Answer:
N=-13
Step-by-step explanation:
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Answer:
<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:

Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
= The decay constant.
One important parameter related to radioactive decay is the half-life:

If we know the value of the half-life, we can calculate the decay constant:

Carbon-14 has a half-life of 5,730 years, thus:


The equation of the remaining quantity of Carbon-14 is:

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

Simplifying:

Taking logarithms:

Solving for t:


Carbon-14 will take 19,035 years to decay to 10 percent.
To start, let’s put order the amounts of candy in numerical order
2, 4, 5, 7, 8, 11, 11
Now let’s look at the ranges given
0-3, 3-6, 6-9, 9-12
Now let’s sort how many bags are in each range
There’s one bag between 0-3, so raise the first bar to one
There’s 2 bags between 3-6, so raise the second bar to two.
There’s two more bags between 6-9, so raise the third bar to two
Finally, there’s two bags between 9-12, so raise the last bar to two.