7. Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2 8. A population of beetles can be modeled by the equation y = 1000sin (12t)+8000 where t is in years. (a) Find the maximum population of beetles. (c) Find the length of time between successive periods of maximum population. 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a function that models the number of fish at any time t.

7. Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2 8. A population of beetles can be modeled by the equation y = 1000sin (12t)+8000 where t is in years. (a) Find the maximum population of beetles. (c) Find the length of time between successive periods of maximum population. 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a function that models the number of fish at any time t.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...

See similar textbooks

Similar questions

Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning