newgeneration1310 newgeneration1310
  • 02-12-2019
  • Mathematics
contestada

The population of Collin County, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010. Find the exponential growth rate, k.

Respuesta :

ifeomajuliet2018
ifeomajuliet2018 ifeomajuliet2018
  • 02-12-2019

Answer:

p=ak^t

p1=491272*k^0

p2=782341*k^10

782341/491272 = k^10

k=1.047629

growth rate is 4.7629%

2012: predicted population is 491272*1.047629^12=858,642 people

1245863=491272*1.047629^t

1.047629^k=2.5363599

ln both sides is k ln 1.0476=ln 2.5363

t=20.000 years.

Rule of 72 would say 72/4.76 or 15.12 years for doubling

14.90 years

2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.

Answer Link

Otras preguntas

why does a bicycle fitted with solid tyres give a bumper ride than on which has air fitted tyres
how are elements and compounds alike
Whats an direct object? and indirect object? btw am very bad at understanding things so please explain with lots of details! Thnx!
Write365,098 in word form
Need help drawing a picture to show 9/7
During the bitter struggle over reconstruction policy, Congress overrode Johnson's veto of the
simplify this expressionn-10+9n-3
five times a number minus 12 is 92. what is  the number
Im having a little trouble in math, math in particular. Its a small question, and I feel like I kinda know it, but heres an example question:(-2)4 (the four is
What is the value of 15/124×230/30÷230/124