a. What is the country's growth rate? b. How long will it take the country to double its populations? In 2Use the formula t=kthat gives the time for a population, with a growth rate k, to double, to answer the following questions.The growth model A = 3 e 0.003t describes the population, A, of a country in millions, t years after 2003.

We need to find growth rate and time to double the population.

Answered: In 2 Use the formula t= that gives the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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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 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.
Rachel invests $15,000 at age 25. She hopes the investments will be worth when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?

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In 2 Use the formula t= that gives the time for a population, with a growth rate k, to double, to answer the following questions. The growth model A = 3 e 0.003t describes the population, A, of a country in millions, t years after 2003.