# math

posted by .

Splitting investments. Joan had \$3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was \$290, than how much did she invest at each rate?

• math -

amount invested at 8% --- x
amount invested at 10% -- 3000-x

.08x + .10(3000-x) = 290
.08x + 300 - .1x = 290
-.02x = -10
x = -10/-.02 = 500

so \$500 invested at 8% and 2500 invested at 10%

• Math -

Investment. Part of \$25,000

## Similar Questions

1. ### math

1. Investment. Part of \$25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is \$3,200. Furthermore, the income from …
2. ### algebra

Could you please answer this? Investment. Part of \$25,000 is invested at 10 percent, another part is invested at 12 percent, and a third part is invested at 16 percent. The total yearly income from these three investments is \$3,200.
3. ### linear equation

A financial advisor is about to build an investment portfolio for a client who has \$100000 to invest. The four investments available are A,B,C, and D. Investment A will earn 4 percent and has risk of two “points” per \$ 1000 invested. …

Belinda had \$20,000 to invest. She invested part of it at 10% and the remainder at 12%. If her income from the two investments was \$2160, then how much did she invest at each rate?
5. ### Algebra

Belinda had \$50,000 to invest. She invested part of it at 10% and the remainder at 18%. If her income fromt he two investments was \$5,640, then how much did she invest at each rate?
6. ### College Math

Ed Moura has \$29,000 invested in stocks paying 5%. How much additional money should he invest in certificates of deposit paying 2% so that the average return on the two investments is 3%?
7. ### math

Ed has \$15,000 invested in stocks paying 8%. How much additional money should he invest in certificates of deposit paying 4% so that the average return on the two investments is 6%?
8. ### Math

Heather has divided \$8000 between two investments, one paying 8% and the other paying 6%. If the return on her investment is \$550 how much does she have in the larger investment?
9. ### finite mathematics

A financier plans to invest up to \$2 million in three projects. She estimates that Project A will yield a return of 10% on her investment, Project B will yield a return of 15% on her investment, and Project C will yield a 20% return …
10. ### college algebra

A \$136000 trust is to be invested in bonds paying 8%, CDs paying 7%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn a \$12040 annual income from the investments, how much should the …

More Similar Questions