SOLUTION: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the:
(a) Annual growth rate
(b) Continuous growth rate
Round your answers to 3
Algebra.Com
Question 166778: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the:
(a) Annual growth rate
(b) Continuous growth rate
Round your answers to 3 decimal places.
(a) The annual growth rate is %.
(b) The continuous growth rate is %.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the:
---------------
Exponential Form: y = ab^x
15000 = 11000b^5
b^5 = 15/11
b = 1.064
-----------------
EQUATION: y = 11000*1.064^t
----------------------------------
(a) Annual growth rate: 0.064 or 6.4%
(b) Continuous growth rate: not sure what you mean by this.
=============================================================
Cheers,
Stan H.
RELATED QUESTIONS
A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, (answered by josmiceli)
A population doubles in size every 15 years. Assuming exponential growth, find the annual (answered by ankor@dixie-net.com)
The population of Adams Ville grew from 10,000 to 18,000 in five years. Assuming... (answered by josgarithmetic,stanbon,greenestamps)
The population of Adamsville grew from 8000 to 15000 in 6 years. Assuming uninhibited... (answered by josmiceli,greenestamps)
The population of Dallas County, which follows the exponential growth model, increaed... (answered by jorel1380)
A population grows according to an exponential growth model. The initial population is... (answered by ikleyn)
Suppose that $5000 is invested at interest rate k, compounded continuously, and grows to... (answered by ankor@dixie-net.com)
The population of Adamsville grew from 10,000 to 15,000 in 6 years. Assuming uninhibited... (answered by josgarithmetic)
the frog population in a small pond grows exponentially. The current population is 85... (answered by stanbon,SMM52091)