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

What is the surface area of a rectangular prism with length 5 centimeters width 2 centimeters and height 3 centimeters
z + 6 over 3 = 2z over 4
simplify square root of 10 times square root of 8 . (1 point) square root of 18 4 square root of 5 square root of 80 none of the above
what is equivalent to 5.745
a good writer is a good reader discuss
If you travel at a rate of 45 miles per hour, how many minutes will it take you to travel 1 mile
Which of the following statements about defensive medicine is true? A. It's motivated by the needs of the patient. B. It can mean excessive medical tests. C. In
let f(x) = 2x − 6. solve f−1(x) when x = 2. select one: a. −5 b. 4 c. −2 d. 7
What's 5/12 as a decimal
Which of the following expressions is equivalent to the expression 4/7 times 5/9