Cleo bought a computer for
$
1
,
495
. What is it worth after depreciating for
3
years at a rate of
16
%
per year?
Answers
After depreciating for 3 years at a rate of 16% per year, the computer is worth approximately $788.26.
To find the worth of the computer after depreciating for 3 years at a rate of 16% per year, we can use the formula for compound interest with depreciation.
Given:
Initial value (cost of the computer) = $1,495
Depreciation rate = 16% per year
Number of years = 3
1. Convert the depreciation rate to a decimal: 16% = 0.16.
2. Calculate the depreciation factor, which is (1 - depreciation rate):
Depreciation factor = 1 - 0.16 = 0.84.
3. Apply the formula for compound interest with depreciation:
Worth = Initial value * (Depreciation factor)^(Number of years).
Substituting the given values into the formula:
Worth = $1,495 * (0.84)^3.
Calculating the exponent:
Worth = $1,495 * 0.84 * 0.84 * 0.84.
Simplifying the expression:
Worth ≈ $788.26.
Therefore, after depreciating for 3 years at a rate of 16% per year, the computer is worth approximately $788.26.
To know more about depreciation , refer here :
https://brainly.com/question/17827672#
#SPJ11
Related Questions
Your hospital has just reset the safety stock level for sleeping pills to be 220 pills.
If your hospital consumes an average of 1,155 per day with a standard deviation of 81 pills, what is the chance that your hospital will run out of sleeping pills on any day? (Keep four decimal places in your answer, which should be a number not a percentage)
Answers
The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).
To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.
First, let's calculate the Z-score using the formula:
Z = (X - μ) / σ
Where:
X = consumption rate per day (1,155 pills)
μ = average consumption rate per day (1,155 pills)
σ = standard deviation (81 pills)
Z = (1,155 - 1,155) / 81
Z = 0
Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.
We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.
To find the probability of running out of sleeping pills, we subtract this probability from 1:
Probability of running out of sleeping pills = 1 - 0.5000
Probability of running out of sleeping pills = 0.5000
Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.
Learn more about probability on:
https://brainly.com/question/23417919
An astronaut has an annual income of $161,141.00.
The income tax an astronaut must pay is 8%.
What is the amount of income tax in dollars and cents that the
astronaut must pay?
Answers
Coach Sloan is responsible for recruiting male athletes to join the European
Masters track and field team. To improve his recruitment strategies, he wants to
investigate the connection between an athlete's height and 3000-meter run time.
Coach Sloan has recorded the heights of the men on the track and field team (in
centimeters), x, and their best 3000-meter times (in minutes), y.
The least squares regression line of this data set is:
y = -0.081x + 21.412
How quickly does this line predict a man who is 166 centimeters tall would run the 3000-
meters?
Round your answer to the nearest thousandth.
minutes
Answers
Using the line of best fit, it is found that the projected time for a man who is 166 cm tall is of 7.966 minutes.
What does the line of best fit gives?It gives the project time in minutes to run the 3000 meters for a men of a height of x centimeters, according to the following function:
y = -0.081x + 21.412.
Hence, for a men of 166 centimeters, x = 166 and the projected time in minutes is given as follows.
y = -0.081(166) + 21.412 = 7.966.
More can be learned about line of best fit at https://brainly.com/question/17261411
#SPJ1
Help me please !!!!! I need help
Answers
10 percent of 300 is 30
3 hours and 10 minutes =190
Consider the following public good provision game. Players can choose either to contribute (C) or not contribute (NC) to the public good. If someone contributes, both will be able to consume the good, which worths v dollars and is publicly known. The player i's cost to contribute is Cᵢ, which is private information. It is common knowledge that C₁,C₂ are drawn from a uniform distribution with support (Cₗ, Cₕ]. Assume v > Cₕ. C NC
C ᴠ - C₁ . ᴠ - C₂ ᴠ - C₁, ᴠ
(a) Suppose player 2 contributes if C₂ < C*₂, where C*₂ is a cutoff point. What is the expected payoff for player 1 to contribute and not contribute? What would player 1 do when C₁ is low? (b) Suppose player 1 also employ a cutoff strategy. Solve for the cutoff point (C*₁, C*₂). What is the Bayesian Nash equilibrium of the game?
Answers
In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.
How does player 1's expected payoff vary based on player 2's cutoff point (C*₂)?In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.
On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.
To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.
In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.
