Assuming that the size of the stack is constant, we would need to know the number of cans that can be stacked in order . Since the number of cans is evenly divisible by the number of cans per stack, there would be zero cans left over from the stack.
Assuming that the size of the stack is constant, we would need to know the number of cans that can be stacked in order to determine the answer. However, let's assume that a single stack can hold 10 cans. If Selene has 90 cans, then we can divide the total number of cans by the number of cans per stack to determine how many stacks are needed.
90 cans / 10 cans per stack = 9 stacks
Therefore, Selene would need 9 stacks to hold all 90 cans. However, there would be some cans left over from the last stack.
9 stacks x 10 cans per stack = 90 cans
90 cans - 90 cans = 0 cans
Since the number of cans is evenly divisible by the number of cans per stack, there would be zero cans left over from the stack.
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If the coach bases her decision on the player who is most consistent, whom should she choose? Justify your answer using measures of variability.
Answer:
Variance is a measure of variability which describes the average degree of spread in the data about the mean.
Step-by-step explanation:
What equation is equivalent to 3x - 12 = -9
The equation which is equivalent to 3x - 12 = -9 is 3(x - 4) { -9
What equation is equivalent?3x - 12 = -9
The equation is divided into two parts; right part and left part
From the left part; find the common factor of 3x and 12 which is 3
So,
3(x - 4) = -9
3x - 12 = -9
Add 12 to both sides
3x = -9 + 12
3x = 3
divide both sides by 3
x = 3/3
x = 1
Hence, the value of x based on the given equation is 2
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A person with two kids and no dependent relative earns 180,000 naira per month before tax. Calculate the tax allowance
The tax allowance for a person with two kids and no dependent relative earning 180,000 naira per month before tax is 34,375 naira.
The tax allowance is calculated by first determining the individual's annual income before tax, which in this case is 2,160,000 naira (180,000 x 12 months). Next, the individual's personal allowance of 1,500,000 naira is subtracted from their annual income.
The resulting figure is 660,000 naira, which is then multiplied by 5% to give a tax allowance of 33,000 naira. An additional 375 naira is added to this figure for each child, resulting in a total tax allowance of 34,375 naira for an individual with two kids and no dependent relative earning 180,000 naira per month before tax. This tax allowance reduces the individual's taxable income, thereby reducing the amount of tax they would be required to pay.
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Nurse Sanders examines immunization records for this past winter at the school where she works How many students were vaccinated but got the flu anyway
The proportion of students that choose nachos is given as follows:
0.3333.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The proportion of students choosing nachos is the probability that a single student choose nachos.
Out of 33 students, 11 choose nachos, hence the proportion is given as follows:
11/33 = 1/3 = 0.3333.
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the factory will not ship a box of 16 if the average weight of the baseballs in the box exceeds 147 grams. what is the probability that a pack of 16 baseballs would have an average weight of more than 147 grams?
The probability that a pack of 16 baseballs would have an average weight of more than 147 grams, given our assumptions, is approximately 1 - 0.0082 = 0.9918, or 99.18%.
What is probability?
Probability is a way to gauge how likely or unlikely something is to happen. It measures the degree of ambiguity surrounding the result of a single event or a series of related occurrences. Typically, probability is stated as a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certain or guaranteed event.
To determine the probability that a pack of 16 baseballs would have an average weight of more than 147 grams, we need information about the distribution of baseball weights. Without specific information about the distribution, it is challenging to provide an exact probability.
However, assuming the weights of baseballs follow a normal distribution with a known mean and standard deviation, we can provide a general guideline for calculating the probability using the Central Limit Theorem.
Let's assume the mean weight of a baseball is μ grams, and the standard deviation is σ grams. Since we don't have the exact values, we'll need to make some assumptions. Let's say the mean weight of a baseball is 150 grams, and the standard deviation is 5 grams.
The average weight of the 16 baseballs follows a normal distribution with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (σ/[tex]\sqrt[1]{n}[/tex]).
