Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old), subadult (1 to 2 yrs), and adult (over 2 yrs old). They concluded that the change in the makeup of the bird population in successive years could be described by the matrix equation below. The numbers in the column matrices give the numbers of females in the three age groups after n years and n + 1 years. Note that j, is the number of juveniles, s, is the number of sub-adults, a. Suppose there are currently 460 juveniles, 140 subadults, and 1400 adults. Determine the total number of female birds for each of the next 5 years. In the first yea there will be female birds. (Do not round until the final answer. Then round to the nearest whole number as needed.) and a, is the number of adults at time n. Jn+ 1 0 0.32 Jn Sn+ 1 %3D 0.17 O 0.73 0.94 an an+1

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 22CT
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Question
In the second year there will be 4?
female birds.
(Do not round until the final answer. Then round to the nearest whole number as
needed.)
?
In the third year there will be
female birds.
(Do not round until the final answer. Then round to the nearest whole number as
needed.)
?
In the fourth year there will be
female birds.
(Do not round until the final answer. Then round to the nearest whole number as
needed.)
?
In the fifth year there will be
female birds.
Transcribed Image Text:In the second year there will be 4? female birds. (Do not round until the final answer. Then round to the nearest whole number as needed.) ? In the third year there will be female birds. (Do not round until the final answer. Then round to the nearest whole number as needed.) ? In the fourth year there will be female birds. (Do not round until the final answer. Then round to the nearest whole number as needed.) ? In the fifth year there will be female birds.
Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),
subadult (1 to 2 yrs), and adult (over 2 yrs old). They concluded that the change in the makeup
of the bird population in successive years could be described by the matrix equation below. The
numbers in the column matrices give the numbers of females in the three age groups after n
vears and n + 1 years. Note that j, is the number of juveniles, s, is the number of sub-adults,
a. Suppose there are currently 460 juveniles, 140 subadults, and 1400 adults,
Determine the total number of female birds for each of the next 5 years. In the first vear
there will be female birds.
(Do not round until the final answer. Then round to the nearest whole number as
needed.)
and a, is the number of adults at timen
In + 1
0 0.32
in
Sn+1
0.17
0 0.73 0.94
an
an+1
Transcribed Image Text:Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old), subadult (1 to 2 yrs), and adult (over 2 yrs old). They concluded that the change in the makeup of the bird population in successive years could be described by the matrix equation below. The numbers in the column matrices give the numbers of females in the three age groups after n vears and n + 1 years. Note that j, is the number of juveniles, s, is the number of sub-adults, a. Suppose there are currently 460 juveniles, 140 subadults, and 1400 adults, Determine the total number of female birds for each of the next 5 years. In the first vear there will be female birds. (Do not round until the final answer. Then round to the nearest whole number as needed.) and a, is the number of adults at timen In + 1 0 0.32 in Sn+1 0.17 0 0.73 0.94 an an+1
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