The closest percentage volume that has drained out is 46%
How to determine the percentage volume?From the question, we have the following parameters that can be used in our computation:
V(t) = 4522(0.94)^t
The initial volume is calculated when t = 0
So, we have
V(0) = 4522(0.94)^0
Evaluate
V(0) = 4522
The new volume is calculated when t = 10
So, we have
V(10) = 4522(0.94)^10
Evaluate
V(10) = 2435.62
The percentage is then calculated as
Percentage = (V(10) - V(0))/(V(0))
So, we have
Percentage = (2435.62 - 4522)/4522
Evaluate
Percentage = -46%
Hence, the percentage is 46%
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If baeball cot $12 and are marked down by the ame percentage a baeball bat, how much will a baeball cot?
The percentage markdown only affects the price of the baseball bat, not the price of the baseball. Therefore, the price of a baseball will remain the same at $12.
What is meant by the term percentage?One technique to express a number as a fraction of 100 is through the use of percentage. It is typically used to denote a percentage or share of a larger whole, and it is frequently written with the sign "%." For instance, a student who obtains an 80 is referred to as having gotten a "80%" or "80%".
Percentages can be used to compare distinct numbers, to assess change over time, or to establish the proportion of a group or population that fits into a specific category. For example, a survey may state that 60% of respondents said "yes" to a certain question, or that the price of a product has grown by 10% in the last year.
How to solve.
If the price of a baseball is marked down by the same percentage as a baseball bat, then the price of a baseball will not change.
The percentage markdown only affects the price of the baseball bat, not the price of the baseball. Therefore, the price of a baseball will remain the same at $12.
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A daycare center has a weekly revenue of $21,000. The daycare director has created a monthly budget using the following percentages for expenses:
Percent
Employee Wages 42%
Building Rent 10%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 10%
Utilities 10%
Maintenance 3%
Emergency/Repair 3%
Which balance sheet correctly represents the daycare's income, expenses, and balance?
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $91,000.00
Expenses
Percent Amount
Employee Wages 42% $38,220.00
Building Rent 10% $9,100.00
Supplies 15% $13,650.00
Equipment 5% $4,550.00
Educational Licensing 2% $1,820.00
Food 10% $9,100.00
Utilities 10% $9,100.00
Maintenance 3% $2,730.00
Emergency/Repair 3% $2,730.00
$91,000.00
Balance
Income $91,000.00
Expenses $91,000.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $94,500.00
Expenses
Percent Amount
Employee Wages 42% $36,690.00
Building Rent 10% $9,450.00
Supplies 15% $14,175.00
Equipment 5% $4,725.00
Educational Licensing 2% $1,890.00
Food 10% $9,450.00
Utilities 10% $9,450.00
Maintenance 3% $2,835.00
Emergency/Repair 3% $2,835.00
$94,500.00
Balance
Income $94,500.00
Expenses $94,500.00
Balance $0
Income
Amount
Weekly Income $21,000.00
Total Monthly Income $42,000.00
Expenses
Percent Amount
Employee Wages 42% $17,640.00
Building Rent 10% $4,200.00
Supplies 15% $6,300.00
Equipment 5% $2,100.00
Educational Licensing 2% $840.00
Food 10% $4,200.00
Utilities 10% $4,200.00
Maintenance 3% $1,260.00
Emergency/Repair 3% $1,260.00
$42,000.00
Balance
Income $42,000.00
Expenses $42,000.00
Balance $0
The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:
A) Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0
What is balance sheet?A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.
The weekly income is of $21,000, while a month is composed by four weeks, hence the monthly income is of:
=4 x $21,000
= $84,000.
Then the percentages of each expenses are applied to find the values, for example, 42% of that is for employee wages, hence:
= 0.42 x 84,000
= $ 35, 280
From the details we get Employee Wages 42% of $35,280.00
Hence, the balance will be of zero and option A is correct.
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help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
D
Step-by-step explanation:
It passes through -1 and has a negative gradient
A line includes the points (-1,-4) and
(-3, 8). What is its equation in slope-
intercept form?
Answer:y=-6x-10
Step-by-step explanation:
The slope intercept form is y=mx+b
m=slope
b=y intercept
we can find the slope using the slope formula y2-y1/x2-x1
8-(-4)/-3-(-1)
12/-2
m=-6
substitute in the slope, and one of the points so solve for b
y=-6x+b
-4=-6(-1)+b
-4=6+b
b=-10
y=-6x-10
Answer:
y = -6x - 10
Step-by-step explanation:
(-1, -4), (-3, 8)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 8 - (-4) 8 + 4 12
m = ------------ = -------------- = ------------ = ------- = -6
x₂ - x₁ -3 - (-1) -3 + 1 -2
y - y₁ = m(x - x₁)
y - (-4) = -6(x - (-1))
y + 4 = -6(x + 1)
y + 4 = -6x - 6
-4 -4
------------------------
y = -6x - 10
I hope this helps!
noah have the delivery person $20 to pay for his meal, including a tip. what percentage of the price before tax did he tip the delivery person
What are the coordinates of the point on the directed line segment from (1, 5) to
(6, 10) that partitions the segment into a ratio of 3 to 2?
(4,6) are the coordinates of the point on the directed line segment from (1,5) to(6, 10) that partitions the segment into a ratio of 3 to 2.
Define mid point theorem,According to the midpoint theorem, the line segment drawn from the intersection of two triangle sides is parallel to and equal to half of the third side. To determine precise information about the lengths of triangle sides, one uses the Midpoint Theorem. According to the Midpoint Theorem, the segment connecting two triangle sides at their midpoints is parallel to the third side and is half its length.
Given
Points (1,5) (6.10)
Ratio 3 :2
Using mid point theorem,
( (mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n) )
3(6) + 2 (1)/ 3+2, 3(10) + 2(5)/ 2+3
18 + 2/5 , 20 + 10/5
20/5 , 30/5
4, 6
(4,6) are the coordinates of the point on the directed line segment from (1,5) to(6, 10) that partitions the segment into a ratio of 3 to 2.
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THE SOULITIONS TO the inequality y>-3x+2 are shaded in the graph. Which point is a solution?
A. (0,2)
B. (2,0)
C. (1,-2)
D.(-2,1)
Point (2,0) is the solution for the inequality y > -3x +2
What is the solution of inequality?Here we have,
y > -3x +2
The shaded area above the dotted line is the solution.
We are aware that
If a point is a solution to an inequality, then its coordinates must satisfy the inequality.
We will investigate all cases to find a solution to the problem.
A) Point (0,2)
Here,
x = 0
y = 2
Verify the inequality by changing the values of x and y.
2 > -3 x 0 + 2
2 > 2
It is not correct.
Therefore the point is not to solve the inequality.
B) Point (2,0)
Here
x = 2
y = 0
Verify the inequality by changing the values of x and y.
0 > -3 x 2 + 2
0 > -4
This is correct
Therefore the point is to solve the inequality.
Therefore point B is the solution.
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Evaluate
9
g
+
2
h
+
5
g
9
+2h+5start fraction, 9, divided by, g, end fraction, plus, 2, h, plus, 5 when
g
=
3
g=3g, equals, 3 and
h
=
6
h=6h, equals, 6.
The evaluation of the given expression 9/g + 2h + 5 when g = 3 and h = 6 gives the result 20
How to evaluate a given expression?9/g + 2h + 5
When,
g = 3
h = 6
Substitute the value of g and h into the expression
9/g + 2h + 5
= 9/3 + 2(6) + 5
= 3 + 12 + 5
= 20
Therefore, the expression 9/g + 2h + 5 when evaluated gives the result 20
Complete question:
Evaluate 9/g + 2h + 5 when g = 3 and h = 6
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what is the domain and range of The function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)}.
The definition of the domain of the function f: {4, 6, 8} ⇒{2, 3} over {(4, 2), (6, 2), (8, 2)} is given as {4,6,8}, while the range is given as 2.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.
Here,
function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)},
domain={4,6,8}
range={2}
The domain of function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)} will be {4,6,8} and range will be {2}.
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The formula for explicit sequence
Answer: The formula for explicit sequence is F(n)=6n
n=7
7) =6*7=42
Step-by-step explanation: Hope this was helpful
the teacher decides to let your class get in groups of four to complete the homework. if you are like most people, your effort on this group task will be
The effort required to complete this group task will be less than the effort required to complete the task as individual homework.
In social psychology, social influence is a topic of study. Social compliance, persuasion methods, brainwashing, and social obedience are a few examples of issues studied in this field.
Several phenomena show how having others around affects performance, one of which is social loafing.
When someone works less hard on a task when doing it in a group, this unique phenomena happens.
Your class is divided into groups of four and given the assignment by the teacher. This group assignment will require less effort from you than completing it as individual homework would have required. This exemplifies the social loafing principle.
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Guillermo bought textbook and notebook at the booktore. The number of textbook wa three more than twice the number of notebook. He bought even notebook. How many textbook did he buy ?
