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In: Math
Chromium-51 has a decay rate of 2.55 per day. The rate of change of an amount...
Chromium-51 has a decay rate of 2.55 per day. The rate of change of an amount N of chromium-51 after t days is given by dN/dt = -0.025N. a. Let N0 represent the amount of chromium-51 present at t = 0. Find an exponential function which models this situation. b. Suppose 20 milligrams of chromium-51 is present at t = 0. How much will remain after 30 days? ____________ c. What is the rate of change of the amount of chromium-51 after 30 days? ____________ d. After how many days will 95% of the chromium-51 have decayed away? ____________
Solutions
milcah answered 2 years agoRelated Solutions
A mammoth skeleton has a carbon-14 decay rate of 0.49 disintegrations per minute per gram of...
A mammoth skeleton has a carbon-14 decay rate of 0.49 disintegrations per minute per gram of carbon (0.49 dis/min gC ). When did the mammoth live? (Assume that living organisms have a carbon-14 decay rate of 15.3 dis/min gC and that carbon-14 has a half-life of 5730 yr)Express your answer using two significant figures.
The radioactive decay of radium 226Ra follows a first-order rate law. This decay process has a...
The radioactive decay of radium
226Ra follows a first-order rate law.
This decay process has a half-life of
1600 years.
(a). What is the
value of the rate constant (expressed in s-1) for this
decay process?
(b). How many
disintegrations per second would occur in a one-gram sample of
226Ra ?
A company has a production at a rate of 200 units per day. 80 units will...
A company has a production at a rate of 200 units per day. 80
units will be sold daily. The production will take place five days
a week, 48 weeks a year. It usually takes a full day to get the
machine ready for another production run, at a cost of $300.
Inventory holding costs will be $10 a year. (calculate to2 decimal
places)
a. What is the optional run size and
lowest annual cost for carrying and setup?
b....
A car rental agency rents 420 cars per day at a rate of $40 per day....
A car rental agency rents 420 cars per day at a rate of $40 per
day. For each $1 increase in rate, 10 fewer cars are rented. At
what rate should the cars be rented to produce the maximum income?
What is the maximum income?
The rental agency will earn a maximum income of $ _____ when it
charges $ _____ per day.
A car rental agency rents 480 cars per day at a rate of $30 per day....
A car rental agency rents 480 cars per day at a rate of $30 per
day. For each $11increase in rate,10 fewer cars are rented. At
what rate should the cars be rented to produce the maximum income?
What is the maximum income?
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally
distributed with a mean of 14 ounces and a standard deviation of 5
ounces. 32 randomly selected people are surveyed. Round all answers
to 4 decimal places where possible.
What is the probability that one randomly selected person
drinks between 13.7 and 14.1 ounces of coffee per day?
For the 32 people, find the probability that the average coffee
consumption is between 13.7 and 14.1 ounces of coffee per...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally
distributed with a mean of 17 ounces and a standard deviation of 7
ounces. 34 randomly selected people are surveyed. Round all answers
to 4 decimal places where possible.
What is the distribution of X? X ~ N(___,___)
What is the distribution of ¯x? ¯x ~ N(___,___)
What is the probability that one randomly selected person
drinks between 16.5 and 17.3 ounces of coffee per day?
For the 34...
The amount of coffee that people drink per day is normally distributed with a mean of...
The amount of coffee that people drink per day is normally
distributed with a mean of 15 ounces and a standard deviation of 7
ounces. 33 randomly selected people are surveyed. Round all answers
to 4 decimal places where possible. What is the distribution of X ?
X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is
the probability that one randomly selected person drinks between
14.6 and 15.5...
Amount of Prepaid Card ($) Age Days per Month at Starbucks Cups of Coffee per Day...
Amount of Prepaid Card ($)
Age
Days per Month at Starbucks
Cups of Coffee per Day
Income ($1,000)
5
25
4
1
20
25
30
12
5
35
10
27
10
4
30
5
42
8
5
30
15
29
11
8
25
50
25
12
5
80
10
50
8
3
30
15
45
6
5
35
15
32
16
7
25
15
23
10
1
20
20
40
18
5
40
35
35
12
3
40
40
28...
For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed...
For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day.A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to five significant digits, write an exponential equation representing this situation. To the nearest minute, what is the half-life of this substance?
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