SOLUTION: Norma invested the start-up capital for her Internet business in two hedge funds. After one year one of the funds returned 5% and the other returned 6% for a total return of $5880

Algebra.Com
Question 33156: Norma invested the start-up capital for her Internet business in two hedge funds. After one year one of the funds returned 5% and the other returned 6% for a total return of $5880. If the amount on which she made 6% was $10,000 larger than the amount on which she made 5%, then what was the original amount of her start-up capital?
Answer by mukhopadhyay(490)   (Show Source): You can put this solution on YOUR website!
Investment at 5% = x dollars;
Investment at 6% = 10000+x;
Earnings in 1 year from 5% investment = .05x;
Earnings in 1 year from 6% investment = .06(10000+x);
Total earnings in 1 year = $5,880
=> .05x + .06(10000+x) = 5880
=> .11x + 600 = 5880
=> x = 5280/.11 = 48000;
Answer: The original amount of her start-up capital is $48,000+$58,000=$106,000

RELATED QUESTIONS

Norma invested the start-up capital for her Internet business in two hedge funds. After... (answered by Fermat)
Please Help! Norma invested the start-up capital for her Internet business in two hedge... (answered by checkley77)
Jason invested $12,000 in two funds. One of the funds returned 6% interest, and the other (answered by sachi)
Norma earns 1.5% annually in an online savings account and 4% in mutual funds. She... (answered by addingup)
A rollover IRA of $18,050 was invested in two mutual funds, one earning 12% interest and... (answered by ikleyn,MathLover1,greenestamps)
A rollover ira of $18050 was invested in two mutual funds one earning 12% interest and... (answered by richwmiller)
A rollover IRA of $19,200 was invested in two mutual funds, one earning 12% interest and... (answered by TimothyLamb)
a rollover ira of $18,750 was invested in two mutual funds one earning 12% interest and... (answered by mananth)
Max invested $15,000 in two different funds. One earned 6% interest in the first year and (answered by Boreal)