The population of a hornet nest experienced growth at a 20% monthly rate, compounded continuously. At the end of a 5 month period, the population reached a size of 815 hornets. Assuming that every month has 30 days, how many hornets were in the nest at the beginning of the 5 months according to the exponential growth function? Round your answer to the nearest whole number, and do not include units.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
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 2E
icon
Related questions
Topic Video
Question

The population of a hornet nest experienced growth at a 20% monthly rate, compounded continuously. At the end of a 5 month period, the population reached a size of 815 hornets.

Assuming that every month has 30 days, how many hornets were in the nest at the beginning of the 5 months according to the exponential growth function? Round your answer to the nearest whole number, and do not include units.

 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage