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.
24/2=12 so you would do 120/12 and get 10. Your answer is 10 hours.
Answer: $14.85
Step-by-step explanation:
Ww can solve the question using direct proportion with the formula y = kx
where y = annual salary
x = monthly policy cost.
k = constant of proportionality
Since y = kx
38500 = 11.55k
k = 38500 / 11.55
k = $3333.33
When Randy has an annual salary of $49,500, the amount Randy expect to pay for his policy will be:
y = kx
49500 = 3333.33x
x = 49500 / 3333.33
x = 14.85
The amount that Randy expect to pay for his policy will be $14.85