The Obama Administration instituted an economic recovery program in 2009 to arrest the recent decline in the US economy which manifested by continuous and persistent rapid closure of businesses.  The stimulus program which was meant to halt business closures in thousands is given by the logistic exponential function that follows:                  N(t) =   10.003   /  1+ 0.0003e 0.8t   Where year 0 equals 2009:   How many businesses closed in 2016? How many businesses are expected close by 2025 if the intervention works as planned? How many businesses are expected close by 2040 if the intervention works as planned?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 442RE: Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26....
icon
Related questions
Question

The Obama Administration instituted an economic recovery program in 2009 to arrest the recent decline in the US economy which manifested by continuous and persistent rapid closure of businesses.  The stimulus program which was meant to halt business closures in thousands is given by the logistic exponential function that follows:

 

               N(t) =   10.003   /  1+ 0.0003e 0.8t

 

Where year 0 equals 2009:

 

  1. How many businesses closed in 2016?
  2. How many businesses are expected close by 2025 if the intervention works as planned?
  3. How many businesses are expected close by 2040 if the intervention works as planned?

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Transcendental Expression
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage