When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets home. Draw a graph to represent this situation?

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

0.133

Step-by-step explanation:

12+18=30 7$per square inch 4÷30=0.133

The slope represents the rate of change of cost with respect to the number of people

y-intercept represents the cost when there are no people (Number of people=0)

What is the slope?

A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).

The general slope intercept form of a line is y=mx+b.

The equation y=25x+100 gives m=25, b=100

where m is the slope and b is the y-intercept.

The slope is the change in y values with respect to x values.

From the graph, we can conclude that the rate of change of y values with respect to x values is 25.

This means the slope represents the rate of change of cost with respect to the number of people

From the graph, we have y= 100 at x=0

This means the cost when there are no people is 100.

The y-intercept is the value of y at x=0.

y-intercept represents the cost when there are no people (Number of people=0)

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Answer:

In the scenario, the slope represents the cost of food per person

In the scenario, the y-intercept represents the cost of renting the building

Step-by-step explanation:

I just did it

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

To find the range, we need to subtract the smallest number from the largest number in the sample. So, the range is:

94 - 15 = 79

To find the sample variance and standard deviation, we first need to find the mean of the sample. We can do this by adding up all the numbers and dividing by the total number of players:

(33 + 74 + 70 + 65 + 56 + 47 + 39 + 72 + 57 + 94 + 15) / 11 = 54.18

Next, we need to find the difference between each number and the mean, square them, and add them up. This gives us the sum of squares:

[(33 - 54.18)^2 + (74 - 54.18)^2 + (70 - 54.18)^2 + (65 - 54.18)^2 + (56 - 54.18)^2 + (47 - 54.18)^2 + (39 - 54.18)^2 + (72 - 54.18)^2 + (57 - 54.18)^2 + (94 - 54.18)^2 + (15 - 54.18)^2] = 15864.4

The sample variance is then calculated by dividing the sum of squares by the total number of players minus one:

15864.4 / 10 = 1586.44

Finally, we can calculate the sample standard deviation by taking the square root of the variance:

√1586.44 ≈ 39.83

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

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Hope it helps.

Do comment if you have any query.

Let's start off with  1. 3/10 * 5/7

3/10×5/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(3×5) / (10×7) = 15 / 70

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using

GCF(15,70) = 5

(15÷5)/ (70÷5)=3/14

Therefore:

3/10×57=3/14

Now, #2. 7/10 * 2/4- We do the same process.

7/10×2/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(7×2) / (10×4)=1440

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using

GCF(14,40) = 2

(14÷2) / (40÷2) = 7/20

Therefore:

7/10×2/4=7/20

Hope this helps!

Answer:

95 degrees

Step-by-step explanation:

Measure of arc AB is 360 - (101+97+69) = 360 - 267 = 93 degrees.

Measure of arc DAB is 97+93 = 190 degrees, so measure of angle C is 190/2 =  95 degrees.

An 1 οr perhaps an even integer will be drawn back 75% οf the times frοm the set οf 1, 2, 3 and 4. Thus, Prοbability P(nοt even) is 75%.

Prοbability is the likelihοοd that sοmething will οccur οr the prοbability that sοmething will happen. Prοbability is the measure οf hοw prοbable it is that a cοin will land heads up after being tοssed intο the air.

As prοbabilistic arguments sοmetimes prοduce οutcοmes that appear cοntradictοry οr illοgical, prοbability is usually regarded as amοng the mοst challenging tοpics οf mathematics.

P(1) = 1/4(there is one card with a 1)

P(even) = 2/4 = 1/2 (there are 2 cards with even numbers out of 4)

Therefore,

P( 1 or even) =P(1) + P(even)

= 1/4 + 1/2

= 3/4

To express the answer as a percentage, we can multiply by 100:

P(1 or even) = 3/4 × 100%

=> 75%

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You pick a card at random. card 1, card 2 and card 3

What is P(not even)?

Write your answer as a fraction or percentage.

Answer:

38.65*.20=7.73

38.65+7.73=46.38

So the total bill is $46.38.

100-46.38=53.62

So she’ll receive $53.62 in change.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B

Answer:

1. x = 5

Remember that all angles add up to 180, and because you know that one of the angles = 90, you can add the other two angles like so.

6x + 15 + 10x - 5 = 90

2.

Angle 1 = 43 degrees

Angle 3 = 32 degrees

Answer:

9:thirty one

Step-by-step explanation:

Add 46 twenty and 5three then add the answer in 7:thirty

The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.

What is the quotient?

A quotient is defined as when dividing one number by another, the result is called the quotient.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given a variable c therefore, the translation of the given equation :

six more than can be expressed as 6+ or +6.

A quotient, commonly known as c/7, is the solution to a division issue and can also be a fraction.

and "equals 5" is clearly equal to 5 or =5, hence the result is 6 + (c/7) = 5.

The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.

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The rate of change of revenue per unit is $36.25 per $1 change in cost per unit. To find the change in revenue per unit when the cost per unit is changing by $12, we can multiply the rate of change by 12.

To find the rate of change of revenue per unit, we need to take the derivative of the cost equation with respect to revenue since the question asks for the change in revenue.
\(\frac{dC}{dR} = \frac{2R}{290,000}\)

Next, we can substitute the given values of cost and revenue to find the rate of change.
\(\frac{dR}{dC} = \frac{1}{\frac{dC}{dR}}\)

When cost per unit is changing by $12, we can find the new cost per unit by adding $12 to the original cost equation.
\(C = \frac{R^{2}}{290,000} + 3489 + 12\)
\(C = \frac{R^{2}}{290,000} + 3501\)

Substituting this new cost per unit and the given revenue of $4,000, we can solve for the rate of change.

\(\frac{dR}{dC} = \frac{1}{\frac{2R}{290,000}}\)

\(\frac{dR}{dC} = \frac{145,000}{R}\)

\(\frac{dR}{dC} = \frac{145,000}{4,000}\)

\(\frac{dR}{dC} = 36.25\)

Therefore, the rate of change of revenue per unit is $36.25 per $1 change in cost per unit. To find the change in revenue per unit when the cost per unit is changing by $12, we can multiply the rate of change by 12.
\(36.25 \times 12 = 435\)
So the answer is D, $435.00.

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Complete Question:

A company knows that unit cost C and unit revenue R from the production and sale of x units are related by

\(C = \frac{R^{2}}{290,000} + 3489\)

Find the rate of change of revenue per unit when the cost per unit is changing by $12 and the revenue is $4,000.

A. $391.95

B. $240.00

C. $348.90

D. $435.00

Answer:

Either do 28+28+28, etc. 38 times, or follow the diagram I attached.

If you want to know more about what I did in the attachment, just ask <3

Answer:

Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.

Step-by-step explanation:

Answer:

diameter = the distance from one edge of the circle, through the center, to the other edge

pi = long irrational number commonly written as 3.14

circle = a 2d shape where all points are the same distance from the center

radius = the distance from the center of a circle to the outer edge

circumference = the length of the outside of a circle or a circle's perimeter

hope that helps

The equation to represent the sum of the angles in degrees is, x + (2x + 5) = 180  or  3x + 5 = 180.

Equation simplification refers to the process of reducing a given equation to its simplest or most basic form. This involves manipulating the equation algebraically by performing operations such as combining like terms, distributing, factoring, and canceling out common factors.

Let's call one of the angles "x" degrees. Then, according to the problem statement, the other angle is "five degrees more than twice the other angle", which can be written as 2x + 5 degrees.

Since the sum of the two angles is 180°, we can write an equation:

x + (2x + 5) = 180

Simplifying the left-hand side:

3x + 5 = 180

Subtracting 5 from both sides:

3x = 175

Dividing both sides by 3:

x = 175/3

Therefore, the equation to represent the sum of the angles in degrees is x + (2x + 5) = 180  or  3x + 5 = 180.

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The correct graph is the first one.

Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.

It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Questions that require responses at fixed intervals along a scale of answers are called scale questions.

Closed-ended questions, such as the Likert Scale, are one of the most popular methods for gauging public opinion. To gauge people's opinions, attitudes, and beliefs, they employ psychometric testing. Statements are used in the questions, and respondents are asked how much they agree or disagree with each assertion. Likert Scale questions typically have a scale from 0 to 10, while shorter scales are also conceivable.

Every sort of research has benefits and drawbacks, and this particular question type has both in spades. The fundamental benefit of Likert Scale questions is that they follow a standard way of data collection, making them simple to comprehend.

Hence, according to the definition questions that require responses at fixed intervals along a scale of answers are called scale questions.

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EXPLANATION:

Given;

We are given a parallel pair of lines m and n, and a transversal that cuts both lines.

Required;

We are required to find the value of x.

Step-by-step solution;

When a pair of parallel lines are cut by a transversal, the angle formed by the point of intersection of one line and the transversal is equal to that formed by the other line and the transversal when they both lie on the same side of the transversal.

This means on the diagram given;

This means angle 167 on line n is equal to angle 167 on line m. These are called corresponding angles.

The same applies to angle x on the line m and the other angle on line n. They both are also corresponding angles.

Next, take note that angles that lie on either side of a vertex where two lines intersect are called vertically opposite angles (or just opposite angles).

Therefore, angle x = 167 and angle 167 = x.

