If algae grows at a rate that can be modeled by the exponential function A(t) = aert, what is the surface area of algae on a pond if the initial area of the algae (a) is 2 square meters, the growth rate (r) is 10%, and the algae grows for three days (t)? (Use a calcualtor or 2.718 for the value of e.)

If algae grows at a rate that can be modeled by the exponential function A(t) = aert, what is the surface area of algae on a pond if the initial area of the algae (a) is 2 square meters, the growth rate (r) is 10%, and the algae grows for three days (t)? (Use a calcualtor or 2.718 for the value of e.)

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

Section4.2: The Natural Exponential Function

Problem 1E: The function f(x)=ex is called the___________ Exponential function. The number eis approximately...

See similar textbooks

Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
To the nearest whole number, what is the initial value of a population modeled by the logistic equation P(t)=1751+6.995e0.68t ? What is the carrying capacity?
Match the exponential function with one of the graphs labeled I,II,III and IV, shown below. (a) f(x)=2x (b) f(x)=2x (c) f(x)=2x (d) f(x)=2x
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.