The equation N(t) = 1100 1 + 195e−0.625t models the number of people in a school...
The equation
N(t) =
| 1100 |
| 1 + 195e−0.625t |
models the number of people in a school who have heard a rumor
after t days.
To the nearest tenth, how many days will it be before the rumor
spreads to half the carrying capacity?
Homework Answers
.
.
Answer : 8.4 days
Add Answer to:
The equation
N(t) =
1100
1 + 195e−0.625t
models the number of people in a school...
Answer asappp (1 point) A rumor spreads through a school. Let y(t) be the fraction of...
Answer asappp
(1 point) A rumor spreads through a school. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1 - y that has not yet heard the rumor. The school has 1000 students in total. At 8 a.m., 108 students have heard...
(1 point) Suppose that news spreads through a city of fixed size of 800000 people at...
(1 point) Suppose that news spreads through a city of fixed size
of 800000 people at a time rate proportional to the number of
people who have not heard the news.
(a.) Formulate a differential equation and initial condition for
?(?), the number of people who have heard the news ?t days after it
has happened.
No one has heard the news at first, so ?(0)=0. The "time rate of
increase in the number of people who have heard the...
The spread of a rumor in a town can be modeled as N = 500/T, where...
The spread of a rumor in a town can be modeled as N = 500/T, where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor? O 8 days o 12 days O 16 days 4 days
1000 A news item is spread by word of mouth. The number of people who have...
1000 A news item is spread by word of mouth. The number of people who have heard the news after days is given by the function a) How many people will have heard the news after 4 days? b) Al what rate wil the news be spreading after 4 days? c) At what rate will the news be spreading after 12 days? d) When will the news be spreading at the greatest rate? .) How many people wil eventually hear...
A certain community consists of 1700 people, and one individual has a particularly contagious strain of...
A certain community consists of 1700 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 1700 1 + 1699 -0.35 where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 14 days? Round your answer to the nearest whole number. people...
Introduction to Differential Equations
Suppose that news spreads through a city of fixed size of 900000 people at a time rate proportional to the number of people who have not heard the news.(a.) Formulate a differential equation and initial condition for y(t), the number of people who have heard the news t days after it has happened.No one has heard the news at first, so y(0)=0 . The "time rate of increase in the number of people who have heard the news is proportional...
ONLY attempt to answer if you know how to solve it correctly. Wrong answers will be downvoted.
ONLY attempt to answer if you know how to solve it
correctly. Wrong answers will be downvoted.
Suppose a student carrying a cold virus returns to an isolated college campus of 2000 students. Determine a differential equation for the number of people x(t) who have rate at which the disease spreads is proportional to the number of interactions between the number o students who have the cold and the number of students who have not yet been exposed to it....
Use logistic growth method One day on a college campus, when 10,000 people were in attendance,...
Use logistic growth method
One day on a college campus, when 10,000 people were in attendance, a particular student heard that a certain controversial speaker was going to make an unscheduled appearance. This information was told to friends who in turn related it to others, and the rate of growth of the spread of this information was jointly proportional to the number of people who heard it and the number of people who had not heard it. (a) If after...
In a town whose population is 2600, a disease creates an epidemic. The number of people...
In a town whose population is 2600, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t)- 2600 1+34 -0.6t. Complete parts a) through c) below a) How many are initially infected with the disease (t = 0)? (Round to the nearest whole number as needed.) b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days. The number infected...
2. Two differential equations modeling problems follow. Do at least one of them (a) i. If...
2. Two differential equations modeling problems follow. Do at least one of them (a) i. If N is the (fixed, constant) population in among residents can often be modeled as follows: Let x = x(t) be the number of people who have heard caught the disease by time t days. Then the disease spreads via the interactions between those who have the disease, and those who don't. The rate of transmission of the disease is thus proportional to the product...
Answer asappp
(1 point) A rumor spreads through a school. Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1 - y that has not yet heard the rumor. The school has 1000 students in total. At 8 a.m., 108 students have heard...
(1 point) Suppose that news spreads through a city of fixed size
of 800000 people at a time rate proportional to the number of
people who have not heard the news.
(a.) Formulate a differential equation and initial condition for
?(?), the number of people who have heard the news ?t days after it
has happened.
No one has heard the news at first, so ?(0)=0. The "time rate of
increase in the number of people who have heard the...
The spread of a rumor in a town can be modeled as N = 500/T, where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor? O 8 days o 12 days O 16 days 4 days
1000 A news item is spread by word of mouth. The number of people who have heard the news after days is given by the function a) How many people will have heard the news after 4 days? b) Al what rate wil the news be spreading after 4 days? c) At what rate will the news be spreading after 12 days? d) When will the news be spreading at the greatest rate? .) How many people wil eventually hear...
A certain community consists of 1700 people, and one individual has a particularly contagious strain of influenza. Assuming the community has not had vaccination shots and are all susceptible, the spread of the disease in the community is modeled by 1700 1 + 1699 -0.35 where A is the number of people who have contracted the flu after t days. (a) How many people have contracted the flu after 14 days? Round your answer to the nearest whole number. people...
ONLY attempt to answer if you know how to solve it
correctly. Wrong answers will be downvoted.
Suppose a student carrying a cold virus returns to an isolated college campus of 2000 students. Determine a differential equation for the number of people x(t) who have rate at which the disease spreads is proportional to the number of interactions between the number o students who have the cold and the number of students who have not yet been exposed to it....
Use logistic growth method
One day on a college campus, when 10,000 people were in attendance, a particular student heard that a certain controversial speaker was going to make an unscheduled appearance. This information was told to friends who in turn related it to others, and the rate of growth of the spread of this information was jointly proportional to the number of people who heard it and the number of people who had not heard it. (a) If after...
In a town whose population is 2600, a disease creates an epidemic. The number of people N infected t days after the disease has begun is given by the function N(t)- 2600 1+34 -0.6t. Complete parts a) through c) below a) How many are initially infected with the disease (t = 0)? (Round to the nearest whole number as needed.) b) Find the number infected after 2 days, 5 days, 8 days, 12 days, and 16 days. The number infected...
2. Two differential equations modeling problems follow. Do at least one of them (a) i. If N is the (fixed, constant) population in among residents can often be modeled as follows: Let x = x(t) be the number of people who have heard caught the disease by time t days. Then the disease spreads via the interactions between those who have the disease, and those who don't. The rate of transmission of the disease is thus proportional to the product...
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