Question

3. -18 points CraudColAlg6 4.2.EX.008. The exponential function N = 3500 x 1.71°, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.) (a) Calculate N(1.4). N(1.4) = Explain what your answer means. The population is about people after years. (b) What is the percentage growth rate per decade? (c) What is the yearly growth factor rounded to three decimal places? What is the yearly percentage growth rate? (d) What is the growth factor for a century? What is the percentage growth rate per century? Need Help? Read It Talk to a Tutor

Answer 1

Solution : - exponeitral function - N= 3500 X (17)d, where d is measured in decades, gives number of individuals in a certain population a) N (1:4) = 3500 x (170)" = 7417.5861 7418 (approx). 1.4 Here, d=1.4 decades 1.4x10 = 14 years The population is about [74171 people after years b) N = 3500 X(1.71) = 3500 X (1+0.71) . Growth rate factor per decade is 0.71 . Sercentage growth sate pa decade vis - 0.718100% 11A c) let Yearly growth facta rate be i As i decade = 10 years (Hijro = 1.71 5 (11) = (1-71) Vio > i = (1-7171 - -0.0551145 ed with yearly growth factor is [0.055 (approx) Scanned with CamScanner

tact 4% Percentage growth rate per year us 0.055 X100% = [5.5% d) As I century = 10 decades let growth rate per centurry be r Then (1+x) = (1-70'0 x = (1-71)"-1 = 213.77706 -1 =212.77706 Corsouth factor lor a century is 1212-7771 ... Growth factor for a (approx) Percentage growth rate per century is given O by 212-777 $100% - 21277-77 Scanned with CamScanner