SOLUTION: please help me solve this : Moira inherited $15,000 and invested part of it in a money market account, part in municipal bonds and part in a mutual fund. After a year, she received

Question 1016109: please help me solve this : Moira inherited $15,000 and invested part of it in a money market account, part in municipal bonds and part in a mutual fund. After a year, she received a total of $730 simple interest from the 3 investments. The money market account paid 4% annually, the bonds paid 5% annually, and the mutual fund paid 6% annually. There was $2000 more invested in the mutual fund than in bonds. find the amount that Moira invested in each.
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
MM+MF+B=15000
MM(.04)+MF(.06)+B(.05)=730
MF=B+2000
Let's take the first 2 equations. Multiply the second by 100
4MM+6MF+5B=73000
and multiply the first by -4
-4MM-4MF-4B=-60000
and add these two together.
2MF+B=13000
But, MF=B+2000 so ,
2(B+2000)+B=13000
2B+4000+B=13000
3B=9000
B = 3000
MF = 5000
MM = 7000 (just subtract the first 2 from 15000.)
RELATED QUESTIONS
John received an inheritance of $12,000$12,000 that he divided into three parts and... (answered by Boreal)

Martin purchased company ABC's stock and invested the balance in his money market... (answered by Theo)

Solve Problems Using Linear Systems 8. Hakim invested $15 000. He put part of it in a... (answered by Earlsdon)

Joe has $6500.00 to invest. Part of this will be invested in a savings account yielding... (answered by elima)

Reggie Means invested part of $30,000 in municipal bonds that earn 6.5% annual simple... (answered by jpg7n16)

please help me i been working on this problem for 1 hour and i cant get the solution.... (answered by nerdybill)

An investor earned a total of $101 at the end of one year by investing $1,050 in a money... (answered by checkley77)

Interest. A high school student was able to save $8000 by working a part-time job every... (answered by stanbon)

A high school student was able to save $8000 by working a part-time job every summer. He (answered by stanbon)