Answer:
11,357.3652
Step-by-step explanation:
This is an exponential growth equation. So fo course you'll need to make the equation first. [tex]f(x)=a(b^{x} )[/tex]
"a" would be the initial value
"b" would be the growth factor
"x" would be time so in this case # of years
In this problem 8600 would be your initial value and x would be 4.
They gave you the growth rate which is 7.2% so your going to have to find the growth factor from the growth rate.
To do this you convert the percentage into a decimal then add 1 which represents 100%.
You will end up with 1.072 so this is your growth rate.
Insert all the values into their corresponding 'letters' if you will, and you get the equation [tex]f(x)=8600(1.072^{4} )[/tex]
Then you solve.
