The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 can be approximated by a logistic function with k0.0014 where t is the number of years since 1990. In 1990 (when t=0), the number of users was about 4 million, and the number is expected to level out around 220 million. (a) Find the growth function G() for the number of Internot uners in the country Estimate the number of Internet users in the country and the rate of growth for the following years (b) 1995 (e) What happens to the rate of growth over time? (c) 2001 (d) 2011 Cure (0) G(1) =D (Type an exact answer in terms of e)
The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 can be approximated by a logistic function with k0.0014 where t is the number of years since 1990. In 1990 (when t=0), the number of users was about 4 million, and the number is expected to level out around 220 million. (a) Find the growth function G() for the number of Internot uners in the country Estimate the number of Internet users in the country and the rate of growth for the following years (b) 1995 (e) What happens to the rate of growth over time? (c) 2001 (d) 2011 Cure (0) G(1) =D (Type an exact answer in terms of e)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:Suppose researchers have compared the following two models that are used to predict the weight of beef cattle of various ages, where W, () and Wat) represent
weight (in kilograms) of a t-day-old beef cow. Answer parts (a) through (e) below
w,) = 505.7(1-0942 e-0.001041)
Wa(0) = 496 6 (1-0.888 e-0021) 1 25
(a) What is the maximum weight predicted by each function?
The maximum weight predicted by W, () is kg
(Type an integer or a decimal)
stion
stion
Transcribed Image Text:The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 can be approximated by a logistic function with k=0.0014,
where t is the number of years since 1990. In 1990 (when t=0), the number of users was about 4 million, and the number is expected to level out around 220
million.
(a) Find the growth function G() for the number of Internet users in the country
Estimate the number of Internet users in the country and the rate of growth for the following years.
(c) 2001
(e) What happens to the rate of growth over time?
(b) 1995
(d) 2011
(@) G(t) =D
(Type an exact answer in terms of e)
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