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Sagot :
The question is an illustration of equivalent equations
The approximated value of a is 0.94
The given parameters are:
[tex]\mathbf{N(t) = 100(2.72)^{-0.060t}}[/tex]
[tex]\mathbf{N(t) = 100a^t}[/tex]
Equate both expressions to solve for a
[tex]\mathbf{ 100a^t = 100(2.72)^{-0.060t}}[/tex]
Divide both sides by 100
[tex]\mathbf{a^t = (2.72)^{-0.060t}}[/tex]
By comparison
[tex]\mathbf{a = (2.72)^{-0.060}}[/tex]
Using a calculator, we have:
[tex]\mathbf{a = 0.94172882931}[/tex]
Approximate
[tex]\mathbf{a = 0.94}[/tex]
Hence, the approximated value of a is 0.94
Read more about equivalent expressions at:
https://brainly.com/question/24242989
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