Answer:
The predicted sales revenue for 2017=$501,334.008
Step-by-step explanation:
If something reduces at a constant rate over a specified period of time, then it can be represented using an exponential function as follows;
y=a(1-r)^x, or y=ab^x
where;
y=final sales revenue after the reduction
a=initial sales revenue before the reduction
1-b=reduction factor
x=time interval
In our case;
y=$590,000
a=$780,000
1-r=b=unknown
x=2011-2000=12 years
replacing;
590,000=780,000.b^12
b^11=590,000/780,000=0.756
b=0.756^(1/12)
b=0.977
r=1-0.977=0.023
Determine predicted sales revenue;
y=ab^x
y=sales revenue in 2017
a=sales revenue in 2011=$590,000
b=0.977
x=7 years
replacing;
y=590,000(0.977)^7
y=$501,334.008
The predicted sales revenue for 2017=$501,334.008