Answers
The number of cubes that can be fitted in the crate is 22
Finding the number of cubes:To solve this problem, first calculated the volume of the crate and the volume of one cube, both of which are measured in cubic units (cubic centimeters, in this case).
We then divided the volume of the crate by the volume of one cube to find the number of cubes that can fit inside the crate.
Here we have
The dimensions of the crate are 2.4m × 1.8 m × 1.1 m
The volume of the crate
= 2.4m × 1.8 m × 1.1 m
= 4.752 m³
Given that side of the cube = 60 cm = 0.6 m
Hence, Volume of the cube = (0.6 m)³ = 0.216 m³
Using the formula,
Number of boxes = Volume of box/ Volume of the cube
= 4.752 m³/0.216 m³ = 22
Therefore,
The number of cubes that can be fitted in the crate is 22
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Related Questions
The volume of a triangular pyramid is 756 units3 . If the base and height of the triangle that forms its base are 18 units and 12 units respectively, find the height of the pyramid.
Answers
If the base and height of the triangle that forms its base are 18 units and 12 units respectively then the height of the pyramid is 21 units.
The formula for the volume of a triangular pyramid is:
V = (1/3) * base area * height
We are given that the volume of the pyramid is 756 units^3, the base of the pyramid is a triangle with base length 18 units and height 12 units, so its area is:
A = (1/2) * base * height = (1/2) * 18 * 12 = 108 units^2
Substituting the given values into the formula for the volume of a pyramid, we get:
756 = (1/3) * 108 * h
Multiplying both sides by 3 and dividing by 108, we get:
h = 756 / 36 = 21
Therefore, the height of the pyramid is 21 units.
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Urgently need the answer please help!!
Answers
Answer:
A = 81
Step-by-step explanation:
Using the formulas
A=a2
P=4a
Solving forA
A=1
16P2=1
16·362=81
Answer:
[tex]36 {r}^{4} {s}^{5}[/tex]
Perimeter of the square
one side has a length of 9r⁴s⁵
area is equal to 9r⁴s⁵ × 9r⁴s⁵
= 81r⁸s¹⁰
or 81r⁸s¹⁰cm²
find the equation of a circle passing through the points (1, 2), (0, 3)and (-2, 7)
Answers
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle, and r is the radius.
We can find the center and radius of the circle by solving a system of equations using the three given points. Here's how:
First, we can find the equations of the perpendicular bisectors of the line segments connecting the three points. The intersection of these bisectors will be the center of the circle.
The midpoint of the line segment connecting (1, 2) and (0, 3) is:
((1+0)/2, (2+3)/2) = (1/2, 5/2)
The slope of the line segment is:
(3-2)/(0-1) = -1
The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment, which is:
1/(-1) = -1
So the equation of the perpendicular bisector is:
y - (5/2) = (-1)(x - 1/2)
y = -x + 6
The midpoint of the line segment connecting (0, 3) and (-2, 7) is:
((0-2)/2, (3+7)/2) = (-1, 5)
The slope of the line segment is:
(7-3)/(-2-0) = -2
The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment, which is:
1/(-2) = -1/2
So the equation of the perpendicular bisector is:
y - 5 = (-1/2)(x + 1)
y = (-1/2)x + (11/2)
The intersection of these two lines is the center of the circle. Solving for x and y, we get:
-x + 6 = (-1/2)x + (11/2)
x = 1
Substituting x = 1 into either equation, we get:
y = -1 + 6 = 5
So the center of the circle is (1, 5).
To find the radius of the circle, we can use the distance formula between one of the given points and the center of the circle. Let's use (1, 2):
r^2 = (1 - 1)^2 + (2 - 5)^2
r^2 = 9
r = 3
Therefore, the equation of the circle passing through the points (1, 2), (0, 3), and (-2, 7) is:
(x - 1)^2 + (y - 5)^2 = 9
The debate over pipelines and the use of oil sands is far from over. There is likely to be another
application for a pipeline to bring oil from Alberta to Texas or a proposal to pipe oil across Canada
.
to ships that could take it to refineries in Asia. What do you think should be done? Explain your
answer using complete sentences.
Answers
The decision of whether or not to build pipelines to transport oil from Alberta to Texas or other parts of Canada is a complex one that involves multiple factors.
From a mathematical perspective, the debate over pipelines and oil sands can be analyzed in terms of supply and demand. On the other hand, opponents of pipelines argue that the supply of oil is finite and that the continued extraction and transportation of oil will have long-term negative consequences for the environment.
