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.Year19701972 1974 1976 1978Death Rate 252.7 241.2 230.3 219.9 209.9C(a) Find an exponential model for these data, where t=0 corresponds to the year 1970. If you do not have suitable technology, use the first and last data points to find afunction. If you have a graphing calculator or other suitable technology, use exponential regression to find a function.f(t) = (Type an equation. Round to four decimal places as needed.)

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Answered: The table shows the age-adjusted death…

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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The following table relates the weight of garbage in tons to the time in years since 1984. It is known that the relationship is exponential. Use the table to answer the following questions. Number of years since 1984 1 3 5 7 9 Weight of garbage (in tons) 2580 3715.2 5349.888 7703.83872 11093.52776 What is the 2-year growth factor? What is the 1-year percent change? What was the weight of the garbage in 1982?
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
Find the exponential functions for the following data: X y -50 20000 0 24000 50 28800 100 34560 x y 0 2 10 4 20 8 30 16
Plot the following sets of data and write the best fit exponential function using a graphing calculator. I CHECK ANSWER 0 1 2 دن 4 5 hp y -2.6 -3.61 -5.02 -6.98 -9.71 Write the best fit exponential function in the form y = ab. Round to 2 decimal places. -13.49 59 TO 0 60 124 O ↑ 92.0 Mon Feb
The following data represent a portion of quarterly net sales (in $ millions) of Lowe's Companies, Inc., over five years. Net Sales 8861 10169 1 9984 Source: All data retrieved from Annual Reports for Lowe's Companies, Inc. Click here for the Excel Data File a-1. Estimate an exponential trend model with seasonal dummy variables. (Round your answers to 4 decimal places.) Year 2004 2004 2008 Intercept d1 d2 d3 t Variable Quarter 1 2 1 1 Se Exponential Trend A 1 Year 2 2004 3 2004 4 2004 5 2004 6 2005 7 2005 8 2005 9 2005 10 2006 11 2006 12 2006 13 2006 14 2007 15 2007 16 17 2007 2007 2008 18 19 2008 2008 20 21 2008 B Quarter 123-AWNA W NAWN-AW23 4 4 3 4 4 4 C Net Sales 8861 10169 9064 8550 9913 11929 10592 10808 11921 13389 11211 10406 12172 14167 11565 10379 12009 14509 11728 9984
Perform simple exponential smoothing (using Excel’s Data Analysis or other software such as Minitab) using α = .05, .10, .20, and .50. Which value of α do you prefer? U.S. / U.K. Foreign Exchange Rate, U.S. Dollars to One British Pound (n = 60 days) Date Rate 1-Nov 1.2950 4-Nov 1.2906 5-Nov 1.2870 6-Nov 1.2872 7-Nov 1.2829 8-Nov 1.2790 12-Nov 1.2855 13-Nov 1.2840 14-Nov 1.2879 15-Nov 1.2901 18-Nov 1.2965 19-Nov 1.2926 20-Nov 1.2918 21-Nov 1.2915 22-Nov 1.2829 25-Nov 1.2885 26-Nov 1.2850 27-Nov 1.2881 29-Nov 1.2939 2-Dec 1.2936 3-Dec 1.3002 4-Dec 1.3095…
Health Services Expenditures The following tablegives total U.S. expenditures (in billions of dollars)for health services and supplies for selected yearsfrom 2000 and projected to 2018. a. Find an exponential function to model these data,with x equal to the number of years after 2000.b. Use the model to estimate the U.S. expendituresfor health services and supplies in 2020.
Please answer part C
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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