The rate of inflating is r=30% per month.
The bill of food after three months can be determined as,
\(\begin{gathered} C=120(1+\frac{30}{100})^3 \\ C=263.64 \end{gathered}\)Thus, the bill after three months will be $263.64.
Please answer this in two minutes
Answer:
Not a triangle
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
josh , James and John share sweets in ratio 1:2:4 . Josh has 9 sweets less than John . how many sweets does John have ?
Answer:
12 sweetsStep-by-step explanation:
According to the ratio:
Josh has x, James has 2x and John has 4x sweets.Josh has 9 sweets less than John.
Use the difference to find the value of x:
4x - x = 93x = 9x = 3John has:
4*3 = 12 sweetsWrite the equation of the line that passes through the points (3, -4) and (-3, 0) in slope-intercept form.
Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.
\(\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}\)
Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.
\(y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b\)
Step 3: Put it all together.
\(y = -\frac{2}{3}x + 4\)
An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take for the shelter to meet the goal?
The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10
To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.
Let's break down the expenses and donations:
Expenses:
Annual rental = $2,500
Weekly expenses = $450
Donations:
One-time donation = $125
Pledged donations per week = $680
Let w represent the number of weeks it takes for the shelter to meet its goal.
Total expenses for w weeks = Annual rental + Weekly expenses * w
Total expenses = $2,500 + $450w
Total donations for w weeks = One-time donation + Pledged donations per week * w
Total donations = $125 + $680w
To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:
Total donations ≥ Total expenses
$125 + $680w ≥ $2,500 + $450w
Simplifying the inequality, we have:
$230w ≥ $2,375
Dividing both sides of the inequality by 230, we get:
w ≥ $2,375 / $230
Rounding the result to the nearest whole number, we have:
w ≥ 10
Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:
w ≥ 10
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The area of a rectangular-shaped garden can be no more than 64 square feet. If the length of the garden is 16 feet, what could be the measure of the width of the garden?
Answer:
4 square feet
Step-by-step explanation:
Area = Length * Width
64 = 16 * W.
W = 4.
So, 4 square feet.
Mark me as Brainliest if this is correct! I really appreciate it! :D
Answer:
I think its 50
Step-by-step explanation:
I got 16 × w less than or equal to 64. I added 16 on both sides and got x less than or equal to 50
solve each equation for x:
-5(3x + 4) = 25
4(x + 2) - 3(2x - 4) = 10
-4x - 3 = -1
Answer:
1. x = -3
2. x = 5
3. Exact Form: x = −1/2
Decimal Form: x = −0.5
Step-by-step explanation:
Answer:
1. -3
2. 2/3
3. 1/2
Write an inequality for the graph.
Easy buddy...
\(y \geqslant |x - 5| + 1 \)
Just it....
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
simplfy y2 when y = -9
The solution to the expression y² is 81 when y = -9
How to simplify the expression at the given valueFrom the question, we have the following parameters that can be used in our computation:
y = -9
Also, from the question, we have
y2
Express the exponents in the above expression properly
So, we have the following representation
y²
Substitute the known values in the above equation, so, we have the following representation
y² = (-9)²
Remove the bracket in the expression
'This gives
y² = 9²
Evaluate the exponent
So, we have the following representation
y² = 81
Hence, the solution is 81
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april, bill , candace, and bobby are to be seated at random in a row of chairs. what is the probability that april and bobby will occupy the seats at the end of the row?
The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333( approximately ).
Number of chairs in a row = 5
April and Bobby need to occupy the two end chairs.
The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.
The total number of ways to seat the 4 people in the 5 chairs is
= 5!/(5-4)!
= 5x4x3x2
= 120.
April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.
Bill and Candace can then sit in either of the two remaining chairs, in either order.
The number of ways to seat April and Bobby at the ends of the row is,
= 2x1x2x1
= 4.
Probability that April and Bobby will occupy the seats at the end of the row is,
4/120
= 1/30
= 0.0333( approximately ).
Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.
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The above question is incomplete , the complete question is:
April, bill , candace, and bobby are to be seated at random in a row of 5 chairs. What is the probability that April and bobby will occupy the seats at the end of the row?
Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for a low price. His baker realized they sold the same amount of muffins and cookies yesterday due to this great sale. What is the minimum amount of muffins that were sole yesterday? Is this a GCF or LCM problem?