In addition to the economic and environmental factors, there are also geopolitical considerations to take into account. For example, some argue that building a pipeline to transport oil from Alberta to Texas would reduce Canada's reliance on foreign oil and would increase our energy independence.
However, others argue that building a pipeline would tie us more closely to the United States and would not necessarily benefit Canada in the long run.
Regardless of the decision that is ultimately made, it is clear that pipelines will continue to play a significant role in our energy infrastructure for many years to come.
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For cross products and the right hand rule, does the order of the numbers matter? How about for addition and subtraction of vectors? Does the order matter?
Answers
For cross products and the right hand rule, the order of the numbers does matter. For addition of vectors the order does not matter and for subtraction of vectors the order does matter.
For cross products and the right-hand rule, the order of the numbers does matter.
When you switch the order of the vectors in a cross product, you get the opposite (negative) of the original result. Mathematically, A x B = - (B x A). The right-hand rule is used to determine the direction of the resulting vector, and reversing the order changes the direction.
For addition and subtraction of vectors, the order does not matter for addition, as vector addition is commutative. That is, A + B = B + A.
However, the order does matter for subtraction, as vector subtraction is not commutative. In this case, A - B ≠ B - A.
To summarize:
1. For cross products and the right-hand rule, the order of the numbers matters.
2. For vector addition, the order does not matter.
3. For vector subtraction, the order does matter.
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help pls don’t need to do work for it jist give answer
Answers
Answer:
A. 25%
B. Candidate B
C. 60% of voters chose Candidate A and Candidate C
Step-by-step explanation:
B. Candidate B
C. 60% of the voters
The cost of 36 watches is ₹179100. Find the cost of one watch
Answers
The cost of one watch is ₹4975. The answer we got was obtained by dividing the total amount for 36 watches by the number of watches
To find the price of one watch, we can divide the total fee of 36 watches by way of the quantity of number of watches:
Price of 1 watch = general cost of 36 watches / 36
We are given that the price of 36 watches is about ₹179100, so we can now do the replacement of this value in to the formulation:
Value of one watch Is = ₹179100 / 36
When we will Simplify this expression, we get:
Value of 1 watch = ₹4975
Therefore, the cost of one watch is ₹4975.
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a tugboat goes 200 miles upstream in 10 hours. the return trip downstream takes 4 hours. find the speed of the tugboat without a current and the speed of the current.
Answers
The speed of the tugboat without the current is 35 miles per hour, and the speed of the current is 15 miles per hour.
Let t be the speed of the tugboat without the current and c be the speed of the current.
Upstream, the tugboat moves against the current, so its speed is (t - c).
Downstream, the tugboat moves with the current, so its speed is (t + c).
The upstream distance is 200 miles in 10 hours, so the upstream speed is 200/10 = 20 miles per hour.
The downstream distance is also 200 miles, but it takes 4 hours, so the downstream speed is 200/4 = 50 miles per hour.
Now, we have two equations with two variables:
a. t - c = 20
b. t + c = 50
Solve these equations simultaneously:
a. Add the two equations to eliminate the variable c: 2t = 70
b. Divide both sides by 2 to get t: t = 35 miles per hour
c. Substitute the value of t back into one of the equations (e.g., t - c = 20): 35 - c = 20
d. Solve for c: c = 15 miles per hour
Hence, The speed of the tugboat without the current is 35 miles per hour, and the speed of the current is 15 miles per hour.
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Circumference of circle Q
Answers
The circumference of circle be 60 in.
Give that,
Angle of sector = 60 degree
Arc length = 10 inch
Arc length of circle = (Θ/360) x 2πr
Put the values
10 = (60/360)x2πr
⇒ r = 60/2π
Since circumference of circle = 2πr
Therefore,
circumference of the given circle = 2π x (60/2π)
= 60 in.
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A line has the equation 4y 12x 8 What is the gradient of the line? -
Answers
Answer:
Starting with 4y - 12x + 8 = 0, we can isolate y by subtracting 12x and dividing by 4:
4y - 12x + 8 = 0
4y = 12x - 8
y = 3x - 2
Now we can see that the gradient (or slope) of the line is 3.
Step-by-step explanation:
use brain
8.1 do you use a smart watch or fitness tracker? a pew internet poll asked 4272 u.s. adults about their use of smart watches and fitness trackers. a summary of the results reported that 897 adults regularly wear a smart watch or fitness tracker.7 a. identify the sample size and the count. b. calculate the sample proportion. c. explain the relationship between the population proportion and the sample proportion.
Answers
a) The Sample size is calculated to be 4,272 U.S. adults and count is 897. (b) Sample proportion is 0.21 or 21%. (c)The sample proportion is an estimate of the population proportion.
The sample size is 4,272 U.S. adults, and the count of those who regularly wear a smart watch or fitness tracker is 897.
To calculate the sample proportion, we divide the count of those who regularly wear a smart watch or fitness tracker by the sample size:
sample proportion = count / sample size
sample proportion = 897 / 4,272
sample proportion = 0.21 or 21%
Therefore, the sample proportion of U.S. adults who regularly wear a smart watch or fitness tracker is 21%.
The population proportion is the proportion of all U.S. adults who regularly wear a smart watch or fitness tracker, while the sample proportion is the proportion of U.S. adults in the sample who regularly wear a smart watch or fitness tracker.
The relationship between the two proportions is that the sample proportion is an estimate of the population proportion. The sample proportion provides a rough idea of the proportion of all U.S. adults who regularly wear a smart watch or fitness tracker, but it may not be exactly the same as the population proportion due to sampling error.
To get a more accurate estimate of the population proportion, we would need to take a larger and more representative sample or survey the entire population.
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Need help with this ASAP please
Answers
Answer: The answer is Q1: 2.3+34, Q2: 5.7+8.9.
Step-by-step explanation: Please give Brainlist.
Hope this helps!!!!
I can answer more questions if you like.
(Expert Answered)
for the grand opening, al's furniture store offered a spin the wheel for a discount to its customers. customers would spin the wheel and receive a discount on a single item of purchase. the wheel is divided into 12 equal slices. 6 slices awarded a 10% discount, 3 slices awarded a 20% discount, 2 slices awarded a 40% discount, and 1 slice awarded a 100% discount. what is the probability that a customer gets a 10% or 20% discount?
Answers
At the grand opening, al's furniture store, there is offering spin wheel for discount. The probability that a customer gets a 10% or 20% discount is equals to the 0.75.
At the grand opening, al's furniture store, it offered a spin the wheel for a discount to its customers. The wheel is divided into 12 equal slices.
The percentage of discount awarded by 6 slices = 10%
The percentage of discount awarded by 3 slices = 20%
The percentage of discount awarded by 2 slices = 40%
The percentage of discount awarded by 1 slices
= 100%
We have to determine the probability that a customer gets a 10% or 20% discount. As we see all slices are independent to each other so events related to these also independent.
We have total 12 slices. Since, 6 slices awarded for 10% discount i.e. chances of getting 10% discount is equal = 6/12
Similarly, 3 slices awarded for 20% discount i.e. chances of getting 20% discount is 3/12.
Hence chances of getting 10% or 20% discount is
= P( X = 20%) + P( X= 10%)
= 6/12 + 3/12
= 1/2 + 1/4
= 0.50 + 0.25
= 0.75
Hence, required value is 0.75.
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Determine the minimum sample size required when you want to be 95% confident that the sample mean is within two units of the population mean. assume a population standard deviation of 3.8 in a normally distributed population.
Answers
Minimum sample size (n) = 15
To determine the minimum sample size required, we can use the formula:
n = (Zα/2 * σ / E)^2
Where:
- n is the minimum sample size
- Zα/2 is the z-score at the 95% confidence level, which is 1.96
- σ is the population standard deviation, which is given as 3.8
- E is the maximum error we can tolerate, which is 2 units in this case
Substituting the values, we get:
n = (1.96 * 3.8 / 2)^2
n = 27.44
Rounding up to the nearest whole number, we get a minimum sample size of 28.
Therefore, we need to sample at least 28 individuals from the normally distributed population to be 95% confident that the sample mean is within two units of the population mean, assuming a population standard deviation of 3.8.
To determine the minimum sample size required for a 95% confidence level, we'll need to use the following formula:
n = (Z * σ / E)^2
where:
- n is the minimum sample size
- Z is the Z-score corresponding to the desired confidence level (1.96 for a 95% confidence level)
- σ is the population standard deviation (3.8 in this case)
- E is the margin of error (2 units in this case)
Step 1: Identify the values
Z = 1.96 (from the 95% confidence level)
σ = 3.8
E = 2
Step 2: Plug the values into the formula
n = (1.96 * 3.8 / 2)^2
Step 3: Calculate the result
n = (7.528 / 2)^2
n = (3.764)^2
n ≈ 14.15
Since the sample size must be a whole number, round up to the nearest whole number to ensure the desired level of confidence is achieved.