In this case, the mean is 150 grams, and the standard deviation is 5 grams divided by the square root of 16 (since we have 16 baseballs). The square root of 16 is 4.
The standard deviation of the average weight is 5 grams / 4 = 1.25 grams.
Now, we want to calculate the probability that the average weight is more than 147 grams. To do this, we can convert it into a standard normal distribution by subtracting the mean (150 grams) and dividing by the standard deviation (1.25 grams).
The z-score for 147 grams is (147 - 150) / 1.25 = -2.4.
Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of -2.4. Let's assume it is P(Z < -2.4) = 0.0082.
However, since we are interested in the probability that the average weight is more than 147 grams, we need to consider the area to the right of the z-score (-2.4). This is equal to 1 - P(Z < -2.4).
Therefore, the probability that a pack of 16 baseballs would have an average weight of more than 147 grams, given our assumptions, is approximately 1 - 0.0082 = 0.9918, or 99.18%.
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PLS HELP IF CORRECT BRAINLIEST -3=-11+√2y
Answer:
y= 32
Step-by-step explanation:
Answer:
The answer for y is 32
Step-by-step explanation:
-3=-11+√2y
-3+11=√2y
8=√2y
square both sides
8²=√2y²
64=2y
divide both sides by 2
2y/2=64/2
y=32
A bag is filled with 100 colored cubes, some red and the rest blue. A cube is randomly selected from the bag and put back into the bag before selecting again. After 40 trials, a red cube has been selected 16 times. Based on the results of the 40 trials, estimate the probability of randomly choosing a red cube from the bag. Express the probability as a fraction in it's simplified form
Based on the results of the 40 trials, the estimated probability of randomly choosing a red cube from the bag is 2/5 in its simplified form.
To arrive at this answer, we can use the formula for probability: Probability of an event = Number of favorable outcomes / Total number of outcomes. In this case, the favorable outcome is selecting a red cube, and the total number of outcomes is 40 (since a cube is selected and put back in the bag before each trial). We know that a red cube was selected 16 times out of 40 trials, so the number of favorable outcomes is 16. Thus, the probability of selecting a red cube is 16/40, which simplifies to 2/5. Therefore, based on the results of the 40 trials, the estimated probability of randomly choosing a red cube from the bag is 2/5.
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Graph the line −2x + 3y = 12
a student council consists of three freshmen, four sophomores, four juniors and five seniors. a committee of five members of the council is randomly chosen. how many possible committees contain at least one member of each class? [
Possible committees contain at least one member of each class is 5235.
Number of freshman = 3
Number of sophomores = 4
Number of juniors = 4
Number of seniors = 5
Total = 3 + 4+ 4 + 5 = 16
Number of committees of five members of the council would contain at least one member of each class is given by = total - Number of possibility without freshmen - Number of possibility without sophomores - Number of possibility without juniors - Number of possibility without seniors
= [tex](\left \116 \atop 5\right. ) - (\left \413 \atop 5\right. ) -(\left \112 \atop 5\right. )-(\left \112 \atop 5\right. )-(\left \111 \atop 5\right. )[/tex]
= 8568 - 1287 - 792 - 792 - 462
= 5235
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find the x and y. pls help
The value of x and y are 10 and 10√3
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
Here the hypotenuse is 20 and the opposite to angle 30 is x and the adjacent is y
Therefore;
sin30 = x/20
1/2 = x/20
2x = 20
x = 20/2 = 10
cos 30 = y/20
√3/2 = y/20
2y = 20√3
y = 20√3/2
y = 10√3
therefore the value of x and y are 10 and 10√3
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Which of the following are proper units of mass in the Metric System? Check
all that apply.
A. liter
B. gram
C. milligram
D. pound
Answer:
Here are the correct answers:
B. gram
C. milligram
Please help I don’t know how to solve this.
