Answer:
We can use the formula for simple interest to calculate the interest earned by Henry:
Simple Interest = (Principal * Rate * Time)
where,
Principal = $850 (initial amount)
Rate = 5% per year (as given)
Time = 4 years (as given)
Substituting the values, we get:
Simple Interest = (850 * 0.05 * 4) = $170
Therefore, Henry will have earned $170 in interest after 4 years of keeping his money in the savings account.
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the purchasing agent at a local hardware store noticed a sale on hammers. the original price of the hammers was $12 each. with the discount, he could get each hammer for $9.50. what percentage was the discount (rounded to nearest whole percentage)?
The percentage discount on the hammers is about 21%.
The discount is the difference between the original price and the discounted price.
Discount = $12 - $9.50
subtract the numbers
= $2.50
To find the percentage discount, we divide the discount by the original price and multiply by 100
Percentage discount = ( Discount / Original price ) x 100
Substitute the values in the equation and find the percentage discount
Percentage discount = ( $2.50 / $12 ) x 100
Do the arithmetic operation
Percentage discount = 20.83%
Rounding to the nearest whole percentage, the discount is approximately equal to 21%.
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One researcher treats this data set as a representative sample of passenger liner travelers at the time to study the factors that influence ticket prices. She expects that the sex of a passenger influences the ticket price. Propose a linear regression model to evaluate the researcher's expectation. Interpret your results. Another researcher argues that the above model omits important factors such as the age of a passenger, the number of family members who are traveling with the passenger, and the ticket class. Propose a hypothesis for each of these three variables. How do we revise the above model? Interpret your results. (Hint 1: use sibsp and parch to calculate the number of family members traveling with the passenger. Hint 2: You can create two dummy variables for the first and second class passengers as we discussed in class. Alternatively, you are allowed to treat pclass as an interval level variable for simplicity.) A third researcher thinks that the effect of sex is conditional on the age of the passenger. How do you update the model from question #2? Do your conclusions above regarding the effect of sex on the ticket price change? Use graphical tools available in Stata to interpret your results and to assess their statistical significance. Which of the three models from above accounts for more variation in the dependent variable?
Introduction: In this question, we have to propose a linear regression model to evaluate the researcher's expectation. We will interpret the result. We will propose a hypothesis for each of these three variables. We will revise the above model. We will update the model from question
#2. Finally, we will use graphical tools available in Stata to interpret our results and assess their statistical significance. Answer: The researcher's expectation is that the sex of a passenger influences the ticket price. Therefore, we can propose a linear regression model to evaluate the researcher's expectation. The regression model is as follows:
Y = β0 + β1X1 + e
Where, Y represents ticket price, X1 represents sex, β0 is the y-intercept, β1 represents the slope of the line and e represents the error term. The hypothesis for the above model is as follows:
Null hypothesis (H0): There is no significant relationship between the sex of a passenger and the ticket price. Alternate hypothesis (H1):
There is a significant relationship between the sex of a passenger and the ticket price. How do we revise the above model
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13 14 A printer has an original value of $7000. If it depreciates at the rate of 8 percent of the original cost per year, what is its value at the end of 9 years? $5040 O$1260 O $4940 O $2060 $1960 Clea In the construction of a new building, a landscape architect determined that he had a plot 1080 feet by 20 feet, to be filled to a depth of 3 inches with loam. How many cubic yards of loam would he require? O7200 600 1200 200 2400 Clea In a programming team of 16 persons, 1/4 are women and 3/4 are men. To obtain a team with 40 percent women, how many women should be hired? 20 02 08 16 04 Clea A company figured it needed 68.5 square feet of carpet for its reception room. To allow for waste, it was decided to order 4 percent more material than needed. Fract parts of square feet cannot be ordered. At $8.00 per square foot, how much would the carpet cost? O$548 O$880 O $405 Os216 $768 Clea 15 16
Part A: The value of the printer after 9 years is $2060.
The printer depreciates at 8% of its original cost per year. After 9 years, the value of the printer is calculated as:
$7000 x (1-0.08)^9 = $2060.
Part B:The volume of loam required is 5400 cubic feet
The plot is 1080 feet by 20 feet and needs to be filled to a depth of 3 inches with loam. First, we need to convert the depth to feet by dividing by 12: 3/12 = 0.25 feet. The volume of loam required is then calculated as:
(1080 x 20 x 0.25) = 5400 cubic feet.
To convert to cubic yards, we divide by 27: 5400/27 = 200 cubic yards.
Part C: We need to hire 6 more women.
The team currently has 1/4 women and 3/4 men, so the number of women in the team is 16 x 1/4 = 4. To obtain a team with 40% women, we need to have a total team size of:
4 / 0.4 = 10 women.
So, we need to hire 10 - 4 = 6 more women.
Part D: The carpet would cost $576.
To account for waste, the company needs to order 4% more material than needed, which means they need to order:
68.5 x 1.04 = 71.24 square feet of carpet.
Since fractional parts cannot be ordered, they need to order 72 square feet of carpet. The cost of the carpet at $8.00 per square foot is:
72 x $8.00 = $576.
Thus, the carpet would cost $576.
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How would you suggest that managers avoid the quick-fix mentality that makes management by best-seller so tempting?
You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:
1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.
2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.
3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.
4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.
5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.
6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.
By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.
Hope this helped you...
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Complete question :
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following clue :
Let manager's age = m
Kirk's age = k
Brian's age = b
Matt's age = a
Sum of their ages = 106
k = 2(m - 10) = 2m - 20
b = 2m - 12
a = 0.5m + 6
k + b + a + m = 106
Express all their ages in terms of m
2m - 20 + 2m - 12 + 0.5m + 6 + m = 106
5.5m - 20 - 12 + 6 = 106
5.5m - 26 = 106
5.5m = 106 + 26
5.5m = 132
m = 132 / 5.5
m = 24
Manager's age = 24 years
kirk = 2(24 - 10) = 2(14) = 28 years
Brian = 2(24) - 12 = 48 - 12 = 36 years
Matt = 0.5(24) + 6 = 12 + 6 = 18 years
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?
The option that would decrease the margin of error is B. increasing the sample size.
What is the margin of error?The margin of error is a statistic that expresses the amount of random sampling error in survey results. The greater the margin of error, the less confident one should be that a poll result will accurately reflect the results of a population census.
Because the sample size is in the denominator of the margin of error calculation, increasing the sample size reduces the margin of error. Furthermore, by expressing a value in a range, the margin of error assists researchers in determining its accuracy.
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Complete question
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?
selecting another sample
increasing sample size
decreasing sample size
increasing confidence level
What are the two things that do NOT prove that triangles are congruent?
Answer:
If the side which lies on one ray of the angle is longer than the other side, and the other side is greater than the minimum distance needed to create a triangle, the two triangles will not necessarily be congruent. to "swing" to either side of point G, creating two non-congruent triangles using SSA.
Step-by-step explanation:
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the value of x that makes the equation true is?
please help, question attached, giving brainliest
Answer:
X= -2
you draw a line down the equal sign and subtract 3 from each side of the equation then divide by -0.5 on both sides
-0.5x+3=4
-3 -3
-0.5x = 1
÷ -0.5 ÷ -0.5
x=-2
Evaluate the expression when
m= 6.
m2 - 5m-4
Answer:
6(2)-5(6)-4= -22
Step-by-step explanation:
it is correct
Describe how you would estimate the square root of 100.
Answer: all you do is figure out what number multiplied by itself equals 100 the answer is 10. an easy way is to use the calculator and use the square root symbol
Step-by-step explanation:
casper has some whipping cream that is 18\, percent butterfat and some milk that is 4\%4%4, percent butterfat. he wants to make a 500\,\text{ml}500ml500, start text, m, l, end text mixture of them that is 12\, percent butterfat.
Casper needs to use approximately 285.71ml of whipping cream and (500 - 285.71) ≈ 214.29ml of milk to make a 500ml mixture with 12% butterfat.
To make a 500ml mixture with 12% butterfat using whipping cream and milk, we can set up the following equation based on the principle of mixture:
0.18x + 0.04(500 - x) = 0.12(500)
Where x represents the amount of whipping cream in milliliters that we need to use in the mixture. The term 0.18x represents the amount of butterfat contributed by the whipping cream, and 0.04(500 - x) represents the amount of butterfat contributed by the milk. The right side of the equation represents the desired amount of butterfat in the final mixture, which is 12% of the total 500ml volume.
Now, let's solve the equation to find the value of x:
0.18x + 0.04(500 - x) = 0.12(500)
0.18x + 20 - 0.04x = 60
0.14x = 40
x = 40 / 0.14
x ≈ 285.71
Therefore, Casper needs to use approximately 285.71ml of whipping cream and (500 - 285.71) ≈ 214.29ml of milk to make a 500ml mixture with 12% butterfat.
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the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:\(s.a = 2(lb + bh + lh)\)
\(s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))\)
\(s.a = 2(45 + 20 + 36)\)
\(s.a = 2 \times 101\)
\(s.a = 202 \: {cm}^{2} \)
therefore, the surface area of the given cuboid is 202 square centimeters.
Which value of y makes the equation 16 -y = 11 true?
Answer:
16-5=11
Step-by-step explanation:
The floor of a restaurant is covered with 9500 parallelogram-shaped tiles. Each tile has a base of 0. 28 meter and a height of 0. 34 meter
What is the area of the floor
0. 0952 m
0. 062 m
904. 4 m
5890 m
To find the area of the floor, we can calculate the area of one parallelogram-shaped tile and then multiply it by the total number of tiles.
The area of the floor is 904.4 square meters
To find the area of the floor, we can calculate the area of one parallelogram-shaped tile and then multiply it by the total number of tiles.
The area of a parallelogram is given by the formula: Area = base * height.
From the given information, we know that each tile has a base of 0.28 meters and a height of 0.34 meters.
Calculating the area of one tile:
Area of one tile = 0.28 meters * 0.34 meters = 0.0952 square meters.
To find the area of the entire floor, we need to multiply the area of one tile by the total number of tiles:
Area of the floor = 0.0952 square meters/tile * 9500 tiles = 904.4 square meters.
Therefore, the area of the floor is 904.4 square meters.
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no le entendi ayuda porfavor
Answer:
A. 3x9x5
B. 2×3×7×10=420
C. 6×3×8×5=720
D.9×8×5=360
E. 3×10=30
F. 11×13=143
G. 41×7= 287
H. 67×73=4891
I. 89×97=8633
J. 53×1×61=3233
Science:
What is the kinetic energy of a 20 kg bowling ball moving in horizontal direction at 5.2 m/s towards the pin?
\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)
Given terms are :
m = mass = 20 kgv = velocity= 5.2 m/slet's solve for kinetic energy :
\( \dfrac{1}{2} m {v}^{2} \)\( \dfrac{1}{2} \times 20 \times 5.2 \times 5.2\)\(10 \times 5.2 \times 5.2\)\(270.4 \: \: joules\)True or False? A circle could be circumscribed about the
quadrilateral below.
• A. True
• B. False
Answer:
False
Step-by-step explanation:
m∆A+m∆C=180°
110°+110°=180°
220°(/=) 180°
A circle can be circumscribed about the given quadrilateral, the answer is true.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To circumscribe a circle about a quadrilateral means to place the quadrilateral inside the circle, such that the four vertices of the quadrilateral touches the the circumference of the circle.
Opposite angles of a circumscribed polygon are supplementary.
Therefore, a circle can be circumscribed about the given quadrilateral is true
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The 39 00 to the nearest 10 000
The number of bicycles in the repair shop is 5 times the amount of tricycles in the shop. There is a total of 39 wheels. How many bicycles are in the shop?
Answer:
15 bicycles
Step-by-step explanation:
ratio of bicycles to tricycles is 5:1 because it is 5 times greater and tricycle has 3 wheels and bicycles have 2 so i take 5 from the ratio and make a equation 5(2)+3(1)=13
i then divide 39 by 3 and get 3 i then take 3 and multiply it with it for the whole equation and find that 15 is the number of bicycles.
kim personal loan of 8000 will be paid off in 5 years, but she doesn't know if she would be approve for a 6% or 12% interest rate. her monthly payment base on the interest are shown below. how much more will kim pay in interest at the end of five years if does not get approve for the 6% intrest rate?
Answer:
1,398
Step-by-step explanation:
do 154.66 times 60 bcz 60 months are in 5 yrs so 154,66 times 60 equals 9,279.6 and 177.96 times 60 equals 10,677.6 so subtract those and you will get 1,398
Find the percent of change if a laptop was $65 discounted
to $45.
Answer:
30%
Step-by-step explanation:
Which expression is already in its simplified form?
a.) 3t+ (s +t)
b.) 6h + 2(h+ 3k)
c.) 5m + 7mn + 4n
d.) 8 + y3 - 5z2 + 2y3
Desmond is 72 years old and Anima is 5/6 as old as Samuel. If Louisa is a quarter the age of Amina added to 9. How old is Louisa?
The Louisa age as per the given information about the age is equal to 14 years old.
Age of Desmond = 72 years
Let us consider 'D' to represent Desmond's age.
Relation between ages is equal to,
Samuel is 1/3 of Desmond's age, so Samuel's age is (1/3)D.
