Respuesta :
Answer:
12,880
Step-by-step explanation:
this is exponential decay
a=i(1-r)
it should be 14000
But if you forgot to write a variable on the right side of the equation that that would change things.
The decay rate however would be 8%, since 1-.92 is .8
the new equation would be a=14000(1-0.8)
you can also continue solving for y
y=12,880
when you just multiply
The initial value in y=14000(0.92) is 14000.
Exponential Decay
When the value of something is continuously decreasing such that after a particular time that thing will completely vanish.
For example, the population of tigers is decreasing, etc.
The formula for exponential decay is given as,
[tex]a_n=i(1-r)^n[/tex]
where,
[tex]a_n[/tex] is the amount final value after t years of time,
n is the time period,
r is the rate of decay,
i is the initial value.
Given to us,
y=14000(0.92)
Comparing
Comparing it with the Exponential Decay formula, we get,
[tex]a_n = y[/tex]
i = 14000
r = (1 - 0.92) = 0.08 = 8%
n = 1,
Therefore, the initial value in y=14000(0.92) is 14000.
Learn more about Exponential Decay:
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