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

Respond to this Question

First Name
School Subject
Your Answer

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. …
  4. business

    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