A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
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
anonymous
 3 years ago
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

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0first plug in all your values A=Initial V=Final k=? t=2

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[18000=30788e ^{2k}\] \[\frac{ 18000 }{ 30788 }=\frac{ 30788e ^{2k} }{ 30788 }\] \[.585=e ^{2k}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now 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 \[.268=k\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0when 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
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.