Answer:
x = 40------------------
The angle formed by two secants is half the difference of the intercepted arc measures:
m∠T = (1/2)(mPQ - mSR)Substitute values and solve for x:
x/2 = (1/2)(x + 70 - x - 30)x/2 = (1/2)(40)x = 40What percent of 25.is 12
Answer:
48%
Step-by-step explanation:
Let x equal the percent
25x = 12
25x/25 = 12/25
x =0.48
0.48 = 48%
11. Assume that segments that appear to be tangent are tangent. Find the value
of x.
8.4
5.6
6.3
O 11.2
O 14
The length of the tangent x is 11.2 units.
Given is circle with radius 8.4 units and a tangent with x units, we need to find the length of the tangent,
Since we know that the tangents are perpendicular to the circle, so to find the length,
Using Pythagoras theorem,
Hypotenuse is 5.6+8.4 = 14 units,
So,
14² = 8.4² + x²
x = √196 - 70.56
x = 11.2
Hence the length of the tangent x is 11.2 units.
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Find the last digit of the product when you multiply all the odd numbers from 1 to 2023, inclusive. HELP PLEASE
Answer: 5
Step-by-step explanation:
You could multiply every number but that would take too much time
Instead you have to logic through the problem
Numbers in multiplication follow cyclical sets. i.e. the ones place in the multiples of 3 goes 3,6,9,2,5,8,1,4,7,0,3 forever. (That is why 3 is a "mod 10" number there are 10 possible 1s place values)
The helpful number here is 5
5 is mod 2 because any multiple ends in a 5 or a 0. Given that you are doing all of the odd numbers, five times any odd number will end in a 5, and any odd number ending in 5 times another odd number will also end in 5 so the ones place for all odd numbers multiplied from 1 to 2023 is 5.
When multiplying all the odd numbers from 1 to 2023, inclusive, the last digit of the product will be 5. This is based on the pattern observed in the last digits of the products of odd numbers.
Explanation:In mathematics, specifically in number theory, we often make use of patterns to solve problems. When you're asked to find the last digit of the product when you multiply all the odd numbers from 1 to 2023, inclusive, it is helpful to look for a pattern in the last digits of the products of odd numbers.
Let's start small. The first five odd numbers are 1, 3, 5, 7, and 9. The product of these numbers is 945, and the last digit, or unit digit, is 5. Let's add another odd number to the product, 11. The product becomes 10395, and again, the unit's digit is 5. As you can see, the pattern is that no matter how many odd numbers you multiply together, the unit's digit (or the last digit) of the product is always 5.
Therefore, when you multiply all the odd numbers from 1 to 2023, inclusive, the last digit of the product will be 5.
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ANSWER BY THE CHOICE IN THE BOTTOM NOT BY WHAT YOU WANT please answer correctly an quick
The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 2, 5
3 1, 3, 4
4 1, 1, 5
5 0, 6
6 7
Key: 3|1 means 3.1
What is the mean, and what does it tell you in terms of the problem?
3.1 feet; The value means the furthest the ball went.
3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
4.1 feet; The value means this measurement had the most occurrences.
4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.
The mean distance thrown is approximately 37.31 feet. the Average distance thrown by the heavy ball.
To find the mean of the distances thrown from the stem-and-leaf plot, we need to add up all the distances and divide by the total number of throws.
From the stem-and-leaf plot, we can see that there are 13 throws in total.
To add up the distances, we can use the key to interpret the plot: for example, the number "31" means that one throw went 3.1 feet. Using this method, we can find the following distances:
20, 22, 25, 31, 33, 34, 41, 41, 45, 50, 56, 67, 71
Adding up these distances, we get a total of 485.
To find the mean, we divide by the total number of throws:
mean = 485/13 ≈ 37.31
Therefore, the mean distance thrown is approximately 37.31 feet. the average distance thrown by the heavy ball.
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PLS HELP IF CORRECT BRAINLIEST -3=-11=√2y
Consider line segment AC, such that A (-5, 4) and C (4, -5). Find the coordinates of the point B that partitions the segment such that AB:BC is 1:2.
Answer: Therefore, the coordinates of point B that partitions the segment AC such that AB:BC is 1:2 are (1.17, -2.17).
