Rename the fraction as a decimal and a percent 3/25

Naya earns a total of $98538.30 in the 5th year

Naya starts with a salary of $85,000 per year, and her salary increases by 3% each year.

So, her salary in year 5 will be:

Salary = Initial salary * (1 + rate)^5

So, we have

Salary = 85000* (1 + 3%)^5

Evaluate

Salary = 98538.30

Hence, the 5th year earnings is 98538.30

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Answer: 7/9

Step-by-step explanation:

To find how many reams of paper the printing press used for each book, we need to divide the total number of reams used by the number of books printed.

Let's convert 2 1/3 reams of paper to an improper fraction:

2 1/3 = (2 × 3 + 1) / 3 = 7/3

So the printing press used 7/3 reams of paper to print 3 books. To find how many reams of paper were used per book, we can divide the total amount of paper used by the number of books:

(7/3) ÷ 3 = 7/9

Therefore, the printing press used 7/9 of a ream of paper for each book.

Answer:

2. Yes, there are potential problems with Kiran's study. The first group consists of the first 25 people who turned in the signed form. This means that the first group may not be representative of the entire population of 50 people. For example, if the first 25 people who turned in the signed form are all from a particular demographic group, then the results of the study may not be generalizable to the entire population.

3. It is important to randomly assign people to groups in an experimental study because it helps ensure that the groups are similar in all respects except for the studied variable. This helps reduce the impact of confounding variables and increases the study's internal validity. Random assignment also helps to ensure that any differences between the groups are due to chance rather than systematic differences between the groups.

Step-by-step explanation:

Answer:

2. Yes, Kiran's study does have possible flaws, indeed. The first 25 people who submitted the signed form are in the first group. This indicates that the first group might not be typical of the total 50-person population. The study's findings might not apply to the entire population, for instance, if the first 25 persons to submit a signed form are all from the same demographic group.

3. In this experimental study, it's crucial to divide participants into groups at random since it helps to ensure that the groups are comparable in all regards outside the studied variable. This raises the study's internal validity and lessens the effect of confounding variables. Also, random assignment makes sure that any discrepancies between the groups are the result of chance, rather than deliberate divisions.

It is possible that there is right-sided dominance in kissing behavior, based on the reported study. The fact that in a random sample of 127 kissing couples, both people in 79 of the couples tended to lean more to the right than to the left suggests a pattern of right-sided dominance.

However, it is important to note that this study alone is not conclusive evidence of right-sided dominance in kissing behavior.

Further research would be needed to confirm whether there is a consistent pattern of right-sided dominance in kissing behavior across different populations and cultures. It is also possible that other factors, such as social or psychological factors, could influence the direction in which people lean during a kiss. Therefore, it is important to approach this topic with caution and not draw any firm conclusions based on a single study.

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The area of the regular pentagon is 6.88 unit².

The area of a regular pentagon can be found if one side is known. The formula used for finding the area of a regular pentagon is:

A = 1/4 * [√5(5+ 2√5)] * s²

where s is the length of one side of the regular pentagon.

In this case, s = 2:

A = 1/4 * [√5(5+ 2√5)] * s²

A = 1/4 * [√5(5+ 2√5)] * 2²

A = 1/4 * [√5(5+ 2√5)] * 4

A = 6.88 unit²

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The probability of picking blue ball by Liz and Mike are equal =1/3

Probability is a branch of mathematics that deals with the study of random events or experiments. It is concerned with quantifying the likelihood or chance of a particular event occurring, given certain assumptions or conditions.

The probability of an event is typically represented as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. For example, if you flip a fair coin, the probability of getting heads is 0.5, and the probability of getting tails is also 0.5.

There are different methods for calculating probabilities, depending on the nature of the event or experiment being considered. Some of the most commonly used methods include the classical probability method, the empirical probability method, and the subjective probability method.

Probability has many applications in various fields, including statistics, finance, engineering, and science. It is used to model and analyze complex systems and to make predictions and decisions based on uncertain information.

Given : X contains 9 blue balls and 18 red balls.

Y contains 7 blue balls and 14 red balls.

