Solve this decay problem

asubstanceofsize500decaysat11%peryear?howmuchisleftafter6years

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 =

11% as a decimal is 0.11

We are given the following values:

M0 = 500, d = 0.11, and t = 6

Using our given values, our mass after decay is:

M(t) = 500(1 - 0.11)t

M(t) = 500(0.89)t

The problem asks for M(6)

M(6) = 500(0.89)6

M(6) = 500(0.496981290961)

M(6) = 248.4906454805

Round to nearest tenth:


Rounded to the nearest tenth, our mass is 248.5


Download the mobile appGenerate a practice problemGenerate a quiz

What is the Answer?
Rounded to the nearest tenth, our mass is 248.5
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.
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
Example calculations for the Decay Calculator

Tags:



Add This Calculator To Your Website