Step-by-step explanation:
Let's first find the coordinates of the midpoint of AC, which will be the coordinates of point B if AB:BC is 1:2.
The x-coordinate of the midpoint = (x-coordinate of A + x-coordinate of C) / 2 = (-5 + 4) / 2 = -0.5
The y-coordinate of the midpoint = (y-coordinate of A + y-coordinate of C) / 2 = (4 - 5) / 2 = -0.5
So the midpoint of AC is B(-0.5, -0.5).
Now we can find the coordinates of A by using the midpoint formula:
The x-coordinate of A = (2 * x-coordinate of B + x-coordinate of C) / 3 = (2 * (-0.5) + 4) / 3 = 1.17
The y-coordinate of A = (2 * y-coordinate of B + y-coordinate of C) / 3 = (2 * (-0.5) - 5) / 3 = -2.17
So the coordinates of point A are (1.17, -2.17).
Therefore, the coordinates of point B that partitions the segment AC such that AB:BC is 1:2 are (1.17, -2.17).
what is the correct leaf unit if the 1st observation in a dataset was 0.014, assume values rounded to 3rd decimal?
Answer:
4
Step-by-step explanation:
You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.
Leaf unitThe leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.
The least significant digit of 0.014 is 4. The leaf unit is 4.
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jack thought of a number. He multiplied his number by 3, subtracted by 4, divided the result by 5, and got 30. What was jacks initial number?
Answer: 50 1/3
Step-by-step explanation: (30 X 5 +4) divided by 3 = 50 1/3
suppose that a random sample of size 49 is to be selected from a population with mean 43 and standarddeviation 9. what is the approximate probability that x will be within .5 of the population mean?
The approximate probability that "x" will be within 0.5 of population mean is (c) 0.3026.
We use "Central-limit-theorem" to find probability that "x" will be within 0.5 of population mean. According to the central limit theorem, the distribution of sample means approaches a "Normal-Distribution" with mean μ and standard deviation σ/√(n), where μ = population mean, σ = population standard deviation, and n = sample size,
In this case, we have, sample-size of (n) = 49, population mean (μ) = 43, and population "standard-deviation" of (σ) = 9.
So, standard-deviation of sample mean distribution is:
standard deviation = σ/√(n) = 9/√(49) = 1.2857,
To find the probability that x will be within 0.5 of the population mean, we need to standardize the interval using the standard deviation of the sample mean distribution,
z = (x - μ)/(σ/√n) = (43 + 0.5 - 43)/(1.2857) = 0.3892,
The probability that "x" will be within 0.5 of the population mean is the area under the standard normal distribution curve between z = -0.3892 and z = 0.3892.
P(-0.3892 < Z < 0.3892) = P(Z < 0.3892) - P(Z < -0.3892)
= 0.6513 - 0.3487
= 0.3026
Therefore, the correct option is (c).
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The given question is incomplete, the complete question is
Suppose that a random sample of size 49 is to be selected from a population with mean 43 and standard-deviation 9. What is the approximate probability that "x" will be within 0.5 of the population mean?
(a) 0.5026
(b) 0.6974
(c) 0.3026
(d) 0.6053
After heating up in a teapot, a cup of hot water is poured at a temperature of 203∘ F. The cup sits to cool in a room at a temperature of 69∘F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T=Ta+(T0-Ta)e^-kt
Ta = the temperature surrounding the object
T0 = the initial temperature of the object
t= the time in minutes
T= the temperature of the object after t minutes
k= decay constant
The cup of water reaches the temperature of 185∘F after 1.5 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4.5 minutes.
Enter only the final temperature into the input box.
The Fahrenheit temperature of the cup of water, after 4.5 minutes, is given as follows:
155ºF.
