\begin{gathered} \text{I = PRT} \\ I\text{ = interest = ?} \\ P\text{ = principal = \$7400} \\ R\text{ = rate = 10.5\% = 0.105} \\ T\text{ = time = }(1)/(4)year \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ibnsejzl8nqzd60qdwf1tzmdet06bqjxqk.png)
substitute the values in the formula:
![\begin{gathered} I\text{ = 7400 }*\text{ 0.105 }*\text{ }(1)/(4) \\ \\ I=\text{ 194.25} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f0cmqsimqxxi3h2lhd3u10mudcren33wse.png)
The ending balance = Interest + Principal
![\begin{gathered} The\text{ ending balance = 194.25 + 7400} \\ \\ The\text{ ending balance = \$7594.25} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/iwensmqiaax6cb23034vnio2365jnp3ndt.png)