Answer:
They sold 60 muffins and 60 cookies yesterday
It is a LCM problem
Step-by-step explanation:
6 muffins together
20 cookies together
To sell the same amount of muffins and cookies,
Find the lowest common multiple of 6 muffins and 20 cookies
6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78
20 cookies = 40, 60, 80
The lowest common multiple of 6 muffins and 20 cookies is 60
Therefore,
They sold 60 muffins and 60 cookies yesterday
It is a LCM problem
The point (5,7√2) lies on the circumference of a circle, centre (0, 0).
Find the equation of the circle.
The equation of the circle is: x² + y² = 123
What is the radius of a circle in mathematics?The distance through the center of the circle is called the diameter. The distance from the center of the circle to any point on the border is called the radius. The radius is half the diameter; 2r = d 2 r = d.
A straight line connecting two points of a circle is a chord. The equation of a circle with center (0,0) and radius r is given by:
x² + y² = r²
To find the value of R, we can use the fact that the point (5.7√2) is on the circumference of the circle. Substituting x=5 and y=7√2 in the circular equation, we get:
5² + (7√2)² = r²
Simplifying this equation, we get:
25 + 98 = r²
123 = r²
Taking the square root of both sides gives us:
r = √123
So the equation of the circle is:
x² + y² = 123
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if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
You want to know if it is true that when each of seven persons in a group shakes hands with each of the other six persons, a total of forty-two handshakes occurs.
HandshakesThe count of 42 handshakes includes every one of 7 shaking hands with each of the remaining 6, without regard to whether they met before.
The count will include A shaking hands with B, and B shaking hands with A. That handshake will be counted twice, so the number 42 overstates the actual number of handshakes by a factor of 2.
It is false that there will be 42 handshakes. (There will be only 21.)
Which of the x values are solutions to the inequality 4≥2-4x
Answer:
x = -1/2
Step-by-step explanation:
Given:
Inequality 4 ≥ 2 - 4x
Find:
Value of x
Computation:
4 ≥ 2 - 4x
4x ≥ -2
x ≥ -1/2
x = -1/2
please help with this. I only need help with the first question I have the second one figured out,
Answer:
m∠WZX = 41°
Step-by-step explanation:
diagonals bisect angles and opposite angles are congruent
therefore, ∠WXY ≅ ∠WZY
∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°
If ∠WXZ = 71° then so does ∠XZY
Which means that ∠WZX must equal 112-71 which is 41°
===================================================
Explanation:
Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.
angle XYZ = 68 in greenangle WXZ = 71 in redangle WZX = unknown, in blueTo make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following
R = red angleG = green angleB = blue angleNotice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.
For any parallelogram, the adjacent angles always add to 180.
(angle WZY) + (angle XYZ) = 180
(blueAngle+redAngle) + (greenAngle) = 180
(B+R) + (G) = 180
(B+71) + (68) = 180
B+139 = 180
B = 180-139
B = 41
The blue angle is 41 degrees, which means angle WZX is 41 degrees
Side note: Your steps and answer to problem 11 are correct. Nice work.
What is 2.3 x 2.3 please give a step-by-step explanation
Answer:
5.29
Step-by-step explanation:
Add it like normal, then move the decimal point.
Please please help will mark BRAINLIEST due tomorrow,!!!!! PLEASE PLEASE THANK YOU (PICTURE ATTACHED)
The solution for the inequality in this problem is problem is given as follows:
v ≤ 81.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The inequality is given as follows:
5v/9 ≤ 45.
v ≤ 45 x 9/5
v ≤ 9 x 9
v ≤ 81.
Hence the solution is composed by the numbers to the left of 81, with a closed interval at x = 81.
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Please help me with this.. its the last question and I dont get it. its just number 12 please help
Answer:
Lawrence was incorrect.
Step-by-step explanation:
Amy: 2(3x) +2(4x + 3)
= 14x + 6 ✓
Kaye: 3x + 3x + 4x + 3 + 4x + 3
= 14x + 6 ✓
Lawrence: 4(3x) + 2(4x)
= 20x Ø
Sufjan: 6 + 3x + 3x + 4x + 4x
14x + 6 ✓
Mr. Quesada took out a loan for $12,000. To pay it back, he will make 24 monthly payments of $629. How much will he pay in interest?
Answer:
$3,096
Step-by-step explanation:
To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.
