Question: Use the exponential growth model, A = A e , to show that the time it takes a population to double (to grow from A

Use the exponential growth model, A = A e , to show that the time it takes a population to double (to grow from A to 2A ) is given by t = In 2 k . . . To find the time it takes to grow the population from A to 2A, substitute A =The half-life of the radioactive element unobtanium-43 is 5 seconds. If 32 grams of unobtanium-43 are initially present, how many grams are present after 5 seconds? 10 seconds? 15 seconds? 20 seconds? 25 seconds? The amount left after 5 seconds is grams. An artifact originally had 16 grams of carbon-14 present. The decay model A= 16 e "090012\" describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 8976 years. The amount of carbon-14 present in 8976 years will be approximately grams. (Round to the nearest whole number) Complete the table shown to the right for the population growth model for a certain country. 2005 Population (millions) Projected 2016 Population (millions) 16.5 32.4 Projected Growth Rate, k k = (Round to four decimal places as needed.) Complete the table shown to the right for the population growth model for a certain country. 2006 Population(millions) Projected 2042 Population (millions) Projected Growth Rate, k 121.5 0.0115 The projected 2042 population is D million. (Round to one decimal place as needed.) The exponential model A = 914 e 0.018t describes the population, A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1568 million. The population of the country will be 1568 million in D. (Round to the nearest year as needed.) The exponential models describe the population of the indicated country, A, in millions, tyears after 2006. Which country has Country 1: A: 133.5 6 0-003t 9 . _ . . the greatest growth rate. By what percentage Is the population of that country IncreaSIng each year? country 2: A = 26.3 9 00311 Country 3: A: 141 _7 2 -0.0061 Country 4: A =1093.7 e \"-0181 Country has the greatest growth rate. The exponential model A = 251.1 e .023t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003. . . . The population of the country in 2003 was million

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1 of 40 2.5 Points The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? A. 10...

Question 1 of 40 2.5 Points Use properties of logarithms to expand the following logarithmic expression as much as possible. log b (x 2 y) / z 2 A. 2 log b x + log b y - 2 log b z B. 4 log b x - log...

1. Using Descrates' rule of signs, how many real roots does f(x)=8x^3 + x^2 -7x - 13 contain? a. No positive real roots, no negative real roots b. two or zero positive real roots, one or zero...

Bus Econ 7.4.67 Question Help The total expenditures (in millions) of current dollars for pollution abatement and control during the period from 2000 through 2019 can be approximated by the function...

Use the exponential growth model, A = A 0 e kt , to show that the time it takes a population to double (to grow from A 0 to 2A 0 ) is given by t = In 2 k

The function f (z) = 12(6)" has been transformed to create function g (z) = 12(6)* How does the graph change from f (=) to g (I) O The graph will shift up 4 units. O The graph will shift left 4...

Use the exponential growth model, A = A 0 e kt , to show that the time it takes a population to triple (to grow from A 0 to 3A 0 ) is given by In 3 k

Use the exponential growth model A Apekt to find the time it takes a population to triple to grow from A to 3A t a Simplify your answer FFF

I'm struggling with questions 5-8, I already have the answers for questions 1-4 which in case you need them and they are as follows. 1) Expected population size for each country: A - 333,833,520 B -...

Section 7.2 Reading Assignment: Exponential Change and Separable Differential Equations Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read...

Two disks of identical mass but different radii (r and 2r) are spinning on frictionless bearings at the same angular speed ?0 but in opposite directions (Figure). The two disks are brought slowly...

Table 1 is from the paper by Kim and Loungani (1992), "The role of energy in real business cycle models," published in the Journal of Monetary Economics (issue 28, pages 173-189). Use the statistics...

1 : 4 2 : 1 4 remaining Question 5 0 ( 2 points ) The balance in the Accumulated Depreciation account represents the A ) amount charged to expense in the current period. B ) amount charged to expense...

Using the data set that you identified in week 1, use Excel to find the following descriptive statistics for the price data. Descriptive statistics: Mean Median Standard Deviation Use these summary...