The table shows the​ age-adjusted death rates per​ 100,000 citizens for heart disease in a certain country. Complete parts​(a) through​ (c) below. Year Death Rate 2000 256.2 2002 239.4 2004 217.0 2006 211.8 2008 184.2 2010 177.1 2012 171.3 2014 165.0 ​(a) Find an exponential model of the form f(t)=y0b^t for these​ data, where t=0 corresponds to the year 2000. If you do not have suitable​ technology, use the first and last data points to find a function. If you have a graphing calculator or other suitable​ technology, use exponential regression to find a function.     ​f(t)=_ (_)^t (Round to two decimal places as​ needed.)   ​(b) Assuming the model remains​ accurate, estimate the death rate in 2020 and 2025.  The death rate in 2020 will be:___  people per​ 100,000.  ​(Round to one decimal place as​ needed.) The death rate in 2025 will be:___ people per​ 100,000. ​(Round to one decimal place as​ needed.)   ​(c) Use a graphing calculator​ (or trial and​ error) to determine the first full year in which the death rate will be below 100.   The first full year in which the death rate will be below 100 is:___

Q: picture included

A:

Q: What roles do the functions ex and ln x play in growth comparisons?

A: Given:

Q: In a city of half a million, there are initially 800 cases of a particularly virulent strain of the…

A: Initial value=a=800Rate of increase=r=40%=0.4 Therefore logistic model of the potential cumulative…

Q: In a city of half a million, there are initially 400 cases of a particularly virulent strain of flu.…

A: Consider the provided question, In a city of half a million, there are initially 400 cases of a…

Q: Suppose that fis an exponential function with percentage decay rate of 5% and that f(0) = 9. Find a…

A:

Q: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

A:

Q: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Continuous growth model is  P = P0.ert where P0 = initial population and.    P = final population…

Q: n Example 6 we used data from 1920 and projected to 2050 and found that the expected life span in…

A:

Q: Suppose a population grows according to a logistic model with initial population 500 and carrying…

A:

Q: According to U.S. world census data, the world population in 1995 was 5,690,865,776 with a natural…

A: Logistic Model: A logistic model is used to model the population growth. In this model, the growth…

Q: If the present value of $1000 to be received in 5 years is $559.90, what rate of interest,…

A:

Q: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

A:

Q: Find a possible formula for the exponential function through the points (0,3) and (3,24) graphed…

A: Let the exponential function be It passes through (0, 3), therefore, we have

Q: Suppose that a particular pond can sustain up to 30,000 tilapia and that the undisturbed population…

A: The logistic model is given as: dP/dt = 4(1 - P/30000)P When P = 15000, we get, dP/dt = 4(1 -…

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A: Since, the number of cases increasing according to cumulative rate so we will use the formula of…

Q: In the exponential growth or decay function y = y0ekt, what does y0 represent? What does k…

A: Given, y=y0ekt this function follow a model where, y0= the initial state of system k>0 is a…

Q: Suppose a population grows according to a logistic model with initial population 1000 and carrying…

A:

Q: Show that if a radioactive substance has a half-life of T, then the corresponding exponential decay…

A: For a substance with exponential decay the differential equation for the amount N  is dNdt=-kN. Here…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: topic - exponential function

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

A:

Q: Suppose that fis an exponential function with percentage growth rate of 1% and that f(0) = 4. Find a…

A: Given The percentage growth rate is 1% and f0=4.

Q: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

A: In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu.…

Q: Consider a population that begins growing exponentially at a base rate of 4.1​% per year and then…

A: Given that a population is begins growing exponentially at a base rate of  r=4.1% per year and then…

Q: Suppose a population of elk in a certain ecosystem is following a logistic growth model, where the…

A:

Q: A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find…

A:

Q: 3) Suppose that in a certain fish hatchery, the fish population is modeled by the logistic growth…

A: This is a problem related to exponential model function. Based on the general formula and concept we…

Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

A:

Q: Suppose y = cekæ is an exponential function that has the points (3.1,4.8) and (14.3,16.6) on its…

A:

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A:

Q: In 2005, Bhutan had a population of about 2200000 and an annual growth factor of 1.02111 Let f(t) be…

A:

Q: According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to…

A:

Q: Consider the following end of year prices, rounded to a dollar of DGT (SPDR Global Dow) - 150…

A: Singer - Terhaar model is  a financial equilibrium model that uses ICAPM   Step 1: Calculate the…

Q: Consider the model for limited logistic growth given by_______A =c/(1 + ae-bt). The amount, or size,…

A: Consider the given limited logistic growth model, A=c1+ae-bt where a, b, and c are the positive…

Q: Consider the following estimated model, where the dependent variable is the log of the hourly wage:…

A: Given: logwage=0.417+0.17educ+0.0295tenure-0.00059tenure2

Q: Suppose $8000 is invested at 4% interest compounded continuously. How long will it take for the…

A: Given- P=$8000, r=4% and A=$16,000 To Find- The time that will it take for the above investment to…

Q: In a city of half a million, there are initially 200 cases of a particularly virulent strain of flu.…

A: Consider the given information. The logistic model is defined as, N=K1+be-rt Where, K is carrying…

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

Q: Suppose a population grows according to a logistic model with initial population 200 and carrying…

A: The logistic differential equation is dPdt=kP1-PL, where L is the carrying capacity. The solution of…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Doubling time is the amount of time it takes for a value or quantity to double in size whenever the…

Q: Would the graph of y - 1.5x show exponcential growth or exponential decay?

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: The following table contains the demand from the last 10 months. Calculate the exponential smoothing…

A: The exponential smoothing is calculated using the formula, Ft=Ft-1+αAt-1-Ft-1 The exponential…

Q: uppose that a machine's production can be considered as a continuous income stream with annual rate…

A: Given,A continuous income stream with annual rate of flow at time t is given byf(t( = 10,000 - 800t…

Q: Suppose that f is an exponential function with percentage decay rate of 8% and that  f(0) = 6.…

A:

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A:

Q: The current student population of Pittsburgh is 2100. If the population decreases at a rate of 11.8%…

A:

Q: Find the Present Value of an investment that achieved $1,000,000 in 30 years at 6% interest…

A:

Q: In a city of half a million, there are initially 400 cases of a particularly virulent strain of flu.…

A: Initially there are 400 cases of a particularly virulent strain of flu. infections increases 40%…

Q: Nitrogen dioxide, NO2, is an air pollutant resulting from burning fossil fuels in cars and power…

A: Given information: Given data represents the values of the dependent variable y = NO2  and the…

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.