The table shows worldwide wind energy generating capacity E, in megawatts, over time. Year 1980 1985 1990 1995 1997 1999 2000 2001 2002 2003 2004 wind energy 10 1,020 1,930 4,820 7,640 13,840 18,450 24,930 32,040 40,300 47,910 (a) Find an exponential function that best fits the data, where t is years since 1980. (Round all numerical data to three decimal places.) (b) What is the doubling time for this exponential function, in years? (Round your answer to two decimal places.) yr (c) Predict the total wind energy generating capacity in 2019 in megawatts. (Round your answer to the nearest integer.) mw

Which of the following display exponential growth? Select all that apply. OP = 750(0.995)* OP = 5,000() Population Year Size 2003 1,250 2004 1,375 2005 1,513 2006 1,665 2007 1,832 Number of Population Years Size 850 1 955 2 1,060 3 1,165 4 1,270 Time Population size

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

Year Population (millions)  1960 12.1  1970 13.2  1980 14.3  1990 15.8  2000 17.0  1. Sketch the data and the curve of the best fit on the same graph. You need to adjust time (start  counting time from 1960).  2. Find the equation of the best exponential fit relating P (country’s population in millions of people)  with time t (years after 1960).  3. What is the population’s annual percentage growth rate?