(a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of mathematicians after 15 years, and (c) predict the percentage of mathematicians attending the conference in the long run.
(a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of mathematicians after 15 years, and (c) predict the percentage of mathematicians attending the conference in the long run.
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 24SE: Table 6 shows the year and the number ofpeople unemployed in a particular city for several years....
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(a) find the value of A and a, correct to 3 decimal places,
(b) predict the percentage of mathematicians after 15 years, and
(c) predict the percentage of mathematicians attending the conference in
the long run.
Transcribed Image Text:The percentage y of mathematicians attending the annual conference "Math-
ematics in Physics, Chemistry, Biology and Medicine" can be modelled, as a
function of the years t, by
y = 20 – Ae-at
Given that the percentage of participant mathematicians was 8 at the opening
year, and 14 after 10 years,
(a) find the value of A and a, correct to 3 decimal places,
(b) predict the percentage of mathematicians after 15 years, and
(c) predict the percentage of mathematicians attending the conference in
the long run.
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