Probability of picking blue ball is 9/9+18

=9/27=1/3

Now Mike pick ball from bag Y one ball not affect these pick ball

so, 7/7+14=7/21=1/3

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Answer: sin x= 20/24 x = 34

Step-by-step explanation:

Comparing the two volumes, we can see that the volume of the sphere decreased when the radius was increased by 1 inch. This is because the volume of a sphere increases with the cube of its radius, so small changes in the radius can result in significant changes in the volume.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a sphere, we use the formula:

V = (4/3)πr³

where "r" is the radius of the sphere and "π" is approximately 3.14.

If the radius of the sphere is 19 inches, we can substitute this value into the formula to find its volume:

V = (4/3)π(19)³

V = (4/3)π(6859)

V = 36,236.71 cubic inches (rounded to two decimal places)

Therefore, the volume of the sphere with a radius of 19 inches is approximately 36,236.71 cubic inches.

If the radius is increased by 1 inch to 20 inches, we can find the new volume of the sphere using the same formula:

V = (4/3)π(20)³

V = (4/3)π(8000)

V = 33,510.32 cubic inches (rounded to two decimal places)

Hence, Comparing the two volumes, we can see that the volume of the sphere decreased when the radius was increased by 1 inch. This is because the volume of a sphere increases with the cube of its radius, so small changes in the radius can result in significant changes in the volume.

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They have traveled 234 miles when they completed 72 percent of the trips distance ​

from the question, we have the following parameters that can be used in our computation:

Distance = 325 miles

Distance completed = 72%

Using the above as a guide, we have the following:

Distance completed = 72% * Total distance

Substitute the known values in the above equation, so, we have the following representation

Distance completed = 72% * 325 miles

Evaluate

Distance completed = 234 miles

Hence, the distance completed = 234 miles

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x has a value of 9. The correct response is (D).

Since the measures of angles A and B are equal, we can set them equal to each other and solve for x:

m∠A = m∠B

4x - 2 = 6x - 20

Subtracting 4x from both sides, we get:

-2 = 2x - 20

Adding 20 to both sides, we get:

18 = 2x

Dividing both sides by 2, we get:

x = 9

Therefore, the value of x is 9. Answer choice (D) is correct.

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Answer:

There are a total of 4 + 6 + 10 = 20 CDs in the case. Eric has a 10/20 = 1/2 chance of picking a pop CD since there are 10 pop CDs in the case.

Therefore, the answer is D) 1/2.

Answer:

Step-by-step explanation:

Eric has a total of 4 + 6 + 10 = 20 CDs in the case.

The probability of picking a pop CD is the number of pop CDs divided by the total number of CDs:

P(pick a pop CD) = 10/20 = 1/2 = 0.5

Therefore, the probability of Eric picking a pop CD is 0.5 or 50%.

The rate at which Sheila charges customers for each serving =  $2.5 per serving.

Here the table that shows the cost of a cake from Sheila based on the number of servings is:

SERVINGS          TOTAL COST

    100                       $280

    150                       $405

    200                       $530

    250                       $655

We need to find the rate at which Sheila charge customers for each serving.

Consider points (x₁, y₁) = (100, 280) and  (x₂, y₂) = (200, 530)

where x is the number of servings and y coordinate represents the cost of servings.

The rate at which Sheila charges customers for each serving would be,

r = (y₂ - y₁) / (x₂ - x₁)

r = (530 - 280) / (200 - 100)

r = 250 / 100

r = 2.5

Therefore, the required rate is $2.5 per serving.

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To find the margin of error, we use the formula:

Margin of Error (ME) = Z * [tex]\sqrt{(p * (1-p) / n)}[/tex]

Z = 1.96 (for a 95% confidence level)

p = 0.33 (proportion of adults who said skim milk is a good calcium source)

(1-p) = 1 - 0.33 = 0.67 (complement of the estimated proportion)

n = 2406 (sample size)

ME = 1.96 * [tex]\sqrt{(0.33 * 0.67 / 2406)}[/tex] = 0.0185 (rounded to four decimal places)

This means that we can estimate, with 95% confidence, that the true proportion of adults who believe skim milk is a good calcium source falls within a range that is 1.85% above or below the reported proportion of 33% based on the survey results.

