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nlexa [21]
3 years ago
15

Radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time

t (in weeks), then dQ dt = −rQ, where r > 0 is the decay rate.
A) If 500 mg of a mystery substance decays to 83.01 mg in 5 weeks, determine the decay rate r.
B) Find an expression for the amount of this substance present at any time t.
C) Find the time required for the substance to decay to one-half its original amount.

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

Step-by-step explanation:

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Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

Then

y = 10^{3.994}

4 0
3 years ago
4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for al
VashaNatasha [74]

Answer:$1000

Step-by-step explanation:

3 0
3 years ago
Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?
Ilia_Sergeevich [38]

Based on the information given Terri's Run Rate is $96,000.

<h3>Run rate</h3>

Using this formula

Run rate=Revenue for the Period × Number of months in a year

Where:

Revenue for the Period =$8,000

Number of months in a year=12 months

Let plug in the formula

Run rate=$8,000×12 months

Run rate=$96,000

Inconclusion Terri's Run Rate is $96,000.

Learn more about run rate here:brainly.com/question/16134508

6 0
3 years ago
2. Starting at noon, the temperature dropped steadily at a rate of 0.3 degrees Celsius
arlik [135]

Answer:

a. -14,2/3

b. -28,3

Step-by-step explanation:

7 0
3 years ago
What is the value of a in a/5 + 3= 8
OLga [1]

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

3 0
2 years ago
Read 2 more answers
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