Learn more about public good provision game
brainly.com/question/32069754
#SPJ11
The coach carried footballs to practice 10 times this year. Each time, he brought:
5 footballs, 4 footballs, 4 footballs, 6 footballs, 4 footballs, 7 footballs, 5 footballs, 7 footballs, 2 footballs, 6 footballs
What was the mean number of footballs?
Answers
The coach brought a mean (average) of 5 footballs.
What does the math mean?The sum of all values divided by the total number of values yields the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this central tendency measurement.
We must tally up all of the footballs the coach brought and divide that amount by the number of times he brought them in order to determine the mean (average) number of footballs:
Total number of footballs = 5 + 4 + 4 + 6 + 4 + 7 + 5 + 7 + 2 + 6
Total number of footballs = 50
Number of times the coach brought footballs = 10
Mean number of footballs = Total number of footballs / Number of times the coach brought footballs
Mean number of footballs = 50 / 10
Mean number of footballs = 5
To know more about mean visit:-
https://brainly.com/question/14882017
#SPJ1
How do I calculate the length of missing side on a diagram question 8, first diagram
Answers
Solution
- In order to find the length of the unknown sides, we simply need to look at the single and double strokes crossing the sides of the diagram.
- The sides with the same number of strokes have the same lengths.
- This implies that
if an applicant has a 60 percent chance of getting a certain job, then what is the probability that this applicant will not get this job?
Answers
The probability that this applicant will not get the job is 0.40 or 40%.
If an applicant has a 60% chance of getting a certain job, then the probability of not getting the job can be calculated by subtracting the probability of getting the job from 1.
Probability of not getting the job = 1 - Probability of getting the job
Given that the applicant has a 60% chance of getting the job, the probability of getting the job is 0.60.
Therefore, the probability of not getting the job is:
Probability of not getting the job = 1 - 0.60 = 0.40
So, the probability that this applicant will not get the job is 0.40 or 40%.
This means that there is a 40% chance that the applicant will not be selected for the job based on the given information.
It is important to note that this probability assumes that the chance of getting the job and not getting the job are the only possible outcomes and that they are mutually exclusive (i.e., the applicant either gets the job or does not get the job).
For similar question on probability.
https://brainly.com/question/25870256
#SPJ8
The table below shows a proportional relationship. True or False?
Answers
According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.
Second, the rule is different for each row.
2x5=10
4x4=16
6x3.6=22
A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.
Find common ratio
0+4(1)=42+4(2)=104+4(3)=166+4(4)=22Yes they are proportional
Simplify the expression show work
-3(4a-5b)
Answers
Answer:
\( - 3(4a - 5b) \\ - 12a - 15b \: \: answer\)
Step-by-step explanation:
please mark me brainliest
Michele's credit card had a balance of $579. 53 on August 1. On August 8, she made a payment of $500. On August 16, she made a charge of $200. On August 24, she made another charge of $350. What was her average daily balance?
Answers
By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08
What was her average daily balance?
We know that:
On August 1, her balance was $579.53On August 8, her balance was $579.53 - $500 = $79.53On August 16, her balance was $79.53 + $200 = $279.53On August 24, her balance was $279.53 + $300 = $579.53So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.
Then over the 31 days of August, the average daily balance will be:
\(A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08\)
So in August, her average daily balance was $373.08
If you want to learn more about averages, you can read:
https://brainly.com/question/20118982
Can someone please help with this
Answers
Answer:
a=57 degree
b = 24 degree
c = 39 degree
d = 60 degree
Step-by-step explanation:
angle a = YWX = YZX = 57
angle b = ZWY = ZXY = 24
angle c = WYX = WZX = 39
angle d = WYZ = WXZ = 60
this is freckle math can someone help
Answers
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
The rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat is \[ \frac{d p}{d t}=-46.645 e^{-0.491 t} \] where \( t \) is the time in seconds. (a) What function descri
Answers
The given equation for the rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat is: dp/dt=-46.645e^{-0.491t}
We need to integrate this expression with respect to t to find the function that describes the pressure in the aorta. Here's how we can do this:
dp/dt=-46.645e^{-0.491t}
Rearranging the terms: {dp}/{e^{-0.491t}=-46.645dt
Integrating both sides with respect to t:dp/{e^{-0.491t}=-\int46.645dt
p=-\frac{46.645}{-0.491}e^{-0.491t}+C
p=95.001e^{-0.491t}+C
Therefore, the function that describes the pressure in the aorta is:
p=95.001e^{-0.491t}+C Where C is the constant of integration.
