51200 customers customers decline each year by 3.8% what is the approx # of cust after 14 years
What is
51200(1-.038)^14 ?
3.8 % = 3.8 / 100 = 0.038
1-0.038 = 0.962
51200 * 0.962^14 = 51200 * 0.5813678462292 = 29766.03372693504
approx. 29766
To find the approximate number of customers after 14 years, we can use the formula for exponential decay:
A = P * (1 - r)^t
where:
A is the final amount
P is the initial amount
r is the decay rate
t is the time in years
In this case, the initial amount of customers is 51200, the decay rate is 3.8% (or 0.038 as a decimal), and the time is 14 years.
Plugging in these values into the formula, we get:
A = 51200 * (1 - 0.038)^14
Now, let's calculate the approximate number of customers after 14 years.
A = 51200 * (1 - 0.038)^14
A ≈ 51200 * (0.962)^14
A ≈ 51200 * 0.557032
A ≈ 28539.104
So, the approximate number of customers after 14 years is approximately 28539.104.