A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never rescued. The natural resources of the island restrict the population to a limiting value of 5810, to which the population gets closer and closer but which it never reaches. The population of the island after time t, in years, is approximated by the logistic equation given below. Complete parts (a) through (c). P(t)= 5810 1+4.81e-0.7t a) Find the population after 11 years. (Round to the nearest integer as needed.)
A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never rescued. The natural resources of the island restrict the population to a limiting value of 5810, to which the population gets closer and closer but which it never reaches. The population of the island after time t, in years, is approximated by the logistic equation given below. Complete parts (a) through (c). P(t)= 5810 1+4.81e-0.7t a) Find the population after 11 years. (Round to the nearest integer as needed.)
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Part 1
A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never rescued. The natural resources of the island restrict the population to a limiting value of
58105810,
to which the population gets closer and closer but which it never reaches. The population of the island after time t, in years, is approximated by the logistic equation given below. Complete parts (a) through (c).Upper P left parenthesis t right parenthesisP(t)equals=StartFraction 5810 Over 1 plus 4.81 e Superscript negative 0.7 t EndFraction58101+4.81e−0.7t
Question content area bottom
Part 1
a) Find the population after
1111
years.enter your response here
(Round to the nearest integer as needed.)
Transcribed Image Text:A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never rescued. The natural resources of the island restrict the population to a limiting value of
5810, to which the population gets closer and closer but which it never reaches. The population of the island after time t, in years, is approximated by the logistic equation given below.
Complete parts (a) through (c).
P(t) =
5810
1+4.81e-0.7t
a) Find the population after 11 years.
(Round to the nearest integer as needed.)
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