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The exponential function N = 500 × 0.64t, where t is measured in years, shows the amount, in grams, of a certain radioactive substance present. (a) Calculate N(4). (Round your answer to one decimal place.) N(4) =    Explain what your answer means. After   years there are   grams of the radioactive substance present. (b) What is the yearly percentage decay rate? (Round your answer to one decimal place.)   %  (c) What is the monthly decay factor rounded to three decimal places?

- November 14, 2022 - Edwin Tunner

The exponential function N = 500 × 0.64t, where t is measured in years, shows the amount, in grams, of a certain radioactive substance present.

(a) Calculate N(4). (Round your answer to one decimal place.)
N(4) =   

Explain what your answer means.

After   years there are   grams of the radioactive substance present.

(b) What is the yearly percentage decay rate? (Round your answer to one decimal place.)
  % 

(c) What is the monthly decay factor rounded to three decimal places?

What is the monthly percentage decay rate? (Round your answer to one decimal place.)
  % 

(d) What is the percentage decay rate per second? (Note: For this calculation, you will need to use all the decimal places that your calculator can show. Round your answer to eight decimal places.)

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