Respuesta :

ANSWER

[tex]y=25,000\cdot0.95^t[/tex]

EXPLANATION

Exponential decay is modeled by the equation,

[tex]y=a\cdot(1-r)^t[/tex]

Where a is the initial value, in this case, a = $25,000, and r is the decay - or decrease, rate. In this problem, r = 0.05.

The equation is,

[tex]y=25,000(1-0.05)^t[/tex]

Solve the subtraction to write it in the asked form,

[tex]y=25,000\cdot0.95^t[/tex]