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

Which expression is equivalent to x + x + x + 5 + 5, no matter what value is substituted in for x? A) 3x + 5 B) 3x + 7 C) x + 10 D) 3x + 10
One example of a very complex land ecosystem full of thousands of kinds of living things
What do Muslims believe a prophet is? A deity. An angel. A minister. A messenger.
How do you find the Greatest Common Factor?
What is a summary about fears and phobias
How do you turn 0.93 as a fraction in simplest form and how do you show the work
arange 8.508 8.58 7.5 7.058 in decreasing order
Nucleic acids are composed of monomers called a. ribose. b. base pairs. c. amino acids. d. nucleotides.
A planet in our solar system is located far from the sun describe the size and composition of the planet
What is a positive connotation for odd??