The no: of textbooks Guillermo bought is 7
What are problem sums?Issue with the internal transfer concept Sum questions involve subtracting from one unknown and adding to another, leaving the original total amount unaffected. It's also referred to as the Constant Total idea.
How do you teach children to problem sums?Follow The Problem-Solving Process Step by Step.
Review Old Issues; Write Down What Doesn't Work; "3 Before Me"
Ask open-ended questions, promote grappling, place an emphasis on process over product, and use the techniques yourself!
Let the no: of notebooks be 2
The no: of textbooks are : 3+ (2*2)
=7
Hence, the total no: of books are 7
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just type 2 for the answer
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Hello please solve this with steps
The dimensions of the rectangular prism are:
Length = 4 meters.
Width = 2 meters.
Height = 2 meters.
What are the dimensions of the storage space?A rectangular prism of width W, height H, and length L has a volume given by the formula:V = W*H*L
Here we know that: the height and the width are both 2 meters less than the depth, then:W = L - 2H = L - 2 and the volume is 16 cubic meters
Replacing that in the volume equation we will get:16 = L*(L - 2)*(L - 2)It is ratter easy to notice that if we take L = 4, we will get:16 = 4*(4 - 2)*(4 - 2) 16 = 4*(2)*(2)16 = 4*416 = 16 So L = 4 is a solution, then:
W = L - 2W
= 4 - 2 = 2
And also the height is:H = 4 - 2 = 2
These are the dimensions.
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PLEASE HELP ASAP!!!!!!!!
Answer:
The lie is #3.
Step-by-step explanation:
1 divided by 7^-3 is not equal to 7^-3. 7^-3/1 is equal to 7^-3 though.
If 5 bunnies can eat all the crops in a garden in 8 hours, how long would it take for 8 bunnies to eat the same amount of crops? Please help!
Answer:
5 hours
Step-by-step explanation:
40=8x
x=5
The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
If 5 bunnies can eat all the crops in a garden in 8 hours. The relation between work and time will be inverse. Then the product of the number of bunnies and the number of hours remains constant.
Let 'x' be the number of hours. Then the equation is given as,
8 × x = 5 × 8
Simplify the equation, then we have
8 × x = 5 × 8
8x = 40
x = 40 / 8
x = 5 hours
The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.
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Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).
-2/3, is the slope of the line that passes.
What is slope?A line's steepness and direction are measured by the line's slope.
Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line.
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-
P1 = (x1, y1) and P2 = (x2, y2)
According to our question-
The slope equation is [y2-y1/x2-x1]. For substitution and solution, use the provided points.
12-8/4-10
4/-6
-2/3
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I just need to know how to get to 55 pls
Answer/Step-by-step explanation:
Okay, so this question really is a nightmare, because this image is just not possible. Like, literally, Z is or is not the center, you do or do not have enough info. Its a bad question. This is not your fault. If you don't care why its a bad question scroll down to "How could someone get 55°"
If Z is the center, BZ and CZ are radii and equal. Angle CBZ is 60° because
AngleABC + Angle CBZ = 180°
120° + CBZ = 180°
CBZ = 60°
That means AngleC is also 60°. And then, since 180° in a triangle, AngleCZB also must be 60°.
This makes AngleCZD 120°.
But if Z is the center and ArcCD is 115°, then AngleCZD should be 115°.
Contradiction! Angle CZD can't be both 120° and 115° something is wrong here. See image.
How could someone get 55°? Well, it is also not correct but... If ArcCD is 115° then AngleCZD is 115° (if Z is the center) So AngleCZB is 180°-115°, which is 65°.
AngleCBZ is 60°
60° + 65° + C = 180°
125 + C = 180
C = 55°
Help with this please
The first set represents a function but the second case does not represent a function.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The value of 'y' for each value of 'x' must be distinct. Then the relation is a function. Otherwise, it will not be a function.
A) {(1, 0), (-2, 0)}
In the above relation, for each value of 'x' the value of 'y' is the same. Then the relation is function.
B) {(-2, 3), (1, 4), (3, 5), (-2, 6), (5, 7)}
In the above relation, at x = -2, the number of values of 'y' is 2. then the relation is not a function
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Graph the equation on the coordinate plane
Y=1/2x-3
Answer:
Step-by-step explanation:
Start at origin 0,0 make a point
go up 1 and over 2 make a point
connect with straight line
Dear Everyone, Please solve thid problem
1+1+1-1=
Answer:
2
Step-by-step explanation:
Pretty sure u know how to do this but
You have 1 dot and you add another dot which gives you 2 dots. And then you add another dot which gives you 3 dots. And then your mean friend takes away one of yours dots, which gives you 2 dots left.
