Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

haleyking345

A 2005 Jeep Wrangler that costs $30,788 new has a book value of $18,000 after 2 years. a.) Find the exponential model V= ae^kt

  • one year ago
  • one year ago

  • This Question is Closed
  1. haleyking345
    Best Response
    You've already chosen the best response.
    Medals 0

    Please help me!!!

    • one year ago
  2. MATTW20
    Best Response
    You've already chosen the best response.
    Medals 1

    ok I figured it out

    • one year ago
  3. MATTW20
    Best Response
    You've already chosen the best response.
    Medals 1

    first plug in all your values A=Initial V=Final k=? t=2

    • one year ago
  4. MATTW20
    Best Response
    You've already chosen the best response.
    Medals 1

    \[18000=30788e ^{2k}\] \[\frac{ 18000 }{ 30788 }=\frac{ 30788e ^{2k} }{ 30788 }\] \[.585=e ^{2k}\]

    • one year ago
  5. MATTW20
    Best Response
    You've already chosen the best response.
    Medals 1

    now to get rid of e we take the natural log of both sides \[\ln .585=\ln e ^{2k}\] \[-.536=2k\] then divide both sides by 2 and you get \[-.268=k\]

    • one year ago
  6. MATTW20
    Best Response
    You've already chosen the best response.
    Medals 1

    when you plug it in you get approximately 18,000. You actually get 18,013.56 but that's only because I rounded some of the numbers off .585, -.536,and -.268

    • one year ago
    • Attachments:

See more questions >>>

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.