Minimum sample size (n) = 15
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3. AKLO is similar to ANMO.
a. Which side corresponds to side KO?
AC IS
b. Write a proportion that you could use to find MN.
c. What is MN?
3cm
units.
M
3 cm
K-
2.5 cm
O
L
7.5 cm
Answers
b. To find MN, we can use the fact that the sides of similar triangles are proportional. In particular, we can use the proportion:
MN/2.5cm = 3cm/7.5cm
This proportion compares the length of MN to the length of KO (which is 2.5 cm in the smaller triangle and 7.5 cm in the larger triangle). We can solve for MN by cross-multiplying and simplifying:
MN/2.5cm = 3cm/7.5cm
MN = (2.5cm)(3cm)/7.5cm
MN = 1cm
c. Therefore, MN is 1 cm.
Jim and Avery compare the number of points they scored during a game. Explain your answer mathematically
Jim notices that when he doubles his number of points, then subtracts 10 from that number, the result is the same as the number of points Avery scored. Write an expression representing the number of points
Avery scored, in terms of the number of points Jim scored, j. Enter your expression in the response box
Answers
The expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.
Let's assume that Jim scored 'j' points during the game. According to the given information, when Jim doubles his number of points and subtracts 10 from that number, the result is the same as the number of points Avery scored. Therefore, we can write an equation as follows:
2j - 10 = number of points scored by Avery
To find the expression representing the number of points Avery scored in terms of the number of points Jim scored, we simply solve the above equation for Avery's points:
number of points scored by Avery = 2j - 10
Therefore, the expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.
In summary, Jim scored 'j' points during the game and when he doubles his number of points and subtracts 10 from that number, he gets the same result as the number of points Avery scored.
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Pls help me lol much appreciated
Answers
Answer:
Step 2
Step-by-step explanation:
Let me know if you need an explanation! I gtg
and
Have a great day!!
the average person can walk 9/10 miles in 1/3 hour an athlete can jog 3 times that speed what distance in miles do you estimate that an athlete can jog in 2 hours? math problem
Answers
If the average person can walk 9/10 miles in 1/3 hour and an athlete can jog 3 times that speed, the estimated distance that the athlete can jog in 2 hours is C. 15 to 20 miles.
What is the estimated distance?The estimated distance can be computed as follows:
The distance an average person can walk in ¹/₃ hours = ⁹/₁₀ miles.
In 1 hour, the average person can 2.7 miles (⁹/₁₀ miles x ³/₁).
The athlete's comparable speed = 3 times of 2.7 miles in 1 hour = 8.1 miles.
Thus, in 2 hours, the athlete can walk 16.2 miles (8.1 x 2), which falls between 15 and 20 miles.
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How to find the perimeter of a composite shape with missing sides(rectangles)
Answers
Answer: You have to add up the lengths.
a cooler contains 7 bottles of coca-cola, 5 bottles of sprite and 3 bottles of water. if you randomly select 3 bottles, what is the probability that you will select two bottles of coca-cola and a bottle of water?
Answers
The probability of selecting two bottles of Coca-Cola and a bottle of water is 0.1385.
The total number of ways to select 3 bottles out of 15 bottles is given by the combination formula:
C(15, 3) = (15!)/(3!12!) = 455
where C(n, r) denotes the number of combinations of r items out of n items.
The number of ways to select 2 bottles of Coca-Cola and 1 bottle of water is given by the product of the number of ways to select 2 bottles of Coca-Cola out of 7 bottles and the number of ways to select 1 bottle of water out of 3 bottles:
C(7, 2) * C(3, 1) = (7!)/(2!5!) * (3!)/(1!2!) = 21 * 3 = 63
Therefore, the probability of selecting 2 bottles of Coca-Cola and 1 bottle of water is:
63/455 = 0.1385 (rounded to 4 decimal places)
So the probability of selecting two bottles of Coca-Cola and a bottle of water is approximately 0.1385.
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The value of a mountain bike y (in dollars) can be approximated by the model y=200(0.75)t, where t is the number of years since the bike was new. Would this table show growth or a decline (decay)? How do you know? Identify the annual percent increase or decrease in the value of the bike. Estimate when the value of the bike will be $50.