Also, Anima is 5/6 as old as Samuel,
So Anima's age is (5/6)(1/3)D = (5/18)D.
We know that Desmond is 72 years old, so D = 72.
Substituting this value into the expressions for Samuel's and Anima's ages, we get,
Samuel's Age = (1/3)(72)
= 24
Anima's Age = (5/18)(72)
= 20
Now we can use the information about Louisa's age to find her age.
Louisa's age is a quarter of Amina's age plus 9.
Louisa's Age = (1/4)(20) + 9
= 14
Therefore, Louisa age is equal to 14 years old.
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The above question is incomplete, the complete question is:
Desmond is 72 years old , Samuel is 1/3 of Desmond and Anima is 5/6 as old as Samuel. If Louisa is a quarter the age of Amina added to 9. How old is Louisa?
Re-write the quadratic function below in Standard Form
y= 9(x - 1)(x + 7)
The value of quadratic function is,
⇒ y = 9x² + 54x - 63
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ y = 9 (x - 1) (x + 7)
Now, We can find the quadratic equation as;
⇒ y = 9 (x - 1) (x + 7)
⇒ y = 9 (x² + 7x - x - 7)
⇒ y = 9 (x² + 6x - 7)
⇒ y = 9x² + 54x - 63
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Andreas, Isla and Paulo share some money in the ratios 3:2:5 The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives, Andreas buys a video game for £48. 50 with some of his share of the money. Work out how much money Andreas has left from his share of the money when he has bought the video game
The money Andreas has left from his share of the money when he has bought the video game is £179.50.
Let the amount of money that they share be represented by the variable x.
Given that they share the money in the ratio 3:2:5, we can express their share of the money as:
Andreas' share = 3x/10
Isla's share = 2x/10
= x/5
Paulo's share = 5x/10
= x/2Also, given that the total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives, we can form an equation:
x/5 + x/2 = 3x/10 + £76
Multiplying both sides by 10 to get rid of the fractions, we get: 2x + 5x = 3x + £760x = £760
Therefore, the total amount of money shared is £760.
Now that we know the total amount of money shared, we can determine how much Andreas has left after buying the video game.
We are told that Andreas buys a video game for £48.50 with some of his share of the money.
Therefore, he has £48.50 less than his share of the money left, which is:3x/10 - £48.50.
This simplifies to:(3/10)(£760) - £48.50= £228 - £48.50= £179.50
Therefore, Andreas has £179.50 left from his share of the money after buying the video game.
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A parallelogram has an area of 150 square yards and a height of 5 yards.
what is the length of the base of the parallelogram?
enter your answer in the box. a parallelogram has an area of 150 square yards and a height of 5 yards.
what is the length of the base of the parallelogram?
enter your answer in the box.
The length of the base of the parallelogram that has a height of 5 yards and an area of 150 square yards is 30 yards
How to determine the base length?The given parameters are:
Area = 150
Height = 5
The area of a parallelogram is:
Area = Base * Height
So, we have:
Base * 5 = 150
Divide both sides by 5
Base = 30
Hence, the length of the base of the parallelogram is 30 yards
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Pls HAAAAAAAALLLLPPPPP plez
answer the question below
i don’t get it, pls explain
Answer:
The correct answer is F. x = 50
Step-by-step explanation:
Since angle PQR and angle TQV are vertical angles, it means their values will be equal. And since the two angles have a sum of 100°, their measure will be equal.
Therefore, the measure and value of angle TQV will be 50°.
the height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of 2 cm. which length separates the lowest 30% of the means of the plant heights in a sampling distribution of sample size 15 from the highest 70%? round your answer to the nearest hundredth. use the z-table below:
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm.
What is a Normal distribution in statistics?
Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.
Given data:
X: height of seaweed.
X~N (μ;σ²)
μ= 10 cm
σ= 2 cm
We have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X ≤ x) = 0.30
P(X ≥ x) = 0.70
Now by using the standard normal distribution,
we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula
Z = (X - μ)/σ
translates the Z value to the corresponding X value.
P(Z ≤ z) = 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X - μ)/σ
X= (Z * σ) + μ
X = (-0.52 * 2) + 10
= 8.96
hence, the value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm.
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Which points are the vertices of the ellipse?
O points G and H
O points J and K
O points L and N
O points M and N
Answer: the correct answer is A
Step-by-step explanation:
I just took the test
Answer:
O points G and H
Find the perimeter of the figure. Write your answer in simplest form.
Answer:
Where is the figure ????
Step-by-step explanation: