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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