A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

50000-x x is the amount of in $ ann invested in the account that pays 2.5% annual interset

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok what are you trying to solve for?

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    she invests 50,000 in two interst bearing accounts one pays 2.5 % interst and the second 3.75% at the end of one year the interest ann has earned on these is 1656.25 $ how much she invest in each of the accounts

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok got it!

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so what in an interest account, each year you earn the % of interest according to your original investment

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so from the first account, she will earn 2.5% of 50,000

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    from the second account, she will earn 3.75% of 50,000

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    or sorry, bad first assumption

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so we have two equations based on this information:

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    both involve amounts x and y

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we know that .025x + .0375y = 1656.25

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that is, the interest earned between the two accounts adds up to 1656.25, and by definition .025 of X is earned, and .0375 of y is earned in that year

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the other thing we know is that the total amount she invests is 50,000, so x + y = 50,000

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now since you have two variables, and two equations, you can use substitution to solve this

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so using the second equation, we know that y = 50,000 - x

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have to give a vebal descritpion of 50000-x

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not sure what you mean by verbal description

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but we know that 50000 - x is the amount invested in one of the banks

  18. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it says give a verbal description of what each of the follwoing expression represetn in the context of the problem letting x=2.5 %. 50,000 is the interest in the two accounts together

  19. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    she earned a total on the investements $1656.25

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    right. so what is the expression? 50,000 - x is the amount of money invested in the second bank, if we assume x is the amount invested in the 2.5% account

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we know that because the total amounts are equal to 50000

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x+y = 50000

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 50000 - x

  24. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and if x is the amount in the first account, 50000 - y is the amount in the 3.75% account

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that helping?

  26. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i still dont get it but i think i understand ur saying if both x and y equally to 50000 than if you take away .025 away from that than it will give you the answer correct

  27. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i need to know how to write it out

  28. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if she has a total at the end of the year of 1656.25 it is asking how much did she invest in both accounts with one being 0.025 and one being 0.0375 annual interest

  29. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since: 1. x + y = 50000 2. .025x + .0375y = 1656.25 We substitute for y in the second equation, using the first. i.e. y = 50000 -x Now substitute for y .025x + .0375 (50000 - x) = 1656.25. .025x + 1875 - .0375x = 1656.25 -.0125x = 1656.25 - 1875 -.0125x = -218.75 x = -218.75/-.0125 x = 17500

  30. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so looking above, she invested 17,500 in the bank with 2.5% interest rate (also known as .025 interest)

  31. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now that you've solved for one of the values, you can solve for the other (y) by sticking this result back into either equation

  32. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x+5 = 50000

  33. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *x + y

  34. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    since x = 17500, 17500 + y = 50000

  35. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 32500

  36. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so she invested 32500 in the second bank

  37. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (the one with .0375 interest)

  38. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now the final part is - check the answer. that is, at the end of the year, do those two values give you the correct total earned interest

  39. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so .025*17500 + 32500*.0375 = 437.50 + 1218.75 = 1656.25

  40. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so we know it's right

  41. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    make sense?

  42. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    kinda

  43. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.