Concept explainers
a.
To model the given situation in sigma notation.
a.
Answer to Problem 46E
Explanation of Solution
Given information:
35% convince 35% of 500,000 to buy and this goes on.
We can write the given expression as,
(35%=0.35)
Where
Hence sigma notation is,
b.
To determine number of people that will buy the product as a result of advertising campaign.
b.
Answer to Problem 46E
269,230 people will be convinced.
Explanation of Solution
Given information:
35% convince 35% of 500,000 to buy and this goes on.
Here we have to find sum of this infinite geometric series,
We know
Therefore we get,
Hence 269,230 people will be convinced.
c.
To determine the percentage of population convinced.
c.
Answer to Problem 46E
Around 53.8% people convinced
Explanation of Solution
Given information:
269230 people convinced of 500,000 people.
Percentage of population is
d.
To describe the assumption made by advertising agency.
d.
Explanation of Solution
The values we calculated are on assumption that the series goes to infinity.
That is 35% will convince 35% and so on, and does not stops.
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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