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lianna [129]
3 years ago
15

An element with mass 310 grams decays by 8.9% per minute. How much of

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

52.7 g

Step-by-step explanation:

We are given;

  • Initial mass of the element is 310 g
  • Rate of decay 8.9% per minute
  • Time for the decay 19 minutes

We are required to determine the amount of the element that will remain after 19 minutes.

We can use the formula;

New mass = Original mass × (1-r)^n

Where n is the time taken and r is the rate of decay.

Therefore;

Remaining mass = 310 g × (1-0.089)^19

                            = 52.748 g

                            = 52.7 g (to the nearest 10th)

Thus, the mass that will remain after 9 minutes will be 52.7 g

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=> sqrt(n) = (0.65*(-1.28)) / (31.23 - 31)

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