In a city, a rumour is spreading about the safety of corona vaccination. Suppose N number of people live in the city and f ( t ) is the number of people who have not yet heard about the rumour after t days. Suppose f ( t ) is given by f ( t ) = N e − k t , where k is a constant. If the population of the city is 1000 , and suppose 40 have heard the rumor after the first day. After how many days (approximately) half of the population would have heard the rumor?
In a city, a rumour is spreading about the safety of corona vaccination. Suppose N number of people live in the city and f ( t ) is the number of people who have not yet heard about the rumour after t days. Suppose f ( t ) is given by f ( t ) = N e − k t , where k is a constant. If the population of the city is 1000 , and suppose 40 have heard the rumor after the first day. After how many days (approximately) half of the population would have heard the rumor?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
Related questions
Question
In a city, a rumour is spreading about the safety of corona vaccination. Suppose
N
number of people live in the city and
f
(
t
)
is the number of people who have not yet heard about the rumour after
t
days. Suppose
f
(
t
)
is given by
f
(
t
)
=
N
e
−
k
t
, where k is a constant. If the population of the city is
1000
, and suppose
40
have heard the rumor after the first day. After how many days (approximately) half of the population would have heard the rumor?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage