Answer:
24,393 subscribers
Step-by-step explanation:
This is exponential decay problem. The formula for exponential decay is:
[tex]F=P(1-r)^t[/tex]
Where
F is the future value (what we are looking for, in 7 years)
P is the present amount (that is 51,000)
r is the rate of decrease per year (r = 10% = 10/100 = 0.1)
t is the time, in years (t = 7)
Now substituting, we get:
[tex]F=P(1-r)^t\\F=51,000(1-0.1)^7\\F=51,000(0.9)^7\\F=24,393.14[/tex]
Rounding to nearest whole number,
Number of subscribers after 7 years = 24,393 subscribers