In other words, the actual proportion of adults who believe skim milk is a good calcium source could be as low as 31.15% or as high as 34.85% based on the margin of error.

I hope this helps you .

Answer: The compound interest is $409.49, and the total amount after one year is $3,665.49.

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

P = the principal (in this case, $3,256)

r = the annual interest rate (100%, or 1 as a decimal)

n = the number of times the interest is compounded per year (4, since it's compounded quarterly)

t = the number of years (1)

Plugging in the values we know, we get:

A = $3,256(1 + 1/4)^(4*1)

A = $3,256(1.25)^4

A = $3,665.49 (rounded to the nearest cent)

To find the compound interest, we can subtract the principal from the total amount:

Compound interest = $3,665.49 - $3,256 = $409.49

Therefore, the compound interest is $409.49, and the total amount after one year is $3,665.49.

On solving the provided query we have   His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

The amount that an employer withholds from an employee's paycheck to pay for taxes, insurance premiums, and other deductions like retirement contributions or wage garnishments is known as a withholding. Before the employee receives their net pay—the amount they actually take home after all deductions are done—these deductions are made.

For Miguel, taxes, insurance, and retirement plan payments total $783, and these are taken from each pay period. His net pay would be the amount he receives after this $783 has been subtracted from his gross income. This $783 reflects his withholdings.

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Answer: C. Withholdings

Step-by-step explanation:

just did it and got it right

Since the center of this semicircle is at the origin, O (0, 0), the radius of the semicircle is 5 units.

Since the center of this semicircle is at the point A (3, 4) and point B (-4, 5), the radius of the semicircle is 5√2 units.

In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation (formula):

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

By substituting the given points into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(3 - 0)² + (4 - 0)²]

Distance = √[(3)² + (4)²]

Distance = √(9 + 16)

Distance = √25

Distance = 5 units.

At point A (3, 4) and point B (-4, 5), the radius is given by;

Distance = √[(-4 - 3)² + (5 - 4)²]

Distance = √[(-7)² + (1)²]

Distance = √(49 + 1)

Distance = √50 = 5√2 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The area of the composite figure is 84.85 square units

The area of the composite figure is solved by breaking it up and adding together

To find the area of a semicircle of diameter 8, we first need to find the radius of the semicircle, which is half of the diameter:

radius = diameter / 2 = 8 / 2 = 4

area of semicircle = (1/2) * pi * radius^2

= (1/2) * pi * 4^2

= 8 pi

Now, let's find the area of the parallelogram. The area of a parallelogram is given by the formula:

area of parallelogram = base * height

In this case, the base is 10 and the height is 6, so we have:

area of parallelogram = 10 * 6

= 60

total area = area of semicircle + area of parallelogram

= 8 pi + 60

= 60 + 8 pi (in exact form) or approximately 84.85 (rounded to two decimal places)

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As per the given Equation Each sister received 1 piece of jewelry.

Let's the number of pieces of jewelry that each sister received "x". Since there are 5 sisters, the total number of pieces of jewelry that the sisters received is 5x.

We can then set up an equation to represent the total number of pieces of jewelry that the sisters received from both grandmothers:

13 + y = 5x

This equation says that the total number of pieces of jewelry the sisters received is equal to the sum of 13 pieces from Grandma Gertrude and y pieces from Grandma Fien, and this total is also equal to the number of sisters (5) times the number of pieces each sister received (x).

To solve for x, we can first simplify the equation:

y = 5x - 13

Now we can substitute this expression for "y" into the original equation:

13 + (5x - 13) = 5x

5x = 5x

This equation is true for any value of x, which means that x can be any number. However, we are looking for the number of pieces of jewelry that each sister received, so we need to find a specific value of x.

Dividing both sides of the equation by 5, we get:

x = 1

This means that each sister received 1 piece of jewelry.

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The possible number of letter arrangements of 15 letter with 5 a's, 5 b's and 5 c's have no a's in the first 5 letters, no b's in the next 5 letters and no c's in the last 5 letters are equal to 2252.

