Respuesta :

Let Lydia invest $x

Half of her stock pays 11% dividend.

So mathematically the amount will be

[tex]\frac{x}{2}\times\frac{11}{100}=\frac{11x}{200}[/tex]

With the other half, she pays stocks in 14% interest

So mathematically

[tex]\frac{x}{2}\times\frac{14}{100}=\frac{14x}{200}[/tex]

Her total annual interest is $420

So

[tex]\frac{11x}{200}+\frac{14x}{200}=420\Rightarrow25x=84000\Rightarrow x=3360[/tex]

She invested $3360 in total

And $1680 in each.

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