Sunday, June 2, 2013

1400 invested in two mutual funds one earned 6% profit the other earned 4% profit total profit 80. how much invested in each account

P=1400
I=80
Assume t=1 
I%5B1%5D%2BI%5B2%5D=80 
or... 

0.06P%5B1%5D%2B0.04P%5B2%5D=80 
for convenience we multiply by 50 

3P%5B1%5D%2B2P%5B2%5D=4000 

and the total principal is: 


P%5B1%5D%2BP%5B2%5D=1400 
then we double each term 

2P%5B1%5D%2B2P%5B2%5D=2800 



Next we subtract to solve 

3P%5B1%5D%2B2P%5B2%5D=4000
2P%5B1%5D%2B2P%5B2%5D=2800 

P%5B1%5D=1200 

and thus 
P%5B2%5D=200 



:)

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