Learn more about Integration:
brainly.com/question/30094386
#SPJ11
how many litres of milk can be put in six hemispherical bowl each of diameter 35cm
Answers
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (\(V\)), measured in cubic centimetres, is obtained from this formula:
\(V = \frac{2\pi}{3}\cdot R^{3}\)
Where \(R\) is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (\(D\)), measured in centimetres, then:
\(R = 0.5\cdot D\)
(\(D = 35\,cm\))
\(R = 0.5\cdot (35\,cm)\)
\(R = 17.5\,cm\)
Now, we get the volume of each hemispherical bowl:
\(V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}\)
\(V \approx 11224.649\,cm^{3}\)
The total volume of six hemispherical bowl is:
\(V_{T} = 6\cdot V\)
\(V_{T}= 6\cdot (11224.649\,cm^{3})\)
\(V_{T} = 67347.894\,cm^{3}\)
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
\(V_{T} = 67.348\,L\)
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Suppose the manufacturer multiplied each side of the
original box by 4. What would the new surface area be?
Answers
Answer:
original box wasn't given... atleast send original surface area..
Step-by-step explanation:
^^^^^^!!!!!!!!!!^^^^^^
Please Help
Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)
(There is no equal sign in the math problem)
Answers
Hi there can you please help
Answers
2nd one is also -64
3rd one is just 64
A line passes through the point (-2,-3) and has a slope of 6
Answers
Answer:
\(y = 6x + 9\)
Step-by-step explanation:
\( - 3 = 6( - 2) + b\)
\( - 3 = - 12 + b\)
\(b = 9\)
\(y = 6x + 9\)
Calculate the standard score of the given X value, X ,. 36.5, where 36.7 and ?-32.5. Round your answer to two decimal places.
Answers
The standard score of the given X value is -0.00
Now, let's calculate the standard score (z-score) of the given X value, X = 36.5, where μ = 36.7 and σ = 32.5.
The formula for calculating the standard score is:
z = (X - μ) / σ
where z is the standard score, X is the score you want to calculate the standard score for, μ is the mean of the dataset, and σ is the standard deviation of the dataset.
So, plugging in the values we have:
z = (36.5 - 36.7) / 32.5
z = -0.02 / 32.5
z = -0.000615
Rounding this answer to two decimal places, we get:
z = -0.00
Therefore, the standard score of the X value 36.5, given the mean μ = 36.7 and standard deviation σ = 32.5, is -0.00. This indicates that the score of 36.5 is very close to the mean score of the dataset, which is not surprising given that the standard deviation is quite large at 32.5.
To know more about score here.
https://brainly.com/question/24210074
#SPJ4
Complete Question:
Calculate the standard score of the given X value, X = 36.5, where μ = 36.7 and σ= 32.5. Round your answer to two decimal places.
(12 - 5)2 + (83 - 9x6)
Answers
Answer:
78
Step-by-step explanation:
Solve by PEMDAS.
Parentheses first.
12-5 is 7 and 9x6 is 54, 83-54 is 29.
(7)^2+(29)
Exponent next,
49+29
add them up and you get 78.
Hope this helps! Hit the crown if you want.
#Team Rainbows!
Answer:
\(78\)
Step-by-step explanation:
\((12-5)^2+(83-9*6)\)
Follow the PEMDAS order of operations
Calculate within parentheses \((12-5)\)
\(12-5\)
\(12-5=7\)
\(=7\)
\(=7^2+(83-9*6)\)
Calculate within parentheses \((83-9*6)\)
Multiply and divide (left to right)
\(9*6\)
\(9*6=54\)
\(=54\)
Add and subtract (left to right)
\(83-54\)
\(83-54=29\)
\(=29\)
\(=7^2+29\)
Calculate exponents \(7^2\)
\(7^2\)
\(7^2=49\)
\(=49\)
\(=49+29\)
Add and subtract (left to right) \(49+29\)
\(49+29\)
\(49+29=78\)
\(=78\)
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
Answers
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
Know more about standard scores here:
https://brainly.com/question/13579780
#SPJ4
Suvam fixed the price of a watch as Rs. 1200 and he sold it allowing a discoiunt of 15% and made a profit of Rs. 120. What was the cost price of the watch? Find it.
Answers
1200-180= 1020
to find the cost price use the discounted price and take it away from the original, then use the profit take away the discounted price.
1020-120=900
the cost price of the watch is Rs. 900
A new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are (10, 8. 5), (10, 1. 5), (3 ,1. 5 ), and (3, 8. 5). How long is each side of the patio?.
Answers
As per the given coordinates, the length of each side is 7
The term coordinate in math refers the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.
