#57, explain how to get to -ln(2) on part B also please from 1/2?? ### Mathematical Growth Models#### 54. Market GrowthAnalyze the given model to address the following questions.- **Graphical Analysis**: Graph the provided functions to visualize growth over time.#### 55. Organizational GrowthThe equation \( N = 500(0.02)^{0.7t} \) models the number of employees \( N \) after \( t \) years.- **Initial Employees**: Determine the value of \( N \) when \( t = 0 \).- **Employee Milestone**: Calculate the duration required for the workforce to reach at least 100 employees.#### 56. Sales GrowthThe equation \( N = 200(0.01)^{0.8t} \) gives daily sales \( N \) after \( t \) days of a promotional campaign.- **Sales Target**: Find the number of days required for daily sales to reach at least 60 units.#### 57. Drugs in the BloodstreamThe concentration \( y \) of a drug in the bloodstream after \( t \) hours is modeled by \( y = 100(1 - e^{-0.462t}) \).- **Concentration After 1 Hour**: Compute \( y \) when \( t = 1 \).- **Time to Reach Concentration**: Determine the time needed for \( y \) to reach a concentration of 50.

Answered: Image /qna-images/answer/9862a8b1-2d2f-4514-907c-ff6718553fd4.jpg

per day? 57. Drugs in the bloodstream The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with 0 sIS 15) is given by the equation y = 100(1 - e-04621) (a) What is y after 1 hour (t 1)? (b) How long does it take for y to reach 50?

per day? 57. Drugs in the bloodstream The concentration y of a certain drug in the bloodstream t hours after an oral dosage (with 0 sIS 15) is given by the equation y = 100(1 - e-04621) (a) What is y after 1 hour (t 1)? (b) How long does it take for y to reach 50?

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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