(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.
Algebra and Trigonometry (6th Edition)
6th Edition
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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Question
(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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