Here we have given that the new patio is in the shape of a square. On a scale drawing, the vertices of the patio's coordinates are (10, 8. 5), (10, 1. 5), (3 ,1. 5 ), and (3, 8. 5).
And we need to find the length of each side of the patio.
While we have given the following points in the given question
=> (10, 8. 5), (10, 1. 5), (3 ,1. 5 ), and (3, 8. 5).
And then we have to plot these values on the graph.
For that we have to label the graph first and then we have to point put the coordinates on the graph.
=> After pointing the values, we have to label the graph with the corresponding coordinates.
Therefore, the resulting graph is look like the following one.
While we looking into the resulting graph, we get the length as 7.
To know more about coordinate here
https://brainly.com/question/27749090
#SPJ4
There are 18 students on the math team of these 5 are boys give the ratio of boys to girls on the math team in simplest form
Answers
Answer:
The answer is 5/13 or 5:13
Step-by-step explanation:
There are 18 students in total. And among them there are 5 boys. You would do
18-5=13
5 boys
13 girls
Mark Brainliest Please :)
Step-by-step explanation:
First subtract the number of students(18) to the number of boys(5) 18-5=13Then you can your answer in a ratio form of boy to girls the number of 5:13Sorry if its incorrect
A piece of equipment has two components, A and B. The equipment will fail if either component A or B fails. If the system Has a probability of failure =.003, and A has a reliability of 998 , what is the reliability of B ?
Answers
The reliability of component B in the equipment system can be calculated based on the given information that the probability of system failure is 0.003 and component A has a reliability of 0.998.
The reliability of a system is the probability that it will function without failure over a specified period. In this case, the system will fail if either component A or B fails. Let's denote the reliability of component B as R(B). The probability of system failure is equal to the complement of the reliability, so we have:
Probability of failure = 1 - R(B) = 0.003.Given that the reliability of component A is 0.998, we know that the system will only fail if both components A and B fail simultaneously. Since the system failure probability is very low (0.003), we can assume that the probability of both components failing together is negligible.
Probability of failure = Probability of failure of A * Probability of failure of B. Since the probability of failure of A is negligible compared to the system failure probability, we can simplify the equation as: 1 - R(B) ≈ 0.003. Solving for R(B), we find: R(B) ≈ 1 - 0.003 = 0.997
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet?
Answers
Answer: 1,176 miles
Step-by-step explanation:
490 / 5 = 98 miles
98 mph X 12 hours is 1,176
Which expression is equivalent to Cosine (StartFraction pi Over 2 EndFraction r) for all values of r?.
Answers
The expression that is equivalent to \(Cos(\frac{\pi }{2}+r )\) is \(-Sinr\).
Given trigonometric expression is:
\(Cos(\frac{\pi }{2}+r )\)
What is the value of \(Cos(\frac{\pi }{2}+\theta )\)?The value of \(Cos(\frac{\pi }{2}+\theta )\) is \(-Sin\theta\) because \(\frac{\pi }{2} +\theta\) lies in the second quadrant and the cosine function is negative in the second quadrant.
So, \(Cos(\frac{\pi }{2}+r )= -Sin r\)
The range of sine and cosine functions is the same i.e. [-1,1].
Both the functions are periodic functions with periods 2π.
Hence, the expression that is equivalent to \(Cos(\frac{\pi }{2}+r )\) is \(-Sinr\).
To get more about trigonometric functions visit:
https://brainly.com/question/2193113
Find the Area of the Triangle. A = 1/2 (b x h)
Answers
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
30 um²
Step-by-step explanation:
BC = √5² - 4²
= √25 - 16
= √9
= 3 um
AC = 12 + 3 = 15 um
A = AC×BD/2
= 15×4/2
= 15×2
= 30 um²
It is the morning of the community-wide yard sale that Joe has been anticipating. According to The Weather Channel there is a 10% probability of snow in his area today. Which of the following best describes the most likely way the probability was determined?
Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today.
It snows 10% of the time on this date each year.
Historically, in the United States, it has snowed 10% of the time on days with similar meteorological conditions as today.
Historically, it snows 10% of the days during this month.
Answers
Answer:
The answer is A.
Step-by-step explanation:
Lets prove the other ones wrong.
B) It is not based on a day to day prediction, rather days with simmilar conditions before the storm.
C) The United states is too broad an area.
D) It is not based on the ammount of days it snows per month, because on say December 15 it could be 60 degrees and on December 25 it could be 2 degrees. Also you could not make any predictions on a per-day basis then.
So the only clear answer is "Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today."