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
Out of these four elements, Sovereignty stands accepted as the most important and exclusive element of the State. No other organisation or institution can claim sovereignty. An institution can have population, territory and government but not sovereignty. ... These are also loosely called states.
Considering the amount they raised and the amount they spent, it is found that the art club had $358 after the show.
<h3>How to find the net amount of the art club?</h3>
The net amount is found by the subtraction of the amount raised by the amount spent.
In this problem:
- The amount raised, in dollars, is of 248 + 316 = 564.
- The amount spent is of $206.
Then:
A = 564 - 206 = $358.
The art club had $358 after the show.
More can be learned about net amount had brainly.com/question/12371230
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First, add the two multiples that have an x together. Since the eleven is negative, it will come out to 9x, and that pretty much gives you your answer.
Your answer is -9x + 18
Answer:
201 students play basketball.
Step-by-step explanation:
total students who played sports = 347
58 % played basketball.
That is ,
Since number of students cannot be in decimals we take the nearest whole number = 201.