The sales decay for a product is given by S = 20,000e−0.3x,where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (a) What will be the sales 8 months after the end of the campaign? (Round your answer to two decimal places.) (b) How many months after the end of the campaign will sales drop below $1,000, if no new campaign is initiated? (Round up to the nearest whole number.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 10DE
icon
Related questions
Question

The sales decay for a product is given by S = 20,000e−0.3x,where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign.

(a) What will be the sales 8 months after the end of the campaign? (Round your answer to two decimal places.)

(b) How many months after the end of the campaign will sales drop below $1,000, if no new campaign is initiated? (Round up to the nearest whole number.)
1.
DETAILS
HARMATHAP12 5.3.025.MI.
MY NOTES
The sales decay for a product is given by S =
20,000e-0.3x, where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign.
(a) What will be the sales 8 months after the end of the campaign? (Round your answer to two decimal places.)
$
(b) How many months after the end of the campaign will sales drop below $1,000, if no new campaign is initiated? (Round up to the nearest whole number.)
months
Transcribed Image Text:1. DETAILS HARMATHAP12 5.3.025.MI. MY NOTES The sales decay for a product is given by S = 20,000e-0.3x, where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (a) What will be the sales 8 months after the end of the campaign? (Round your answer to two decimal places.) $ (b) How many months after the end of the campaign will sales drop below $1,000, if no new campaign is initiated? (Round up to the nearest whole number.) months
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax