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Use the properties of exponents to rewrite y=e^( -0.25t ) in the form y=a( 1 + r )^t or y=a( 1 - r )^t . Round any decimals to the nearest thousandth.

Respuesta :

amna04352

Answer:

y = (1 - 0.221)^t

Step-by-step explanation:

y=e^( -0.25t )

y = (e^-0.25)^t

y = 0.7788007831^t

1 - 0.7788007831 = 0.2211992169

y = (1 - 0.221)^t

abidemiokin

The expression can also be written as y = (1- 0.2212)^t

Exponential functions

The standard exponential function is expressed as:

y = ab^x or y = a(1±r)^t

Given the exponential function expressed as y=e^( -0.25t ), writing this in standard form is expressed as:

y=e^(-0.25t)

y = 0.7788t

Since 0.7788 = 1 - 0.2212

Hence the expression can also be written as y = (1- 0.2212)^t

Learn more on exponential function here: https://brainly.com/question/12940982


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