Answers
Answer:
Step-by-step explanation:
To determine if the table shows growth or decay, we can look at the coefficient of the exponential function y = 200(0.75)^t. The coefficient is 0.75, which is less than 1. This means that the value of the bike decreases over time, so the table shows decay.
To identify the annual percent increase or decrease in the value of the bike, we can compare the value of the bike after one year to its initial value. Plugging in t = 1 into the model, we get:
y = 200(0.75)^1
y = 150
So after one year, the value of the bike is $150. This represents a decrease of $50 from its initial value of $200. To find the percent decrease, we can use the formula:
percent decrease = (amount of decrease / initial value) x 100%
Plugging in the values, we get:
percent decrease = (50 / 200) x 100%
percent decrease = 25%
Therefore, the value of the bike decreases by 25% each year.
To estimate when the value of the bike will be $50, we can set y = 50 in the model and solve for t:
50 = 200(0.75)^t
0.25 = 0.75^t
log(0.25) = t log(0.75)
t = log(0.25) / log(0.75)
t ≈ 4.2
Therefore, the value of the bike will be $50 approximately 4.2 years after it was new.
Chen and Megan have a parcel Chen’s parcel weighs 1 1/2kg Megan’s parcel weighs 1. 2kg how many more grams does Chen’s parcel weigh than Megan’s parcel
Answers
Chen’s parcel weighs 0.3 kg more than Megan’s parcel
What is the difference in fraction?When working with fractions and decimals, it is good to use only one unit for ease of solving.
We are given the weights as:
Weight of Chen’s Parcel = 1¹/₂ kg
Weight of Megan's Parcel = 1.2 kg
Now, let us convert the weight of Chen’s Parcel from fraction to decimal to get 1.5 kg
Thus:
Difference in weight = 1.5 kg - 1.2 kg
= 0.3 kg
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a team of soccer players spend an average of 15 minutes on weight weight training per practice session.how many minutes of weight trainingon an average would they have to complete in 116 practise?
Answers
Answer:
The answer to your problem is, 1,740 minutes
Step-by-step explanation:
The time period of 116 trainings solutions;
The time period of 1 weight training that we know is 15 minutes. Time period of 116 weight is 5 x 116 = 1,740
Thus the answer to your problem is, 1,740
Answer:1,740 minutes
Step-by-step:
I first saw that I need to take 15 minutes and x it be the 116 Practices.
So 15 x 116 is 1,740.
1,740 minutes is your answer.
A farmer uses a tractor with circular front wheels that are 35 inches in diameter and circular rear wheels that are 56 inches in diameter. In one day of farming, the farmer drives the tractor a total of 14 miles. How many more times did the front wheel rotate than the rear wheel on this day? You may round your answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
To solve this problem, we can use the fact that the distance traveled by each wheel is proportional to its circumference, and the circumference of a circle is given by:
circumference = π x diameter
Using this formula, we can find the distance traveled by each wheel in one rotation, and then divide the total distance traveled by each wheel to find how many rotations each wheel made.
For the front wheels with a diameter of 35 inches, the circumference is:
circumference = π x 35
circumference ≈ 109.96 inches
In one mile, there are 5280 feet and 12 inches in a foot, so the distance traveled in one mile is:
distance in one mile = 5280 x 12 = 63360 inches
Therefore, the number of rotations made by the front wheels in one mile is:
rotations per mile = distance in one mile / circumference
rotations per mile ≈ 63360 / 109.96 ≈ 576.15
In 14 miles, the number of rotations made by the front wheels is:
rotations for front wheels = rotations per mile x 14
rotations for front wheels ≈ 576.15 x 14 ≈ 8066.10
For the rear wheels with a diameter of 56 inches, the circumference is:
circumference = π x 56
circumference ≈ 175.93 inches
Using the same calculation, the number of rotations made by the rear wheels in 14 miles is:
rotations for rear wheels = (distance in one mile / circumference) x 14
rotations for rear wheels ≈ (63360 / 175.93) x 14 ≈ 5068.21
The difference in the number of rotations made by the front wheels and the rear wheels is:
difference = rotations for front wheels - rotations for rear wheels
difference ≈ 8066.10 - 5068.21 ≈ 2997.89
Rounding the difference to the nearest whole number, we get:
difference ≈ 2998
Therefore, the front wheel rotated approximately 2998 more times than the rear wheel on this day.
is 3 greater than 3 and a Half (3>< 3 1\2
Answers
Answer:
3 and a half would be greater than 3
Step-by-step explanation:
3 and a half would be 3.5 which is .5 more than just 3.
