Pat's checking account balance was $540.30 at the end of May. She received her paycheck of $900.00 in the first week of June. Wh
2 answers:
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Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:
In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:
Then
So
(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So
The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So
5.34 years for the sample to decay to 85% of its original amount
Answer:
Step-by-step explanation:
See attachment
12. -23C
13. 28.9% Loss
14. Diagram in the attachment. The sides can be calculated with the Pythagorean Theorem. Side = 3.61 cm
15. Use trig relationships. x = 5, y = 8.66
