In a study during the​ 1970's, it was found that one model of legislative turnover in the country A parliament was described by the following formula.   M(t)=417 e −0.08t   In this formula​ M(t) was the number of continuously serving members at time t.​ Here, t=0 represents​ 1965, t=1 represents​ 1966, and so on. Use this model to approximate the number of continuously serving members in each year.   ​(a)1969    ​(b)1974

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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In a study during the​ 1970's, it was found that one model of legislative turnover in the country A parliament was described by the following formula.
 
M(t)=417 e −0.08t
 
In this formula​ M(t) was the number of continuously serving members at time t.​ Here, t=0 represents​ 1965, t=1 represents​ 1966, and so on. Use this model to approximate the number of continuously serving members in each year.
 
​(a)1969   
​(b)1974   
​(c)1977
(Round to the nearest whole number as​ needed.)
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