Total number of letters for arrangement are 15 in count. Arrangment of 5 A's, 5 B's and 5 C's have no A's in the first 5 letters, no B's in the next 5 letters and no C's in the last 5 letters. In other words, we say that the first five letters must be B's or C's, the next five letters must be C's or A's, and the last five letters must be A's or B's. If there are k number of B's in the first five letters, then there must be (5-k) C's in the first five letters, like that there must be k C's and (5 - k ) A's in the next five letters, and k A's and (5-k) B's in the last five letters. That is number of each letter in each group of five letters is determined completely by knowing the number of B's in the first 5 letters. The number of ways to arrange, 15 letters with this restriction is [tex]$\binom{5}{k}^3$[/tex](since there are [tex]$\binom{5}{k}$[/tex]

ways to arrange k B's and 5-k C's that is arrangements ( 1B + 4C , 2B+ 3C , 3B+2C, 4B+ 1C ),similarly for next five arrangements (1A + 4C , 2A+ 3C , 3A+2C, 4A+ 1C ), ( 1B + 4C , 2B+ 3A , 3B+2A, 4B+ 1A ) and ( 5B, 5C, 5A), ( 5C,5B,A). Thus, the final answer for arrangement is [tex]$\sum_{k=0}^{5}\binom{5}{k}^{3}$[/tex]

Solve the above bionomial expression,

[tex]= \binom{5}{0}^{3} + \binom{5}{1}^{3} + \binom{5}{2}^{3} + \binom{5}{4}^{3} + \binom{5}{5}^{3} \\ [/tex]

[tex]= (\frac{ 5!}{5! 0!})^{3} + (\frac{ 5!}{4! 1!})³ + (\frac{5!}{3! 2!})³ + (\frac{5!}{2! 3!})³ + (\frac{5!}{1! 4!})³ + (\frac{5!}{0! 5!})³ \\ [/tex]

= 1 + 5³ + 10³ + 10³ + 5³ + 1

= 2252

Hence, required value is 2252.

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The maximum profit will be $87,000.

To find the quantity of things that will augment the benefit, we want to find the vertex of the parabola addressed by the given capability.

The vertex of a parabola in the form of[tex]y = ax^2 + bx + c[/tex] is located at the point [tex](-b/2a, c - b^2/4a)[/tex].

So for the function [tex]P(x) = -3x^2 + 12x + 75,[/tex] the coefficient of [tex]x^2[/tex] is -3, the coefficient of x is 12, and the constant term is 75.

Therefore, the number of items that will maximize the profit is:

x = -b/2a = -12 / 2(-3) = 2

The second derivative test is something we can use to make sure that this is a maximum. The vertex is a maximum when the second derivative of P(x) is -6, which is negative.

Since x is in thousands, the maximum profit occurs when 2,000 items are produced, and the maximum profit is:

[tex]P(2) = -3(2)^2 + 12(2) + 75 = 87[/tex]

Hence, the business will boost its benefit by making 2,000 things, and the most extreme benefit will be $87,000.

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The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.

This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.

For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.

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Thus, Taner needs to run only 3 km this week to reach his  run target of 6 km.

We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.

Given that-

So,

2 week target for Taner = 6 km

Now,

1 week target for Taner = 6/2 = 3 km

As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.

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A) The explicit rule for the value of the collection n years after it was worth $300,000 is  = $300,000 * (1.15)^n

B) Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

A) We know that the value of the art collection three years ago is $300,000, and the value of the collection two years ago is $345,000. Using these values, we can find the common ratio (r) of the geometric sequence:

r = (value two years ago) / (value three years ago)

r = 345,000 / 300,000

r = 1.15

Now that we have the common ratio, we can write the explicit rule for the value of the collection n years after it was worth $300,000:

value after n years = $300,000 * (1.15)^n

B) Using the explicit rule we found in part A, we can determine the value of the collection 7 years after it was worth $300,000:

value after 7 years = $300,000 * (1.15)^7

value after 7 years ≈ $698,285

Rounded to the nearest dollar, the value of Madame Dumas's art collection 7 years after she started tracking its worth is $698,285.

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The response falls between 3 and 4, as a result of: 11/3 = 3.67 as Ben therefore travelled 3 to 4 miles further than his sister.

