A total of $24,000 is invested in 3 accounts earning 5%, 7%, and 9% anual interest. The combind interest for one year is $1794. If the amount invested at 9% is four times the amount at 7%, find the amount invested at 5%.
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OpenStudy (mertsj):
Let x = amount invested at 7%
Then 4x = amount invested at 9%
24000-5x=amount invested at 5%
OpenStudy (mertsj):
Can you get it from there?
OpenStudy (anonymous):
how would I write that in an equation?
OpenStudy (mertsj):
.07x= interest on the 7% investment
.09(4x)= .36x=interest on 9% investment
.05(24000-5x)= interest on 5% investment
OpenStudy (mertsj):
Write the equation that says the total interest is $1794
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OpenStudy (anonymous):
how do I that?
OpenStudy (mertsj):
Do you know how to find a total?
OpenStudy (anonymous):
no I'm lost
OpenStudy (mertsj):
You go to the store and buy a CD for 10 dollars and toothpaste for 5 dollars. What is your total bill?
OpenStudy (anonymous):
oh $15 lol
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OpenStudy (mertsj):
So how do you find the total?
OpenStudy (anonymous):
you add them
OpenStudy (mertsj):
So if you know the total interest is 1794 would it make sense to add the 3 interest amounts and set it equal to 1794?
OpenStudy (anonymous):
ohh yeahh!
OpenStudy (anonymous):
$1382 at 5%
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