The total amount Mr. Quesada will pay back over 24 months is:
$629 x 24 = $15,096
Subtracting the original loan amount, we get:
$15,096 - $12,000 = $3,096
So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.
Find: P ( Large or Red )
Answer: 37/40
Step-by-step explanation: 17+8+12 out of 40 total
What is the confidence level of a study with 72 scores and a standard deviation of 2.9?
The confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
The confidence level of a study refers to the level of certainty or reliability that can be placed on the results obtained from the study. It is often expressed as a percentage and indicates the likelihood that the findings of the study are representative of the larger population.
To calculate the confidence level, we need to know the sample size, the standard deviation, and the desired level of confidence. In this case, the sample size is 72 and the standard deviation is 2.9. The level of confidence is typically expressed as a percentage and is denoted by the Greek letter alpha (α). Common levels of confidence include 90%, 95%, and 99%.
To calculate the confidence level, we use the following formula:
Confidence Level = 1 - (α/2)
Where α/2 is the significance level, which is equal to (1 - Confidence Level)/2. Let's assume a desired confidence level of 95%. Using the formula, we can calculate the significance level as follows:
Significance Level =
(1 - 0.95)/2
= 0.025
To find the confidence level, we need to look up the critical value associated with the significance level in the standard normal distribution table (also known as the z-table). For a two-tailed test, the critical value is the positive z-value that corresponds to the significance level.
Looking up the z-value associated with a significance level of 0.025 in the z-table, we find a value of approximately 1.96. Now, we can calculate the confidence level:
Confidence Level =
1 - (0.025) =
0.975
To express the confidence level as a percentage, we multiply by 100:
Confidence Level =
0.975 * 100 =
97.5%
Therefore, the confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
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The confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
The confidence level of a study refers to the level of certainty or reliability that can be placed on the results obtained from the study. It is often expressed as a percentage and indicates the likelihood that the findings of the study are representative of the larger population.
To calculate the confidence level, we need to know the sample size, the standard deviation, and the desired level of confidence. In this case, the sample size is 72 and the standard deviation is 2.9. The level of confidence is typically expressed as a percentage and is denoted by the Greek letter alpha (α). Common levels of confidence include 90%, 95%, and 99%.
To calculate the confidence level, we use the following formula:
Confidence Level = 1 - (α/2)
Where α/2 is the significance level, which is equal to (1 - Confidence Level)/2. Let's assume a desired confidence level of 95%. Using the formula, we can calculate the significance level as follows:
Significance Level =
\((1 - 0.95)/2\\= 0.025\)
To find the confidence level, we need to look up the critical value associated with the significance level in the standard normal distribution table (also known as the z-table). For a two-tailed test, the critical value is the positive z-value that corresponds to the significance level.
Looking up the z-value associated with a significance level of 0.025 in the z-table, we find a value of approximately 1.96. Now, we can calculate the confidence level:
Confidence Level =
\(1 - (0.025) =0.975\)
To express the confidence level as a percentage, we multiply by 100
Confidence Level =
\(0.975 * 100 =\\97.5%\)
Therefore, the confidence level of the study with 72 scores and a standard deviation of 2.9 is approximately 97.5%. This means that we can be 97.5% confident that the findings of the study accurately represent the larger population.
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An item originally costs $175. 0. The item is now on sale for $99. 75. What percent
is the sale price of the original price? Is this an example of percent increase or
decrease? Explain how you know. *
It is percentage decrease by 43 percent.
Given that, the original cost of item = $175.00 and the sale price of item = $99.75.
Percentage increase or decrease = (Original Price - Sale Price)/Original Price ×100
= (175.00-99.75)/175.00 ×100
= 75.25/175.00 ×100
= 0.43×100
= 43%
Therefore, it is percentage decrease by 43 percent.
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Jane has $1 and 9 quarters in her pile. Brody has 13 quarters in his pile. If Jane gives Brody $1 and Brody gives Jane 4 quarters, will the two piles still be equal in value? Explain.
Answer:
Yes it will still be equal bc Brody has $3.1 and jane gave brody 1 more dollar then brody gave jane 4 quarters which is 1 dollar that's how the piles will still be the same
Step-by-step explanation:
plz mark brainilist
Please give me the answer nothing else
Answer:
h = 45.5 ÷ 7
Step-by-step explanation:
the total snowfall per year in laytonville is normally distributed with mean 99 inches and standard deviation 14 inches. based on the empirical rule, what is the probability that in a randomly selected year, the snowfall was less than 127 inches? enter your answer as a percent rounded to 2 decimal places if necessary.