How to obtain the temperature?The temperature function is defined as follows:
[tex]T(t) = T_a + (T_0 - T_a)e^{-kt}[/tex]
Considering the surrounding and initial temperature, we have that the function is given as follows:
[tex]T(t) = 69 + 135e^{-kt}[/tex]
The temperature after 1.5 minutes is of 185ºF, hence the coefficient k is obtained as follows:
[tex]185 = 69 + 135e^{-1.5k}[/tex]
[tex]e^{-1.5k} = \frac{116}{135}[/tex]
[tex]k = -\frac{\ln{\left(\frac{116}{135}\right)}}{1.5}[/tex]
k = 0.1011.
Hence:
[tex]T(t) = 69 + 135e^{-0.1011t}[/tex]
Hence the temperature after 4.5 minutes is given as follows:
[tex]T(4.5) = 69 + 135e^{-0.1011 \times 4.5}[/tex]
T(4.5) = 155ºF.
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A car manufacturer can produce 1400 cars in a week how many days will it take to produce 800 cars
Answer:
4 days
Step-by-step explanation:
first, figure out how many cars are produced in a day. since there are 7 days in a week, and 1400 cars are produced in a week, divide 1400 by 7. 1400/7 equals 200. so, if 200 cars produced each day, then:
200x= 800 (x = days)
200x/200 = 800/200
So, 4 days.
If the volume of the the sphere is 20 cubic inches, what are the volumes of the cylinder and the cone?
The volume of the cylinder is 29.78 inches cube.
The volume of the cone is 9.93 inches cube.
How to find the volume of a cylinder and cone?The figure above is a sphere, cylinder and a cone. The volume of the figure can be represented as follows:
volume of a sphere = 4 / 3πr³
where
r = radius20 = 4 / 3 × π × r³
cross multiply
4r³π = 60
r³π = 15
r = ∛15 / π
r = ∛4.78
r = 1.68 inches
volume of a cylinder = πr²h
where
h = height of the cylinderr = radiusvolume of a cone = 1 / 3 πr²h
where
r = radiush = height of the coneTherefore, let's find the volume of the cylinder and cone with the following information.
Hence,
volume of the cylinder = π × (r)² × 2r
volume of the cylinder = 2(1.68)³π
volume of the cylinder = 29.78 inches cube
Therefore,
volume of the cone = 1 / 3 πr²h
volume of the cone = 1 / 3 × 3.14 × r² × 2r
volume of the cone = 1 / 3 × 3.14 × 2(1.68)³
volume of the cone = 29.77744896 / 3
volume of the cone = 9.93 inches cube
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Joseph interviewed three people randomly for a place in his band. He wants a vocalist and a guitarist. Their interview results are shown Morgan is focusing on his album and is not a guitarist. Angela has never sung and all we know about Gina is that she is younger than Morgan Consider the frequency table shown below and find the probability of events given in the first column.
The asked probabilities are 1/3, 6/7 and 50/71.
Given that are events we need to find the required probability,
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability (Event) = Favorable Outcomes/Total Outcomes = x/n
There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
The probability is classified into theoretical probability and experimental probability.
so,
Probability = favorable outcomes / total outcomes
1) P(Morgan is a vocalist) = 9/27 = 1/3
2) P(Angela is not a guitarist) = 18/21 = 6/7
3) P(Gina is a vocalist) = 50/71
Hence the probabilities are 1/3, 6/7 and 50/71.
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Help is very much appreciated
Check the picture below.
The equation for a hyperbola is shown
x^2/25 - y^2/49=1
what are the lengths of the transverse and conjugate axes?
We need to look at the coefficients of the x and y terms in the equation. The lengths of the transverse and conjugate axes are 10 and 14, respectively.
The standard form of the equation for a hyperbola with a horizontal transverse axis is (x-h)^2/a^2 - (y-k)^2/b^2 = 1, where (h,k) is the center of the hyperbola. In this case, the equation given is already in standard form with (h,k) = (0,0).
Comparing the given equation to the standard form, we see that a^2 = 25 and b^2 = 49. Therefore, a = 5 and b = 7.
