The table shows the age-adjusted death rates per 100,000 citizens for heartdisease in a certain country. Complete parts (a) through (c) below.YearDeath Rate256.9240 8217.0210.8185.720002002(a) Find an exponential model of the form f(t) = y,b° for these data, where t= 0corresponds to the year 2000. If you do not have suitable technology, use the firstand last data points to find a function. If you have a graphing calculator or othersuitable technology, use exponential regression to find a function.200420062008201020122014178.7171.8165.0(Round to two decimal places as needed.)

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Answered: Death Rate se in a certain country.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I have entered this question twice, and am still not getting the correct answers, please help. Complete the table by computing the absolute and relative change. Time Value Absolute Change Relative Change 0 12.58 XXXXX XXXXX 1 15.6 2 19.34 3 23.98 4 29.74 5 36.88 (i) Which of the following statements are true? Select all that apply.A. The data suggest that an exponential model would be appropriate.B. The data suggest that a linear model would be appropriate.C. The data increase by a fixed amount each year.D. The data show a constant growth rate.E. No model can be inferred from the data provided. (ii) Use the data from the table to construct the appropriate model to predict the value at future times. What value does your model predict when the time is 7.5?(Express your answer rounded correctly to the nearest hundredth.)Answer =
An economist tracks the price of a certain item at the beginning of several years and compiles the following table. 2014 2015 273.47 281.67 2016 290.12 2013 Year Price in dollars 265.50 (a) Show that the price is growing as an exponential function. (Let P be the price in dollars and t the time in years since 2013.) Calculate the ratios of new price/old price. (Round your answers to two decimal places.) P₁. Po P2, P1 P2 Does the table show exponential data? Yes No (b) Find an exponential model for the data. (Round the values to two decimal places. Let t be the time in years since 2013.) CP= 304.21 x 0.83t P = 290.12 x 0.97t CP= 260.00 x 1.12t P = 93.12 x 1.35* P = 265.50 x 1.03t (c) At the beginning of some year, the price will surpass $344. Use the model found in part (b) to determine which year.
11. The table shows the temperature of coffee (in Fahrenheit) as a function of the number of minutes since the coffee was poured from the pot into a cup. a. Graph the data on your calculator. Why is an exponential function a better fit for the data than a linear function? Temp (*F) 179.5 Time (mins) 5 168.7 8 158.1 11 149.2 15 141.7 18 134.6 22 125.4 123.5 116.3 113.2 109.1 105.7 102.2 100.5 25 b. Find the exponential regression equation for the data Round decimals to 4 places. 30 34 38 42 45 50 c. Compare the y-intercept of the regression equation you found to the corresponding real data value. How close are these values? d. Use the regression equation to predict the temperature of the coffee after an hour. e. Graph the regression equation on your calculator. Create a window that has an XMAX of at least 420 (that's 7 hours!). TRACE on the graph to find the temperature of the function after 420 minutes. What is the temperature? Explain why using the function to model the temperature…
The following table shows the income, measured in thousands of dollars, from sales of a certain magazine at the start of the given year. Find an exponential model for the income where I is the income, measured in thousands of dollars, and t is the number of years since 2000. Round the parameters to the nearest hundredth. Year 2000 2001 2002 2003 2004 Income 7.54 8.02 8.52 9.05 9.62 a) I = 7.54 x 1.06^tb) I = 7.51 x 0.52^tc) I = 1.06 x 7.51^td) I = 7.54 x 0.52^t
Choose the correct term to complete the sentence. The function y = a b models for a > 0 and 0 < b<1. A. growth factors B. exponential growth C. exponential decay
Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in the table below. P(x) 3 0.05 4 0.40 0.25 0.20 0.10 On average, how many years do you expect it to take for an individual to earn a B.S.? (Enter your answer to two decimal places.) 4.95 X years Additional Materials
gn Layout ab as: On 11 References A A Aa X₂ XⓇ A- Dv A Font Mailings Review A 1- V Accessibility: Good to go V View Help O Search E Paragraph V H Month-Year F For the data in the following table, compute the simple exponential smoothing forecast of retail gas prices with a=0.4. Determine the MSE. Round your answer to four decimal places. Gas Price Jul-14 $3.688 Aug-14 $3.565 Sep-14 $3.484 Oct-14 $3.255 Nov-14 $2.997 Dec-14 $2.632 Jan-15 $2.208 Feb-15 $2.301 Mar-15 $2.546 Apr-15 $2.555 Normal Matthew Negre No Spacing Styles Focus Head BA
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I need walked through this please. Complete the table by computing the absolute and relative change. Time Value Absolute Change Relative Change 0 17.67 XXXXX XXXXX 1 25.62 2 37.15 3 53.87 4 78.11 5 113.26 (i) Which of the following statements are true? Select all that apply.A. The data suggest that an exponential model would be appropriate.B. No model can be inferred from the data provided.C. The data increase by a fixed amount each year.D. The data show a constant growth rate.E. The data suggest that a linear model would be appropriate. (ii) Use the data from the table to construct the appropriate model to predict the value at future times. What value does your model predict when the time is 6.5?(Express your answer rounded correctly to the nearest hundredth.)Answer =
Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light -kx P (in decimal form) at a depth of x meters is given by P=e, where k is a constant related to the clarity and other physical properties of the water. The graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.2- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Depth (m) Erie: P = e -0.1980 x The euphotic depth for the open ocean is The euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X

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