Answer:
Boris will have $250 in 10 months.
Step-by-step explanation:
$25 = one month.
$250= ?months
To find ?, the months we divide 250 by 25 to get this:
250 ÷ 25 = 10
10 months is the amount of time Boris will have to wait until he saves up $250.
Hope this helps you! Good luck with your quiz! :)
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:

Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:

Solve for A. Simplify:

Simplify:

Thus, the initial mass of the sample was:

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.
Answer:
49.4 miles.
Step-by-step explanation:
3.8 × 13 = 49.4 (miles)
Answer:
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