(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.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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. 

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.
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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