The number of new domestic wind turbine generators installed each year in a particular country has been forecast to increase at a constant multiplicative rate of 15% per annum for the foreseeable future. This year (t = 0) 100 new generators were installed.

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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Question

The number of new domestic wind turbine generators installed each year in a particular country has been forecast to increase at a constant multiplicative rate of 15% per annum for the foreseeable future. This year (t = 0) 100 new generators were installed. What is the total number of new generators including this year's, that would have been installed within the next ten years (that is up to and including year t = 9)? Use a discrete model for the growth process.

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Table 1. DEMOGRAPHY OF COUNTRY X 2020 2018 2015 Total population 109,035,343 100,981,437 92,337,852 Average annual population growth rate 1.63 (2015- 2020) 1.72 (2010- 2015) 1.90 (2000- 2010) Population density (persons per square kilometer) 363 337 308 Births (Based on civil registration) Male 990,390 750,871 632,870 Female 952,126 972,802 487,798 Deaths (Based on civil registration) Timely 506,530 509,762 473,987 Late 106,820 110,382 116,803 2012 2009 2005 Total population by sex 102,303,977 93,114,333 89,088,544 Male 51,962,069 46,257,634 44,788,757 Female 50,341,908 46,856,699 44,299,787 Proportion of total population by sex Male 50.79 49.68 50.27 Female 49.21 50.32 49.73 Total population by age group 0-4 years 10,931,818 10,784,233 10,656,575 0-14 years 32,793,155 30,937,734…