Jody has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
Answer: The ratio of red marbles to blue marbles is 3:6. This can be written as a fraction as 3/6, which simplifies to 1/2.
Step-by-step explanation:
To find the ratio of two quantities, you can divide the number of one type of item by the number of another type of item. In this case, the ratio of red marbles to blue marbles is 3 marbles / 6 marbles, which simplifies to 1/2.
It's important to note that a ratio is not the same thing as a percentage or a fraction. A ratio is a comparison of two quantities, while a percentage is a measure of a quantity relative to the total amount and a fraction is a division of one number by another.
For the following data set, calculate the percentage of data points that fall within one standard deviation of the mean and compare the result to the expected percentage of a normal distribution.
{8, 12, 27, 32, 45, 57, 61, 73, 82, 94}
A. 40%; This percentage is lower than expected in a normal distribution.
B. 50%; This percentage is lower than expected in a normal distribution.
C. 60%; This percentage is lower than expected in a normal distribution.
D. 70%; This percentage is close to the expected percentage in a normal distribution
In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.
What is standard Deviation ?The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is.
According to the given information
8, 12, 27, 32, 45, 57, 61, 73, 82, 94 data points are provided.
Their average mean is 49.1.
The computed standard deviation is 29.31988.
The lower and upper limits are provided by the following when one standard deviation from the mean is taken into account.
= [ 49.1 - 29.31988, 49.1 + 29.31988 }
= [ 19.78012 , 78.41988 ]
We can observe that only six points—27, 32, 45, 57, 61 and 73—or 60% of the total—remain within one standard deviation of the mean.
In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.
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Answer: C 60%; This percentage is lower than expected in a normal distribution.
function rule to find f(7).
Answer: 196
Step-by-step explanation:
[tex]f(7)=(-7-7)^2 =196[/tex]
Which is the best definition of a boundary line for a linear inequality?
The line that divides the plane into an area that is triangular and an area that is rectangular.
The line that divides the plane into an area with solutions and an area that does not have solutions.
The line that divides the plane into four quadrants.
The line that divides the plane into eight quadrants.
Answer: The line that divides the plane into an area that is triangular and an area that is rectangular.
Rose chin deposited $900 in a new savings account. The amount for $1.00 compounded daily the account earns after 12 years at 5.25% interest is 1.878. Calculate the compound interest earned after 12 years.
The answer to this Question based on Compound Interest is 1690.2$
What is Compound Interest?
Compound interest is a type of interest that is calculated not only on the initial principal but also on the accumulated interest of previous periods. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal plus previously accumulated interest. It is the concept of earning interest on interest, which causes the total balance to grow at a faster rate than simple interest. Compound interest is often referred to as the eighth wonder of the world, as it is a powerful financial concept that can yield impressive results over a long period.
Initial money deposited = 900$
1$ turns into 1.878$ after 12 years of Compound Interest
hence by basic manipulation we can do like
900$ turns into 900 multiplied by 1.878 which comes out to b 1690$
Hence after 12 years final amount will be 1690$
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i need help to solve this!!
Answer:
Part A: A
Part B: 1 is the y-intercept and is 0 the horizontal asymptote
Step-by-step explanation:
why does the normal distribution have an importance in statistics of wether or not iut appears in nature
The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.
For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.
In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.
We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.
A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.
This characteristic of the normal distribution makes it extremely simple.
Also, the normal distribution is important because of the Central limit theorem.
It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.
So, the normal distribution have an importance in statistics of whether or not out appears in nature.
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8th grade math problems I need help I will mark brainliest + 50 points
Step-by-step explanation:
just a question should I help you with all of them?
Triangle ABC is a right triangle, with right angle B. Side AC has a length of 13. Side AB has a length of 5. Find the length of side CB.
The magnitude of length BC in the triangle ABC is equivalent to 8.49 units.
What is Pythagoras theorem?Pythagoras theorem states that -
"In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Mathematically, we can write-
[tex]a^2 + b^2 = c^2[/tex]
Given is that ABC is a right triangle, with right angle at B. Side AC has a length of 13 units. Side AB has a length of 5 units.
Using the Pythagoras theorem in the triangle ABC, we get -
AC² = BC² + AB²
BC² = AC² - AB²
BC² = (AC + AB)(AC - AB)
BC² = (13 + 5)(13 - 9)
BC² = 18 x 4
BC² = 72
BC = √(72)
BC = 8.49 units
Therefore, the length of the side BC is equivalent to 8.49 units.
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