A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

In september 1998 the population of the country of West Goma in millions was modeled by f(x) = 16.7e^0.0006x. At the same time the population of East Goma in millions was modeled by g(x) = 13.7e^0.0187x. In both formulas x is the year, where x=0 corresponds to September 1998. Assuming these trends continue, estimate the year when the population of West Goma will equal the population of East Goma.

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

    you have said to estimate x when both populations are equal... so, it is assumed that both populations are equal and written as 16.7e^0.0006x=13.7e^0.0187x The entire equation is divided by 13.7e^0.0187x which gives, 16.7e^0.0006x/13.7e^0.0187x=1 splitting the terms (16.7/13.7)(e^0.0006x/e^0.0187x)=1 16.7/13.7=1.21 e^0.0006x/e^0.0187x=e^-0.0181x so we get, 1.21e^-0.0181x=1 divide the whole equation by 1.21, e^-0.0181x=0.8264 taking natural logarithm on both sides, -0.0181x= -0.190676361 => x=10.53 x cannot be decimal number so approximating it to the closest integer 11 so aftr 11 yrs from 1998 population will be equal that is at 2009 population will be equal

  2. 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...


  • 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.