Solve this decay problem
aballofsize100decaysat15%peryear?howmuchisleftafter10years
Population Growth Equation
M0 as our initial mass, d as our decay percent, and t as the units of time.
M(t) = M0(1 - d)t
pct =15% as a decimal is 0.15
We are given the following values:
M0 = 100, d = 0.15, and t = 10
Using our given values, our mass after decay is:
M(t) = 100(1 - 0.15)t
M(t) = 100(0.85)t
The problem asks for M(10)
M(10) = 100(0.85)10
M(10) = 100(0.19687440434072)
M(10) = 19.687440434072
Round to nearest tenth:
Rounded to the nearest tenth, our mass is 19.7
What is the Answer?
Rounded to the nearest tenth, our mass is 19.7
How does the Decay Calculator work?
Free Decay Calculator - Determines decay based on an initial mass and decay percentage and time.
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Decay Calculator?
P(t) = P0(1 + p)t
What 4 concepts are covered in the Decay Calculator?
- decay
- Reduction in size from decomposition
- mass
- a physical quantity of matter in an object. Mass is measured in terms of the weight of a body.
- percentage
- a specified amount in or for every hundred. one part in every hundred.
- time
- a point of time as measured in hours and minutes past midnight or noon
