Jeanine deposits $525 in a bank account. The simple interest rate is 2 3/5% per year. Find the total amount in the account , including interest , in 6 months. Round your answer to the nearest cent

Respuesta :

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

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