O EXPONENTIAL AND LOGARITHMIC FUNCTIONSFinding the time given an exponential function with base e that...The number of bacteria P (h) in a certain population increases according to the following function, where time h is measured in hours.P(h) = 1700e0.21hHow many hours will it take for the number of bacteria to reach 2300?Round your answer to the nearest tenth, and do not round any intermediate computations.hoursII

Given query is to find the time required to reach the bacteria to 2300.

Answered: Finding the time given an exponential…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.5: Exponential And Logarithmic Equations

Problem 19E

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A Skydiver If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases towards terminal velocity, an average-sized man has a terminal T of about 176 feet per second. The difference D=Tv is an exponential function of time, a. What is the initial value of D? b. Two second into fall, the velocity is 54.75 feet per seconds. Find an exponential formula for D. c. Find a formula for v. d. Express the velocity 4 seconds into the fall using functional notation, and then calculate that value.
Exponential equation (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places. e0.4x=8
(a) How is the number e defined? (b) Given an approximate value of e, rounded to five decimal places. (c) What is the natural exponential function?
Wealth Distribution Vilfredo Pareto (18481923) observed that most of the wealth of a country is owned by a few members of the population. Paretos Principle is logP=logcklogW where W is the wealth level how much money a person has and P is the number of people in the population having that much money. aSolve that equation for P. bAssume that k=2.1 and c=8000, and that W is measured in millions of dollars. Use part a to find the number of people who have 2 million or more. How many people have 10 million or more?

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