Answer:

Step-by-step explanation:
We will use the standard formula for half-life:

Where A₀ is the initial amount, a is the half-life, d is the time for one half-life, and t is the number of days.
So, we will substitute 1/2 for a and 24.3 for d. This yields:

We have a 3 gram sample. Therefore, our initial amount A₀ is 3:

And we want to find the remaining sample after 10 days. So, t=10. Substitute:

Use a calculator. So:

Therefore, for a 3 gram sample of Phosphorous-32 with a half-life of 24.3 days, after 10 days, there will be approximately 2.255 grams remaining.
Answer:
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Multiply all terms by 2 to get rid of fractions
2x+10=28-x
Add x to both sides
3x+10=28
Subtract 10 from both sides
3x=18
Divide both sides by 3
x=6
Final answer: x=6
7 * 6 * 5 * 4 * 3 * 2 * 1
Which will give us 5040.