Let us solve the inequality first
Dividing through by 2 gives
Grouping like terms gives
This implies that;
This corresponds to option A in words
If we rewrite as
it will correspond to option C in words
Representing on diagram corresponds to option D (See attachment)
All are correct ways to represent the solution except B.
The correct answer is option B
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
9514 1404 393
Answer:
8/7
Step-by-step explanation: