Answer:
263,606.9
Step-by-step explanation:
In 2004 the population in Morganton, Georgia, was 43,000.
(0, 43000)
The population in Morganton doubled by 2010
In 6 years the population is doubled (86000)
(6,86000)
[tex]A= a(b)^t[/tex]
Use (0,43000) in the above equation
[tex]A= a(b)^t\\43000= a(b)^0\\a=43000[/tex]
Now plug in (6,86000)
[tex]A= a(b)^t\\A= 43000(b)^t\\86000=43000(b)^6\\2=b^6\\b=\sqrt[6]{2} \\b=1.12[/tex]
[tex]A=43000(1.12)^t[/tex]
Now find out A when t=16 (2020)
[tex]A=43000(1.12)^t\\A=43000(1.12)^{16}\\A=263606.9[/tex]
