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Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6% per year. How much is invested at each rate?​

Respuesta :

Cricetus

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

  • The amount invested in 9% will be "x".
  • The amount invested in 6% will be "[tex]47,500-x[/tex]".

Now,

⇒  [tex]0.09x+0.06(47,500-x)=3000[/tex]

⇒        [tex]0.09x+2850-0.06x=3000[/tex]

⇒                     [tex]0.03x+2850=3000[/tex]

⇒                                [tex]0.03x=150[/tex]

⇒                                       [tex]x=\frac{150}{0.03}[/tex]

⇒                                       [tex]x=5000[/tex]

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