When given an algebraic expression involving subtraction, why is it best to rewrite the expression using addition before identif
1 answer:
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Answer: 233 min
Step-by-step explanation:
This problem can be solved by the following equation:
(1)
Where:
is the quantity left after time
is the initial quantity
is the time elapsed
is the constant of decay for the material
So, firstly we need to find the value of from (1) in order to move to the next part of the problem:
(2)
Applying natural logarithm on both sides of the equation:
(3)
(4)
(5)
(6)
(7) Now that we have the value of
we can solve the other part of this problem: Find the time
for
.
In this case we need to isolate from (1):
(8)
(9)
Finally: