In 2005 a record 51.5% of paper consumed in the US was recycled.  The American Forest and Paper Association states its goal is to have 65% recovery by 2014,  Assuming the growth is linear, find the function, R(t), for the percentage of paper recycled t years since 2000.

Q: If the growth rate showed a constant increase from 150 animals per year in 2015 to 285 animals per…

A: Answer 4.1:   Answer 4.2: The red triangle area represents an increase in animal population growth…

Q: The population of bison in Canada was found to have a growth rate of  20%. If the If the population…

A:

Q: The function represents the rate of flow of money (in dollars per year) over the given time period,…

A: Given that, The function of future value is  f(t) = 2000  rate, r = 3% = 0.03 time , t = 3 years  To…

Q: In the year 2004, the age-adjusted death rate per 100,000 Americans for heart disease was 249.1. In…

A: Let the required exponential model be, ft=a·bt   →1 Given that ft=249.1 when t=0, therefore from…

Q: A savings account has an initial balance of $1,000 and earns 3 percent interest compounded monthly.…

A:

Q: A bond is purchased for $1,000 that pays 6 percent of the purchase price annually. Is the amount…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Total income over first 8 year is:-

Q: 1 A baseball Card inifialy worth $36 cuppreciates each year at a rate of 2% each year, Write an…

A:

Q: In 2000 (t=0), the world consumption of a natural resource was approximately 20 trillion cubic feet…

A:

Q: new

A: Please refer to the image below

Q: Find an exponential growth or decay model in terms of the number of time periods x. P(x) -

A:

Q: In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the population had…

A: Given,           In the 2000 U.S.​ Census, a small city had a population of 45,000. By​ 2010, the…

Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

A: Modeling a given set of data in 2 variables is the process of finding the expression relating the…

Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A: Initial population =45000 Growth Rate=3%=0.03 At 2016, t=2016-2015=1 So the population in 2016 is:

Q: Insulation workers who were exposed to asbestos and employed before 1960 experienced an increased…

A: Number of lung cancer cases occurring within the group are modeled using the function - N(t) =…

Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

A:

Q: In the year 2006, the age-adjusted death rate per 100,000 Americans for heart disease was 238.5. In…

A: (a) Let exponential model for the given data will be, Dt=D0e-λt, where Dtis death rate 100,000…

Q: B: Would the graph of y = 1.5x show exponential growth or exponential decay?

A:

Q: Estimate the instantaneous rate of change of the function shown in the graph at x=600.

A:

Q: A factory machine was purchased for $45,000 and has an estimated lifetime of 8 years. If the scrap…

A: Solution:   Initial Value = 45000 Final Value =  3000 rate of depreciation = r t = Time period = 8…

Q: If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000…

A: Initial population= 2000 Growth factor = 3 Tripling time = 60 minutes  So the exponential model is…

Q: The Montag Family purchased a house in 2020 and expects its value (in thousands of dollars) t years…

A: Here, modeled function  V(t)=310(1.08)t    Which means initially price of the house is 310 thousands…

Q: When $1000 is invested at r% interest (compounded continuously) for 10 years, the balance is f (r)…

A: Consider that $1000 is invested at r% interest compounded continuously for 10 years. Calculate the…

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

A:

Q: Suppose that the price p (in dollars) and the weekly demand, x (in thousands of units) of a…

A: 6p+x+xp=94,  x=4,  p=9  &  dpdt=2 Differentiating with respect to t (time), we get…

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function…

A:

Q: Estimate the value of x to the nearest tenth when the y-value of the exponential function begins to…

A: We have to estimate the value of x to the nearest tenth when the y-value of the exponential function…

Q: ) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the…

A:

Q: The city of Calgary has been tracking the number of hares in Nose Hill Park. In 2008, there were 483…

A:

Q: 7 Since the development of the iPod, the stock price of Apple has been growing rapidly and has been…

A: Given that the stock price of Apple has been growing rapidly using equation y=3.2e0.5x We compare…

Q: An initial investment of $6000 grows at 5% per year. What function represents the value of the…

A: Given that initial investment made = $6000 It is said that the investment grows 5% per year. This is…

Q: By 2019, nearly $1 out of every $5 spent in the U.S. economy is projected to go for health care. The…

A: The figure is:

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market…

A:

Q: Personal care aide is an occupation that is growing quickly. Assume that, in a certain region, tehre…

A: Consider that in 2014 the number of personal care aides is x.

Q: Find the present value of a continuous income stream F(t) = 30 + 8t, where t is in years and F is in…

A: Given: A continuous income stream is: F(t)=30+8t Where t is in years and F is in thousand of dollars…

Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well thatís…

A: weight of bucket=3lb weight of water at starting=37lb deepness of the well =60 feet bucket lifts at…

Q: Use the model to estimate the profit in `1989 y =

A: Given, Y = -0.08 X+ 21.70 where, Y represents profit for a certain company  X represents years after…

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

A:

Q: The average number of weekly social media posts varies jointly with the poster's yearly income (in…

A: Let the average number Of weekly post be ‘N’ Let yearly income be ‘I’ And age in years be ‘A’ The…

Q: A retailer Sold 18o units of a product when the price was $30/unit, after a price increase of $5,…

A: We have to fund the cost at which the units to be sold to maximize the revenue.

Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

A:

Q: The count in a bacteria culture was 600 after 15 minutes and 16054 after 35 minutes. Assume that…

A: Given that      The count in a bacteria culture was 600 after 15 minutes and 16054 after 35 minutes.…

Q: The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of…

A: The population of a city can be modeled by P(t)=17e0.04t thousand persons, where t is the number of…

Q: Use exponential regression to find an exponential function that best fits this data.

A:

Q: About the size of New Jersey, Israel has seen its population soar to more than 6 million since it…

A: From the graph, it is given that the population of Palestinians in the West Bank, Gaza strip and…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A:

Q: Write the equation for the exponential function that passes through the points (0, 1) and (3, 53)…

A: The exponential function passes through the points 0,1 and 3,53 with asymptotes as y=-1. Assume the…

Q: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Solve,…

A: Given: In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.