In the year 2006, the age-adjusted death rate per 100,000 Americans for heart disease was 238.5. In the year 2011, the age-adjusted death rate per 100,000 Americans for heart disease had changed to 197.2. a) Find an exponential model for this data, where t = 0 corresponds to 2006. f(t) = b) Assuming the model remains accurate, estimate the death rate in 2027. (Round to the nearest tenth.)

For the years from 2006 and projected to 2021, the national health care expenditures H, in billions of dollars, can be modeled by H = 2009e0.05194t where t is the number of years past 2005.† In what year are national health care expenditures expected to reach $2.5 trillion (that is, $2500 billion)?

The population of a colony of bacteria decreases exponentially, decreasing by 30% every three hours. The population is 240, 000 at noon. Find the population when it is decreasing at the rate of 50, 000 bacte- ria/hour. Express your answer in its simplest form. Do not use a calculator. Then, at the very end, use a calculator to compute the population.

Based on the scatterplot and residual plot, what type of model would be appropriate for summarizing the relationship between days and number of views? A popular television show recently released a video preview for the upcoming season on its website. As fans of the show discover the video, the number of views of the preview video has grown each day during the last 2 weeks. The number of days since the release of the video and the natural log of the number of video views is shown in the scatterplot. O An exponential model is appropriate because the residual plot does not show a clear pattern. O A linear model is appropriate because the scatterplot shows a strong, positive linear relationship. In(Views) vs. Days O A power model is appropriate because the scatterplot of days and natural log of views is strong and linear. 10 9.5 An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear…

Each month, Uncle Joe’s Auto Parts uses exponential smoothing (with α = 0.25) to predict the number of barrels of brake fluid that will be sold during the next month. In June Uncle Joe forecast that he would sell 37 barrels of brake fluid during July. Uncle Joe actually sold 43barrels in July. What is Uncle Joe’s forecast for brake fluid sales in August and September?

If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population increases exponentially.

The population of a certain inner-city area is estimated to be declining according to the model P() = 583,000e-0022, where is the number of years from the present. What does this model predict the population will be in 6 years? Round to the nearest person.

The population of an endangered species decreases at a rate of 7% per year. Approximately how long will it take the population to decrease to half of its current size?

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of  2100  bacteria selected from this population reached the size of  2335  bacteria in three hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model.   Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

A professor surveyed students on their study habits, where "x" is the number of hours studying and "y" is the resulting test score. Using a logarithmic regression, predict the number of hours needed to score 95.   (Graph and equation in picture provided)