The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate of 0.836%. The population P ( t ) (in millions) can be modeled by P ( t ) = 16.9 ( 11.00836 ) t , where t is the number of years since 2011. a. Write a function of the form P ( t ) = P 0 e k t to model the population. b. Determine the amount of time required for tile population to grow to 20 million if this trend continues. Round to the nearest year.
The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate of 0.836%. The population P ( t ) (in millions) can be modeled by P ( t ) = 16.9 ( 11.00836 ) t , where t is the number of years since 2011. a. Write a function of the form P ( t ) = P 0 e k t to model the population. b. Determine the amount of time required for tile population to grow to 20 million if this trend continues. Round to the nearest year.
Solution Summary: The author explains the exponential function P(t)=abt to compute exponential growth or decay.
The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate of 0.836%. The population
P
(
t
)
(in millions) can be modeled by
P
(
t
)
=
16.9
(
11.00836
)
t
, where t is the number of years since 2011.
a. Write a function of the form
P
(
t
)
=
P
0
e
k
t
to model the population.
b. Determine the amount of time required for tile population to grow to 20 million if this trend continues. Round to the nearest year.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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