The transverse axis is the longer axis and is parallel to the x-axis, so its length is 2a = 10. The conjugate axis is the shorter axis and is perpendicular to the transverse axis, so its length is 2b = 14.
Therefore, the lengths of the transverse and conjugate axes are 10 and 14, respectively.
The equation of the hyperbola you provided is x^2/25 - y^2/49 = 1. In this equation, we can identify the terms a^2 and b^2:
a^2 = 25
b^2 = 49
To find the lengths of the transverse and conjugate axes, we need to first find the values of a and b:
a = √25 = 5
b = √49 = 7
The length of the transverse axis is 2a, and the length of the conjugate axis is 2b. Therefore:
Length of transverse axis = 2a = 2(5) = 10
Length of conjugate axis = 2b = 2(7) = 14
So, the lengths of the transverse and conjugate axes are 10 and 14, respectively.
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a college statistics professor has office hours from 9:00 a.m. to 10:30 a.m. daily. a random sample 20 students waiting has a mean of 22.3 minutes. assuming find the 95.44% confidence interval for the population mean.
The 95.44% confidence interval for the population mean is approximately (19.87 minutes, 24.73 minutes).
To calculate the 95.44% confidence interval for the population mean, we can use the following formula:
Confidence Interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))
First, let's determine the critical value. Since the confidence level is 95.44%, we need to find the z-score that corresponds to a tail probability of (1 - 0.9544)/2 = 0.0228. Looking up this value in the standard normal distribution table or using a statistical calculator, we find that the z-score is approximately 2.17.
Next, we need to determine the standard deviation of the population. Since we don't have that information, we'll use the sample standard deviation as an estimate. Let's assume the sample standard deviation is 5 minutes.
Now we can calculate the confidence interval:
Confidence Interval = 22.3 ± (2.17) * (5 / sqrt(20))
Calculating the expression inside the parentheses:
= 22.3 ± (2.17) * (5 / sqrt(20))
= 22.3 ± 2.17 * (5 / 4.472)
= 22.3 ± 2.17 * 1.118
Calculating the confidence interval:
Lower Limit = 22.3 - (2.17 * 1.118)
Upper Limit = 22.3 + (2.17 * 1.118)
Lower Limit = 22.3 - 2.42706 ≈ 19.87294
Upper Limit = 22.3 + 2.42706 ≈ 24.72706
Therefore, the 95.44% confidence interval for the population mean is approximately (19.87 minutes, 24.73 minutes).
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Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $9,000, annual interest: 9%, interest periods: 12, number of years: 20
After 20 years, the investment compounded periodically will be worth:
(Round to two decimal places as needed.)
more than the investment compounded annually.
After 20 years, the investment compounded periodically will be worth $ 3, 238. 47 more than the investment compounded annually.
How to find the investment value ?First, find the value of the investment when it is compounded periodically, 12 times a year.
The formula is:
= Amount invested x ( 1 + rate ) ^ number of periods
= 9, 000 x ( 1 + 9 % / 12 ) ^ ¹² ˣ ²⁰
= $ 53, 678. 16
If compounded annually, the value would be :
= 9, 000 x ( 1 + 9 % ) ²⁰
= $ 50, 439. 69
The difference is :
= 53, 678. 16 - 50, 439. 69
= $ 3, 238. 47
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an rn is preparing to administer 5% dextrose 1000ml iv infusion over 8 hours via an infusion pump. how many ml/hours the rn should set up the infusion pump? round to nearest complete number
Answer:
The RN should set up the infusion pump to deliver 125 mL/hour.
To calculate the infusion rate, we can use the following formula:
Infusion rate = Volume / Time
In this case, the volume is 1000 mL and the time is 8 hours. Plugging these values into the formula, we get the following:
Infusion rate = 1000 mL / 8 hours
Infusion rate = 125 mL/hour
Therefore, the RN should set up the infusion pump to deliver 125 mL/hour.
It is important to note that this is just the calculated rate. The actual rate may vary slightly depending on the type of infusion pump and the settings that are used.
Step-by-step explanation:
