Due to an economic downturn, a company had to decrease its staff from 61 employees to 9 employees what was the percent decrease in staff? Round to answer to the nearest 10th.
(Photo added, please help I'm not smart)
Answers
Answer:
To calculate the percent decrease in staff, we need to find the difference between the original number of employees and the new number of employees, and then divide that difference by the original number of employees. Finally, we can multiply the result by 100 to get the percent decrease.
The difference between the original number of employees (61) and the new number of employees (9) is:
61 - 9 = 52
Dividing 52 by the original number of employees (61) gives:
52/61 ≈ 0.8525
Multiplying 0.8525 by 100 gives:
0.8525 × 100 ≈ 85.25
Therefore, the percent decrease in staff is approximately 85.25%. Rounded to the nearest tenth, the answer is 85.3%.
Answer:
= 85.3%
Step-by-step explanation:
Find how many employees are left:
61 - 9 = 52
Divide 52 by 61
= 0.8524590...
Multiple it by 100 to find %
= 85.245
Round to nearest tenth
= 85.3%
Related Questions
Find the Area of the figure below, composed of a parallelogram and one semicircle.
Rounded to the nearest tenths place
12
9
22
Answers
The area of the figure is approximately 163.8 square units, rounded to the nearest tenths place.
To find the area of this figure, we need to find the area of the parallelogram and the area of the semicircle, and then add them together.
The area of the parallelogram is given by the formula:
A = base x height
In this case, the base is 12 and the height is 9, so:
A_parallelogram = 12 x 9 = 108
The area of a semicircle is given by the formula:
[tex]A = (πr^2)/2[/tex]
where r is the radius of the semicircle.
The diameter of the semicircle is equal to the base of the parallelogram, which is 12. So, the radius of the semicircle is half of the diameter, or 6.
Substituting the values, we get:
A_semicircle = [tex](π x 6^2)/2 = 18π[/tex]
Adding the areas of the parallelogram and the semicircle, we get:
A = A_parallelogram + A_semicircle = 108 + 18π
Using a calculator to approximate π to the nearest tenths place, we get:
A ≈ 108 + 18 x 3.1 = 163.8
Therefore, the area of the figure is approximately 163.8 square units, rounded to the nearest tenths place.
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x>12 on a number graph
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On a number line graph, the inequality X > 12 would be represented as follows:
What is number line?A number line is a mathematical tool used to represent and visualize numbers, particularly real numbers, in a linear manner.
On a number line graph, the inequality X > 12 would be represented as follows(check attachment)
The line represents all real numbers, with the arrow pointing towards the right indicating that any number greater than 12 is a solution to the inequality. The circle at the end of the line is an open circle, indicating that 12 is not included in the solution set because the inequality is strict, i.e., X is strictly greater than 12.
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Lulu observes that when she dilates a quadrilateral from a center of dilation outside the
quadrilateral, the corresponding sides of the original figure and its dilated image are
parallel. Which statement best explains why this occurs?
Answers
As a result, the original figure's corresponding sides and those of its enlarged image are parallel.
what is quadrilateral ?A quadrilateral is a closed, two-dimensional form in geometry that has four straight sides. Four sides, four edges, and four angles make up the polygonal shape. The total of a quadrilateral's internal angles is 360 degrees. Kites, squares, rectangles, parallelograms, and trapezoids are examples of quadrilaterals.
given
Each side of the original figure is expanded to meet the dilation scale factor when a quadrilateral is dilated from an outer centre of dilation, and the sides of the dilated image are parallel.
Parallel lines continue to be parallel after scaling because dilatation scales each side of the quadrilateral by a constant factor.
As a result, the original figure's corresponding sides and those of its enlarged image are parallel.
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Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.
R = $1,000, i = 0.04, n = 14
Answers
By answering the presented question, we may conclude that Therefore, the future value of the ordinary annuity is $16,178.55 when interest is compounded annually.
what is interest ?In mathematics, interest is the amount of money gained or payable on an original investment or loan. You can use either simple or compound interest. Simple interest is calculated as a percentage of the initial amount, whereas compound interest is calculated on the principal amount plus any previously earned interest. If you invest $100 at a 5% annual simple interest rate, you will get $5 in interest per year for three years, for a total of $15.
the future value of an ordinary annuit
[tex]FV = R x [(1 + i)^n - 1]/i\\FV = $1,000 x [(1 + 0.04)^14 - 1]/0.04\\FV = $1,000 x (1.647142 - 1)/0.04\\FV = $1,000 x 16.17855\\FV = $16,178.55\\[/tex]
Therefore, the future value of the ordinary annuity is $16,178.55 when interest is compounded annually.
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The value of an industrial embroidery machine is decreasing according to the function defined by:
V(t) = 11,700(3)^-0.15
Where t is the number of years since the machine was purchased. What does the y-intercept represent?
A. The value of the machine after 3 years
B. The amount of time it takes for the value of the machine to reach zero
C. The rate at which the value of the machine depreciates
D. The original value of the machine
I think it is A. The value of the machine after 3 years
What do you think?
Answers
V(0) = 11,700(3)^-0.15
Simplifying this expression, we get:
V(0) = 11,700(1)
V(0) = 11,700
Therefore, the y-intercept of the function is 11,700. This means that when the machine was purchased (i.e., at t = 0), its value was $11,700.
So, the answer is D. The y-intercept represents the original value of the machine.
Help please!!! Due in a little. Thanks sm
Answers
Answer:108 degrees
Step-by-step explanation:easy
For f(x)=3x2 +x2,find: {x: f(x)=0}
Answers
By answering the presented question, we may conclude that Therefore, the solution set to the equation f(x) = 0 is {0}.
what is function?In mathematics, a function seems to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.
the equation:
[tex]3x^2 + x^2 = 0\\4x^2 = 0\\x^2 = 0\\x = 0[/tex]
Therefore, the solution set to the equation f(x) = 0 is {0}.
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I need help what is the square for CDEF
Answers
Using the area formula for square, we can find that the area of square CDEF is = 289-unit².
Define a square?In geometry, a square is a two-dimensional plane object with four equal sides and four equal, 90° angles. Although a rectangle only has its opposite sides equal, a rectangle and a square have some properties in common. As a result, a rectangle can only be described as a square if its four sides are equal in length.
As per the question,
In right-angled ΔABC, as per Pythagoras theorem:
AC = √ (AB² + BC²)
= √ (12² + 9²)
= √ 225
= 15.
Similarly, in ΔACD as per Pythagoras theorem:
CD = √ (AC² + AD²)
= √ (15² + 8²)
= √289
= 17
Now, in square CDEF:
Side of square CDEF, CD = 17.
Area = side²
= 17²
= 289-unit².
Therefore, area of square CDEF is = 289-unit².
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Match the term with its definition.
Point estimate
Confidence level
Confidence interval
Critical value
Margin of error
A single number estimate of an unknown population parameter.
The probability of observing a result that is at least as extreme as that observed in the sample.
The plausible values for an unknown population parameter based on an observed sample and a confidence level.
The proportion of times a confidence interval will capture the true value of an unknown parameter assuming the estimati
A researcher's opinion regarding the value of an unknown population parameter.
The maximum difference between the single number estimate of an unknown population parameter and the true value o
A value that separate statistics that are likely to occur from those that are unlikely to occur.
Answers
Margin of error is the maximum difference between the point estimate of an unknown population parameter and the true value of that parameter.
Point estimate: A single number estimate of an unknown population parameter. This is the value that is calculated based on the data collected from a sample of the population.
Confidence level: The proportion of times a confidence interval will capture the true value of an unknown parameter assuming the estimation process is repeated many times.
Confidence interval: The plausible range of values for an unknown population parameter based on an observed sample and a confidence level. This is calculated based on the point estimate and the margin of error.
Critical value: A value that separates statistics that are likely to occur from those that are unlikely to occur. This value is determined by the level of significance and the degrees of freedom for the statistical test.
Margin of error: The maximum difference between the point estimate of an unknown population parameter and the true value of that parameter. This is calculated based on the level of confidence and the variability in the sample data.
To summarize:
Point estimate is a single number estimate of an unknown population parameter.
Confidence level is the proportion of times a confidence interval will capture the true value of an unknown parameter assuming the estimation process is repeated many times.
Confidence interval is the plausible range of values for an unknown population parameter based on an observed sample and a confidence level.
Critical value is a value that separates statistics that are likely to occur from those that are unlikely to occur.
Margin of error is the maximum difference between the point estimate of an unknown population parameter and the true value of that parameter.
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21. In the diagram at the right, the orange figure is a translation image
of the red figure. Write a rule that describes the translation.
Answers
Move the figure 2 units to the right and Move the figure 3 units downwards are the rules to translate any point on the red figure to the corresponding point on the orange figure, and vice versa
To describe the translation rule for the red figure to the orange figure, we need to determine how the red figure was moved to obtain the orange figure.
First, we can see that the orange figure is shifted to the right of the red figure. This means that the x-coordinate of every point on the orange figure is greater than the corresponding point on the red figure.
Second, we can see that the orange figure is shifted downwards from the red figure. This means that the y-coordinate of every point on the orange figure is less than the corresponding point on the red figure.
Therefore, the translation rule for the red figure to the orange figure is:
• Move the figure 2 units to the right (add 2 to the x-coordinate of every point), and
• Move the figure 3 units downwards (subtract 3 from the y-coordinate of every point).
We can use this rule to translate any point on the red figure to the corresponding point on the orange figure, and vice versa. This translation rule can be used in various applications such as computer graphics, engineering, and architecture, where precise translations of objects are necessary.
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Pls help me with this anyone
Answers
The value of arc angle FH is 102⁰.
What is the value of arc angle FH?
The value of arc angle FH is calculated by first; determining the value of the bigger arc HGF by applying the intersecting chords theorem.
The intercepting chord theorem, also known as the tangent chord theorem, states that when a tangent line intersects a chord of a circle at a point on the chord, then the measure of the angle formed by the tangent line and the chord is equal to half the measure of the intercepted arc (the arc that lies between the endpoints of the chord).
arc HGF = 2 x 129⁰
arc HGF = 258⁰
The value of arc FH is calculated as;
arc FH = 360⁰ - 258⁰ ( sum of angles in a circle)
arc FH = 102⁰
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On an episode of Project Runway, the designers had to ask random people in Central Park to be their models. If the probability that one of these random people said “yes” to being a designer’s model is 0.38, what is the probability that a designer would have to ask at most 3 people to find someone that would agree to be their model?
0.1461
0.2383
0.3844
0.6156
0.7617
Answers
To solve this problem, we can use the geometric distribution, which models the number of trials needed to obtain the first success in a sequence of independent trials.
Let X be the random variable representing the number of people a designer needs to ask until they find someone who agrees to be their model. Then X follows a geometric distribution with probability of success p = 0.38.
How to calculate?The probability that a designer needs to ask at most 3 people is the sum of the probabilities that they need to ask 1, 2, or 3 people:
P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
We can calculate these probabilities as follows:
P(X = 1) = p = 0.38
P(X = 2) = (1-p) × p = 0.62 × 0.38 = 0.2356
P(X = 3) = [tex](1-p)^{2}[/tex] × p = [tex](0.62)^{2}[/tex] × 0.38 = 0.1448
Therefore, the probability that a designer would have to ask at most 3 people to find someone that would agree to be their model is:
P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.38 + 0.2356 + 0.1448 = 0.7604
Rounding this to four decimal places, we get 0.7604, which is closest to the answer option (D) 0.6156. However, none of the given answer options matches the calculated probability exactly.
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Dennis is growing tomatoes in his backyard. In one row of his garden, he has 8 plants. Each plant is separated from the next plant by 1.5 feet of space. Ignoring the width of each plant stem, what is the distance from the first plant to the last plant, in feet?
Answers
the distance from the first plant to the last plant, ignoring the width of each plant stem, is 10.5 feet.
Why is it?
To find the distance from the first plant to the last plant, we need to add up the distances between each adjacent pair of plants. Since there are 8 plants, there are 7 pairs of adjacent plants, and each pair is separated by 1.5 feet.
So, the total distance from the first plant to the last plant is:
7 ×1.5 = 10.5 feet
Therefore, the distance from the first plant to the last plant, ignoring the width of each plant stem, is 10.5 feet.
Distance refers to the measurement of the physical space between two points or objects. It is a scalar quantity that only considers the magnitude of the separation between two points and does not take into account the direction of the separation.
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9. You roll a standard number cube 5 times. Assume that each number is equally likely
to come up each time you roll. To the nearest tenth of a percent, what is the
probability that a number greater than 4 comes up exactly 2 of the 5 times?
Answers
The probability that a number greater than 4 comes up exactly 2 of the 5 times is about 32.9%.
What is the given probability?When rolling a standard number cube, the probability of getting a number greater than 4 is 2/6 = 1/3.
Using the binomial probability formula, the probability of getting a number greater than 4 exactly 2 times out of 5 rolls is:
P(X = 2) = (5 choose 2) * (1/3)^2 * (2/3)^3
P(X = 2) = 10 * 1/9 * 8/27
P(X = 2) = 80/243
To the nearest tenth of a percent, this probability is approximately:
P(X = 2) ≈ 32.9%
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Need help
40 points!! I’m
Answers
Answer:
1 shorter than 2 longer than 3 short
Simplify |x/3| if x>0
Answers
Answer: -31x
Step-by-step explanation:
|x|31 becomes -x31 which is -31x
Candice makes bracelets that contain 2 oval-shaped beads and 8 circular-shaped beads.
She has 32 oval-shaped beads and 38 circular-shaped beads.
How many bracelets can she make?
Answers
She has 32 oval-shaped beads, which means she can make 32/2 = 16 bracelets using only the oval-shaped beads.
She also has 38 circular-shaped beads, which means she can make 38/8 = 4.75 bracelets using only the circular-shaped beads.
Since Candice cannot make a fractional number of bracelets, the maximum number of bracelets she can make is limited by the number of circular-shaped beads she has. Therefore, she can only make 4 bracelets using the circular-shaped beads.
So, Candice can make a total of 20 bracelets.
At a real estate agency, an agent sold a house for 343000$. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answers
Answer: The commission rate for the real estate agency is 7.5% of the sale price, which is:
0.075 x 343000 = $25,725
The agent's commission is 30% of the amount the agency gets, which is:
0.3 x 25725 = $7,717.50
Therefore, the real estate agency made $25,725 on the house and the agent earned a commission of $7,717.50.
Step-by-step explanation:
Please help me it’s due tomorrow
Answers
Answer:
Step-by-step explanation:
This looks like a quadratic function is it?
NEED IMMEDIATELY: The circumference of a circular garden is 65.94 feet what is the diameter of the garden is 3.14 for pie and do not round your answer 
Answers
pi x 2r = circ
2r = circ/pi
r = circ /(2 x pi) = 65.94/(2 x 3.14) = 10.5 feet
The product of eight and two, minus the product of three and four
Answers
Answer:
4
Step-by-step explanation:
The product of eight and two is 8 x 2 = 16.
The product of three and four is 3 x 4 = 12.
So, the expression "the product of eight and two, minus the product of three and four" can be written as:
16 - 12 = 4
Therefore, the answer is 4.
I just want to know the answer of that question
Answers
Answer:
I think a
good luck
have a good day
Use the spinner below:
P(8 or 4) =
Answers
The probability of getting an 8 or 4 on the spinner is 1÷4 or 25%.
What is Probability ?
Probability is a branch of mathematics that deals with the study of random events or outcomes. It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
the probability of getting an 8 or 4 by assuming that the spinner has equally likely outcomes for each number from 1 to 8.
There are two possible outcomes that satisfy the condition of getting an 8 or 4: either the spinner lands on 8 or it lands on 4.
Since there are 8 equally likely outcomes on the spinner, the probability of getting an 8 or 4 is:
P(8 or 4) = number of favorable outcomes ÷ total number of outcomes
= 2 ÷ 8
= 1÷4
Therefore, the probability of getting an 8 or 4 on the spinner is 1÷4 or 25%.
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A rain drop hitting a lake makes a circular ripple. If the radius, in inches, grows as a function of time in minutes according to r(t)=15t+2−−−−√
, find the area of the ripple as a function of time. Find the area of the ripple at t=2
.
Answers
The area of the ripple at t=2 is 32π square inches.
What is area ?
Area is the measure of the size of a two-dimensional surface enclosed by a closed boundary, such as a polygon or a circle. It is typically measured in square units such as square meters, square feet, or square inches.
The equation for the radius of the circular ripple is given by r(t) = √(15t+2). The equation for the area of a circle with radius r is A(r) = πr².
Therefore, the area of the ripple as a function of time is given by:
A(t) = π[r(t)]²
Substituting the expression for r(t), we get:
A(t) = π[(√(15t+2))²]
A(t) = π(15t+2)
A(t) = 15πt + 2π
To find the area of the ripple at t=2, we substitute t=2 into the expression for A(t):
A(2) = 15π(2) + 2π
A(2) = 30π + 2π
A(2) = 32π
Therefore, the area of the ripple at t=2 is 32π square inches.
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Without evaluating explain why (-8.4)^5 is less than 2^2
Answers
Answer:
When you have a negative base and an odd exponent, you always get a negative answer. For example, (-9)^3 written out is -9 * -9 *-9. Although the answer becomes positive for the first two 9s (81) it becomes negative again for the third 9 (-729). A base with a positive exponent will always yield a positive number. Positive numbers are greater than 0 and are always greater than negative numbers.
Spenser is now working with the landscape architect to design the common backyard area. She knows she wants each swimming pool to cover an area of 630 square feet.
Which of these dimensions would work for the swimming pool? Select all that apply. PLEASE ANSWER ASAP
Answers
These dimensions would work for the swimming pool are
9 feet by 70 feet
10 feet by 63 feet
14 feet by 45 feet
15 feet by 42 feet
18 feet by 35 feet
21 feet by 30 feet
How to find dimensions of the swimming pool?
to find the dimensions of the swimming pool that covers an area of 630 square feet, we can use the formula:
Area = Length x Width = 394
Let x and y be the length and width of the
swimming pool, respectively. Then we have:
x * y = 630
We need to find the values of x and y that satisfy this equation. We can do this by finding the factors of 630 and checking which pairs multiply to 630.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
From this list, we can see that the following dimensions would work for the swimming pool:
9 feet by 70 feet
14 feet by 45 feet
10 feet by 63 feet
21 feet by 30 feet
15 feet by 42 feet
18 feet by 35 feet
So, the dimensions that would work for the swimming pool.
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A relay race is 1 /4 space m i l e s.
There are three relay runners on the team.
Each person runs the same distance.
How far does each person run?
Answers
The total distance run by each runner is 1/12 mile.
What is a relay race:
A relay race is a track and field event where athletes compete as part of a team, taking turns running a certain distance and passing a baton to the next runner until all team members have completed their portion of the race.
Here we have
A relay race is 1 /4 space mile
The number of relay runners on the team is 3
Let each runner, runs for x miles
The total distance run by 3 relays = 3x
From the data,
The relay race is 1/4 miles
=> 3x = 1/4 miles
=> 12x = 1 miles
=> x = 1/12 miles
Hence,
The total distance run by each runner is 1/12 mile.