In geometry, the separation separating two points is determined by the length of the segment of a straight straight line linking them. In two- or two half space, this is referred to as the Euclidean distance. Distance is a crucial idea that is applied in numerous contexts in real life. For instance, distance is employed in transportation to gauge route length and determine trip times. Distance is a unit of measurement used in sports to indicate how far apart two things are or how long a race is. The measurement of distance to celestial objects is a common practise in many scientific disciplines, including astronomy.

given

Ben covers the following distance after walking 5/6 miles per day for 11 days:

11 days at 5/6 miles each day equal 55/6 miles.

Over the course of 11 days, his sister covered a total distance of:

11 days at 3/6 miles per day equal 33/6 miles.

We must take the distance between them out to determine how much farther Ben went than his sister:

22 miles from 55/6 miles to 33/6 miles.

By multiplying the numerator and denominator by 2, we may reduce the following fraction:

22/6 = 11/3

Ben therefore travelled 11.33 miles further than his sister.

The response falls between 3 and 4, as a result of: 11/3 = 3.67 as Ben therefore travelled 3 to 4 miles further than his sister.

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Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden.

To solve it, we need to first find the area of Marcus's garden in square yards, and then multiply it by 1 cup of plant food per square yard. Finally, we need to convert the total cups to ounces using the given conversion rate.

Let the length of Marcus's garden is l yards and the width is w yards. Then the area of his garden in square yards is

A = lw.

If Marcus uses 1 cup of plant food per square yard, then he will use A cups of plant food in total.

To convert cups to ounces, we can use the given conversion rate of 4 cups per 28 ounces.

1 cup = 28/4 ounces

Therefore, the total weight of plant food Marcus uses in ounces is

Total weight = A * (28/4) ounces

By substituting A = lw, we get

Total weight = lw * (28/4) ounces

Total weight = 7lw ounces

Hence, the total weight of plant food Marcus uses to fertilize his garden is 7 times the product of the length and width of his garden, measured in yards.

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Carrie will have $15,481.24 after taxes for a year assuming she works 52 weeks.

First, let's calculate the total taxes she pays each week:

Federal income tax rate = 10% of $350.15 = $35.02

State income tax rate = 5% of $350.15 = $17.51

Total taxes per week = $35.02 + $17.51 = $52.53

Now, we can calculate the total amount of taxes she pays for a year:

Total taxes for a year = $52.53 x 52 weeks = $2,731.56

Amount Carrie will have after taxes for a year:

Annual income before taxes = $350.15 x 52 weeks = $18,212.80

Net income after taxes = Annual income before taxes - Total taxes for a year

Net income after taxes = $18,212.80 - $2,731.56 = $15,481.24

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--The complete Question is, Carrie Burnside is single, earns $350.15 weekly, and claims 1 allowance. If the federal income tax rate is 10% plus an additional 5% state income tax rate, how much will Carrie have after taxes for a year assuming she works 52 weeks? --

The solution to the system equation after it is solved, would be x = 3 and y = 7.

To solve the given system of linear equations:

8x - 3y = 3

3x - 2y = -5

We can use the method of substitution or elimination. In this case, I will use the elimination method.

First equation x 2:

16x - 6y = 6

Second equation x 3:

9x - 6y = -15

Now, subtract the second equation from the first equation to eliminate the y variable:

(16x - 6y) - (9x - 6y) = 6 - (-15)

16x - 9x = 21

7x = 21

x = 21 / 7

x = 3

Next, substitute the value of x back into either of the original equations to find the value of y.

8x - 3y = 3

8(3) - 3y = 3

24 - 3y = 3

-3y = -21

y = -21 / -3

y = 7

So, the solution to the system of equations is x = 3 and y = 7.

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The unknown number in the statement is 64/3.

The problem can be translated into an algebraic equation as follows:

(3/4)x - 6 = 10

where x is the unknown number we are trying to find.

To solve for x, we need to isolate it on one side of the equation. We can start by adding 6 to both sides:

(3/4)x = 16

Next, we can multiply both sides by the reciprocal of 3/4, which is 4/3:

x = (4/3) * 16

x = 64/3

Therefore, the solution to the equation is x = 64/3, which means that the unknown number is 64/3.

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