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a person plans to invest twice as much money in a lord abbett developing growth B account at 8.2% annual interest as in a bridgeway micro-cap limited account at 21.5% annual interest. how much should the person invest in each account to earn a total of $758 in one year?

Respuesta :

calculista

Answer:

The amount invested in the account that paid 8.2% is $4,000 and the amount invested in the account that paid 21.5% is $2,000

Step-by-step explanation:

Let

2x -----> the amount invested in the account that paid 8.2%

x -----> the amount invested in the account that paid 21.5%

in this problem we have

[tex]8.2\%=8.2/100=0.082\\21.5\%=21.5/100=0.215[/tex]

we know that

[tex]2x(0.082)+x(0.215)=758[/tex]

Solve for x

[tex]0.164x+0.215x=758[/tex]

[tex]0.379x=758[/tex]

[tex]x=\$2,000[/tex]

so

[tex]2x=\$4,000[/tex]

therefore

The amount invested in the account that paid 8.2% is $4,000 and the amount invested in the account that paid 21.5% is $2,000

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