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Someone do this for me
Answers
1. The triangles formed from the bisection of the perpendicular lines are equal, then, ΔACE ≅ΔBDE
2. The diagonals bisects the kite perpendicularly to form equal triangles.
ΔCBA ≅ CDA
3. The diagonals bisects the parallelogram into equal sides,
ΔABD≅ ECD
How to prove the statementsFirst, it is important to note the properties of a parallelogram. These properties are;
Opposite sides of a parallelogram are parallel and equal.Opposite angles of a parallelogram are equal.The consecutive or adjacent angles are supplementary, sums up to 180 degrees.If any one of the angles is a right angle, then all the other angles will be at right angle.The two diagonals bisect each other.From the diagram shown, we can see that the diagonals are lines CD and BD.
Hence, the triangles formed from the bisection of the perpendicular lines are equal.
2. Also, following the properties of a kite,
Two pairs of adjacent sides are equal.One pair of opposite angles are equal.The diagonals of a kite are perpendicular to each other.The diagonals bisects the kite perpendicularly to form equal triangles.
Triangle CBA is equal to CDA
3. Since the diagonals bisects the parallelogram into equal sides,
Triangle ABD is equal to triangle ECD
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Define and provide real world example for each of the following terms: a. The scarcity principle. b. Rational person c. Economic surplus d. Marginal benefit
Answers
Scarcity principle: Resources are limited and choices must be made, b. Rational person: Makes decisions based on logical thinking and self-interest, c. Economic surplus: Net gain to society from producing and consuming a good, d. Marginal benefit: Additional benefit from consuming one more unit of a good or service.
What is statement ?A statement is a declarative sentence that expresses a fact, opinion, or idea. It is a sentence that makes a claim or assertion that can be true or false, and it can be either affirmative (positive) or negative. A statement can be a simple sentence, or it can be a complex sentence that includes multiple clauses
According to the given information:a. The scarcity principle is the economic principle that states that resources are limited and cannot satisfy all human wants and needs. This principle recognizes that we live in a world of limited resources, and therefore, we must make choices about how to allocate those resources to satisfy our wants and needs. For example, a farmer may have limited land and water resources to cultivate crops, and he must choose which crops to grow based on their profitability, water requirements, and market demand.
b. A rational person is an individual who uses logical thinking and makes decisions based on self-interest to achieve the best possible outcome. A rational person weighs the pros and cons of each option and selects the alternative that maximizes their satisfaction or utility. For example, a consumer may compare prices and quality of different brands before purchasing a product to get the best value for their money.
c. Economic surplus is the difference between the total value that consumers place on a good or service and the total cost of producing it. It represents the net gain to society from producing and consuming the good or service. For example, if a firm produces 100 units of a product at a total cost of $500 and sells them for a total of $700, then the economic surplus is $200.
d. Marginal benefit is the additional benefit that a person receives from consuming one more unit of a good or service. It is the change in total benefit divided by the change in the quantity consumed. For example, if a consumer derives 10 units of satisfaction from consuming the first slice of pizza and 8 units of satisfaction from consuming the second slice, then the marginal benefit of the second slice is 8-10=-2 units of satisfaction.
Therefore, a. Scarcity principle: Resources are limited and choices must be made, b. Rational person: Makes decisions based on logical thinking and self-interest, c. Economic surplus: Net gain to society from producing and consuming a good, d. Marginal benefit: Additional benefit from consuming one more unit of a good or service.
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Geometry kites homework
Answers
The value of X when <1 = 3x+15 = 25. Then the value of the missing part of the sides of the kite (KITE) is given as follows;
X = 25
a.) ET = 60
b.) KE = 20
How to calculate the missing parts of the KITE?One of the properties of a kite is that it has two pairs of adjacent equal sides and the longer diagonal bisects the shorter one with the formation of angle 90°.
Therefore to calculate for X when <1 = 3x+15 is as follows;
<1 = 90°
90= 3x+15
3x = 90-15
3x = 75
X = 75/3
X = 25
But IT = ET
Given IT = 2x +20
X = 25
IT = ET = 2(20)+20
= 40+20 = 60
But KI = KE
Given that KI = 2x-30
X = 25
KI= KE = 2(25)-30
= 50-30 = 20
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