To solve this problem we can use the simple interest formula
[tex]I=P\times r\times t[/tex]P represents the principal amount, r represents the rate(written as a decimal), and t represents the time in years.
Plugging the given values on this formula, we have
[tex]I=5850\times0.0972\times4\frac{1}{2}=568.62\times4\frac{1}{2}=2558.79[/tex]The interest after 4 1/2 years will be $2558.79.