What is the relationship between decay rate and half-life in the formula discussed?

Understanding Decay Rate and Investment Growth

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
K x T = ln(2)
K / T = ln(2)
K + T = ln(2)
K - T = ln(2)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you find the decay rate if you know the half-life?
Multiply natural log by half-life
Divide natural log by half-life
Add natural log to half-life
Subtract natural log from half-life
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in calculating the half-life of Plutonium 239?
Multiply decay rate by 100
Convert decay rate to decimal
Divide decay rate by 100
Convert decay rate to percentage
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the half-life of Plutonium 239 when the decay rate is 0.0028% per year?
48,510.52 years
36,132.89 years
24,755.26 years
12,377.63 years
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the slow decay rate of Plutonium 239 concerning?
It makes it less effective as a fuel
It remains hazardous for a long time
It decays too quickly to be useful
It is not a concern at all
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula used for calculating present value with continuous compounding interest?
P = P0 / e^(KT)
P = P0 - e^(KT)
P = P0 + e^(KT)
P = P0 x e^(KT)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the interest rate used in the example of continuous compounding?
7%
6%
5%
4%
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