Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 71,000 grows at a rate of 3.5% per year. a. Create an exponential function of the form Q = Q, x (1 +r)', (where r>0 for growth and r<0 for decay) to model the situation described. Q=x* (Type integers or decimals.)

Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 71,000 grows at a rate of 3.5% per year. a. Create an exponential function of the form Q = Q, x (1 +r)', (where r>0 for growth and r<0 for decay) to model the situation described. Q=x* (Type integers or decimals.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 14EQ

See similar textbooks

Similar questions

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
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?
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.
Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.