Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question

Could you explain in detail how to solve these problems? The answers written in red are given to me from the teacher I'm just not sure how they got them.

a) The equation E (t) = 2737e0.13t models the number of people in Virginia who enrolled in a drug treatment center for cocaine use in Virginia for t years since 1995. i) Using E (t) determine the number of people enrolled in 2010. 19237 people ii) Using the change of base formula rewrite the formula as E (t) = Cat (round to the nearest thousandth) ECE) = 2737 (1.139)+
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Transcribed Image Text:a) The equation E (t) = 2737e0.13t models the number of people in Virginia who enrolled in a drug treatment center for cocaine use in Virginia for t years since 1995. i) Using E (t) determine the number of people enrolled in 2010. 19237 people ii) Using the change of base formula rewrite the formula as E (t) = Cat (round to the nearest thousandth) ECE) = 2737 (1.139)+
Expert Solution
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Step 1: Given the information

The given equation E open parentheses t close parentheses equals 2737 e to the power of 0.13 t end exponent, t represents the number of years since 1995.

The aim is to find the number of people in 2010 and rewrite the function in the form E open parentheses t close parentheses equals C a to the power of t.

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