We can say that approximately 95% of the total snowfall per year in Laytonville falls between 71 inches (99 - 2*14) and 127 inches (99 + 2*14).
According to the empirical rule, for a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.
Using this rule, we can calculate that the upper limit of 1 standard deviation above the mean is:
99 + 14 = 113 inches
And the upper limit of 2 standard deviations above the mean is:
99 + (2*14) = 127 inches
To answer the specific question, the probability that in a randomly selected year, the snowfall was less than 127 inches is approximately 95%. This can be interpreted as saying that in 95 out of 100 years, the total snowfall in Laytonville is less than 127 inches. As a percentage, this is rounded to 95.00%.
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If f(x) = x^2- 6 and g(x) = 2x – 1, determine the value of (gºf)(-3).
The diameter of ball bearing are ditributed normally. The mean diameter i 81 millimeter and the variance i 16. Find the probability that the diameter of a elected bearing i greater than 85 millimeter. Round your anwer to four decimal place
the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587
The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.
To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.
We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.
We the look up the probability for a value of 1 in the z-table, which is 0.1587.
This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.
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Which of these is a limitation of the case study? Multiple choice question. Because researchers are observing only outward behavior, they cannot know what a person is thinking or feeling. It can be difficult to generalize from one person to the larger population. Case studies don't provide very much detail about the people being studied. It can be difficult to sort out the statistical data from so many people.
It is important to consider the limitations of case studies when interpreting the results.
The limitation of case studies is that it can be difficult to generalize from one person to the larger population. Case studies are a type of research method that is used to get a detailed understanding of an individual, group, or event. They are typically used when the researcher wants to answer questions about the ‘how’ and ‘why’ of phenomena, which cannot be answered using other methods such as surveys or experiments.
While case studies can be useful in providing an in-depth analysis of an individual or group, they have certain limitations that need to be taken into consideration. One of the primary limitations of case studies is that it is difficult to generalize from one person to the larger population.
This is because case studies are typically conducted on a single individual or a small group of individuals, which makes it difficult to make inferences about larger populations. This means that the findings of a case study cannot be applied to a broader population without further research.
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a cone has volume of 98cm the radius of the cone is 5.13 what is the hight of the cone
Step-by-step explanation:
v=1/3πr²h
98=1/3×22/7×(5.13)²×h
98=1/3×22/7×(27.2403)×h
98=28.537×h
h=28.537/98
h=0.291m
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Answer:
Answer to your question is in the attachment
Please find the slope of each line and explain
Answer:
the picture is not clear for me I can't see anything sorry
Consider the following system of equations...
Part A: How many solutions does this system have? Justify your answer.
(25 Points to whoever answers this!)
We can use the concept of System of Equations to solve this question. The answer for part A is 0 and even for part B is 0.
How do you solve no.of solutions for a System of Equations?A two-variable linear equation is one with the formula ax + by + c = 0, where a, b, c R, a, and b 0. By comparing the coefficients of the variables in the equations, we may determine how many solutions there are to a system of linear equations. Take into account the pair of linear equations involving x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here, the real numbers a2, b2, and c2 are all present.
Keep in mind that a12 + b12 0 and a22 + b22 0
1. There will be a singular solution if (a1/a2) (b1/b2).
2. There will be an endless number of solutions if (a1/a2) = (b1/b2) = (c1/c2).
3. There won't be a solution if (a1/a2) = (b1/b2) ≠(c1/c2).
CalculationPart A:
4x+6y=24
2x+3y=8 are the given solutions are they are in the form of linear equations.
a1/a2 =2 b1/b2=2 and c1/c2=3
So according to the condition 3 , there will no solution if both the lines are parallel and a1/a2 =b1/b2 ≠c1/c2.
∴ So No.of solutions are Zero.
Part B:
In the updated system,
12x+18y=72
2x+3y=8
a1/a2 =6 b1/b2 =6 and c1/c2=9.
So according to the condition 3 , there will no solution if both the lines are parallel and a1/a2 =b1/b2 ≠c1/c2.
So they have same no.of solutions as the original system.
We can use the concept of System of Equations to solve this question. The answer for part A is 0 and even for part B is 0.
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