Given that the principal (P) is $525, rate of interest (R) is 2(3/5)%, and the time (T) is 6 months (i.e. 0.5 year).
Then the total interest (SI) on the principal is calculated as,
[tex]\begin{gathered} SI=\frac{P\times R\times T}{100} \\ SI=\frac{525\times(2\frac{3}{5})\times0.5}{100} \\ SI=\frac{525\times(\frac{13}{5})\times0.5}{100} \\ SI=\frac{525\times13\times0.1}{100} \\ SI=6.825 \end{gathered}[/tex]Now, solve for the amount (A) as,
[tex]\begin{gathered} A=P+SI \\ A=525+6.825 \\ A=531.825 \\ A\approx531.82 \end{gathered}[/tex]Thus, Jeanine will have $531.82 in the account at the end of the 6 months.in