Solve the system of equations using substitution 6x-9=y and y=-3x
Answers
Answer:
y = -3
x = 1
Step-by-step explanation:
To solve the system of equations using substitution, we need to isolate one variable in terms of the other in one of the equations and substitute this expression into the other equation. We can then solve for the remaining variable.
In this case, we are given two equations:6x - 9 = y
y = -3x
We can substitute the expression for y from the second equation into the first equation to get:
6x - 9 = -3x
Now we can solve for x:
6x + 3x = 9
9x = 9
x = 1
We can substitute this value of x back into one of the original equations to solve for y. Using the second equation, we have:
y = -3(1) = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
To verify the solution, we can substitute the values of x and y into the original equations and check if they are satisfied:
6x - 9 = y
6(1) - 9 = -3
-3 = -3
This equation is true, so x = 1 and y = -3 satisfy the first equation.
y = -3x
-3 = -3(1)
This equation is also true, so x = 1 and y = -3 satisfy the second equation.
Since x = 1 and y = -3 satisfy both equations, they are the solution to the system of equations using substitution.
Dave drove 6,000 miles in his car last year. The total of fixed costs was $1,250.00 and of variable costs was $1,000.00.
Answers
Total annual cost for Dave's car driving 6,000 miles last year is $2,250.00 with fixed cost of $1,250.00 plus variable cost of $1,000.00.
Based on the given information, we can use the formula for total cost
Total Cost = Fixed Cost + (Variable Cost per unit x Number of units)
In this case, we know the fixed cost is $1,250.00, and the variable cost per mile is $1,000.00 / 6,000 miles = $0.1667/mile. Therefore, we can calculate the total annual cost as
Total Cost = $1,250.00 + ($0.1667/mile x 6,000 miles)
Total Cost = $1,250.00 + $1,000.20
Total Cost = $2,250.20
So, Dave's total annual cost of driving his car for 6,000 miles is $2,250.20.
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--The given question is incomplete, the complete question is given
" Dave drove 6,000 miles in his car last year. The total of fixed costs was $1,250.00 and of variable costs was $1,000.00. What is the total annual cost?"--
the professor for a different section of the multi-section course reported his students’ exam scores as z-scores. a student in this section, katie, received a z-score of 2.2. what percentage of the students in her section did katie outscore?
Answers
Katie outscored approximately 1.39% of the students in her section.
How to calculate percentage of the students in her section did katie outscore?If Katie received a z-score of 2.2, this means that her score was 2.2 standard deviations above the mean of the exam scores for her section.
We can use a standard normal distribution table or calculator to find the percentage of scores that fall above a z-score of 2.2.
Using a standard normal distribution table, we can find the proportion of scores that fall below a z-score of 2.2, and then subtract this from 1 to find the proportion of scores that fall above a z-score of 2.2.
The table value for a z-score of 2.2 is approximately 0.9861, which means that approximately 98.61% of the scores fall below a z-score of 2.2. Therefore, approximately:
1 - 0.9861 = 0.0139, or 1.39%
of the scores fall above a z-score of 2.2.
This means that Katie outscored approximately 1.39% of the students in her section.
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can you guys please help me on this?
Answers
Answer: what do you need help with?
Step-by-step explanation:
through Buzz under the assignment.
1. lan deposits $2,400 each quarter for 3 years. The annuity earns 10% interest and is compounded quarterly. Find the present value of the annuity.
Using the Present Value of Ordinary Annuity Table, the correct factor for 12 compounding periods at 2.5% interest is 10.25776.
Answers
Answer:
$56,577.12
Step-by-step explanation:
To find the present value of the annuity, we can use the formula for the present value of an ordinary annuity, which is:
PV = PMT x [1 - (1 + r/n)^(-n*t)] / (r/n)
Where:
PV = present value
PMT = payment amount per compounding period
r = annual interest rate
n = number of compounding periods per year
t = total number of years
Plugging in the given values, we get:
PV = 2400 x [1 - (1 + 0.10/4)^(-4*3)] / (0.10/4)
PV = 2400 x [1 - (1.025)^(-12)] / (0.025)
PV = 2400 x [1 - 0.610355] / 0.025
PV = 2400 x 23.5742
PV = $56,577.12 (rounded to the nearest cent)
Therefore, the present value of the annuity is $56,577.12, assuming the interest is compounded quarterly and the annuity earns a 10% interest rate.
