Respuesta :

We have the following equation to find the simple interes:

[tex]I=P\cdot n\cdot r[/tex]

where P is the principal amount, r is the rate and n is the time period.

In this case, we have the following:

[tex]\begin{gathered} P=6000 \\ n=4\%=0.04 \\ n=1 \\ \Rightarrow I=6000\cdot0.04\cdot1=240 \\ I=240 \end{gathered}[/tex]

thus, the interest after 1 year is $240.

To find the future value, we can add the interest to the principal amount to get:

[tex]F=6000+240=6240[/tex]

therefore, the future value is $6240

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