Using the given exponential function, we have that:
- The initial amount is of 523 grams.
- The amount after 50 years will be of 165 grams.
What is an exponential function?
An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
In this problem, the function is:
[tex]A(t) = 523(0.5)^{\frac{t}{30}}[/tex]
Hence the initial amount is of 523 grams.
The amount after 50 years will be given by:
[tex]A(50) = 523(0.5)^{\frac{50}{30}} = 165[/tex]
The amount after 50 years will be of 165 grams.
More can be learned about exponential functions at https://brainly.com/question/25537936
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