ANSWER:

Rodger's weekly unemployment amount is $697.54

What is the total of the quarterly wages of two consecutive quarters?

The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages

total of quarterly wages=$13,950.80+$13,950.80

total of quarterly wages=$27,901.60

unemployment compensation=total of quarterly wages/26

unemployment compensation=$27,901.60 /26

unemployment compensation=$1,073.14

The weekly unemployment amount is 65% of Rodger's state, unemployment compensation

weekly unemployment=65%*$1,073.14

weekly unemployment=$697.54

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Answer:

\(k=3j+6\)

Step-by-step explanation:

We can setup an equation in terms of k and j:

\(k=3j+6\)

We get this equation because there are 6 more than 3 times the Crockford cars in the Robinson dealership. We see that the equation already is the value of k in terms of k, so we have our answer.

To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = (M * c) / (I * y)

Where:

σ is the bending stress

M is the bending moment

c is the distance from the neutral axis to the outermost fiber

I is the moment of inertia of the cross-section

y is the perpendicular distance from the neutral axis to the point where the stress is being calculated

Given:

M = -1000 lbf.in

σ = 32 kpsi = 32,000 psi

Strength = 25 kpsi

Design factor = 2.5

First, we need to convert the bending moment to pound-force feet (lbf.ft):

M = -1000 lbf.in = -83.33 lbf.ft (1 lbf.in = 0.0833 lbf.ft)

Next, we can rearrange the bending stress formula to solve for the moment of inertia (I):

I = (M * c) / (σ * y)

Since we are looking for the minimum diameter, we want to minimize the moment of inertia. This occurs when the rod is a solid cylinder with its maximum diameter.

The moment of inertia of a solid circular rod is given by the formula:

I = (π * d^4) / 64

Substituting the formulas and given values, we can solve for the minimum diameter (d):

(π * d^4) / 64 = (M * c) / (σ * y)

d^4 = (64 * M * c) / (π * σ * y)

d = ∛((64 * M * c) / (π * σ * y))^0.25

Once we have the minimum diameter (d), we can select a preferred fractional diameter from the table provided and calculate the resulting factor of safety using the formula:

Factor of Safety = (Strength * Design Factor) / σ

Please provide the values of c, y, and the preferred fractional diameter from the table so that I can help you with the calculations.

The minimum diameter of the rod is approximately 1.37 inches.A preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

a) To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = M / (0.25 * π * (d^3))

Rearranging the formula, we have:

d^3 = M / (0.25 * π * σ)

Substituting the given values, we get:

d^3 = 1000 / (0.25 * π * 32)

Solving for d, we find:

d ≈ 1.37 inches

Therefore, the minimum diameter of the rod is approximately 1.37 inches.

b) To select a preferred fractional diameter and calculate the resulting factor of safety, we need to compare the calculated stress with the material strength and design factor.

Given the stress σ = 32 kpsi and a material strength of 25 kpsi, we can calculate the factor of safety:

Factor of Safety = (Material Strength) / (Design Stress)

Factor of Safety = 25 / 32

Factor of Safety ≈ 0.78125

Referring to the provided table, we can choose a preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

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Answer:

50th term = 157

Step-by-step explanation:

Explicit equation for the given table is,

y = 3x + 7

And recursive formula is,

Now = previous + 3

To find the 50th term explicit formula should be used because it will be very difficult to find all 50 terms with the use of recursive formula.

From explicit formula,

y = 3x + 7

y = 3(50) + 7

  = 157

Therefore, 50th term of the given table will be 157.

Answer:

FIRST NUMBER IS 20

AND

SECOND NUMBER IS 45

Step-by-step explanation:

LET THE RATIO BE X

FIRST NUMBER = 4X

SECOND NUMBER = 9X

A/Q,

=}4X - 5 / 9X - 5 = 3 / 8

CRISS CROSS,

=}8 ( 4X - 5 ) = 9X - 5 ( 3 )

=}32X - 40 = 27X - 15

=}32X - 27X = - 15 + 40

=}5X = 25

=}X = 25 / 5

=}X = 5

THEREFORE,

FIRST NUMBER

=} 4X

=} 5 × 4

=} 20

SECOND NUMBER

=} 9X

=} 5 × 9

=} 45

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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The formula you need to know is that the side opposite of the 30° angle is always half the hypotheneus. For example in question 2 X should be 6 since 3 is opposite side of the angle 30°. In a 45 45 90 triangle, it is important to know that the straight sides are always the same length (since they are the same angle). For example in question 9, v is also 9√2.

When you have two sides, you can figure out the third side with a² + b² = c² since they are all right triangles. Good luck

Answer: 20,25,40

Step-by-step explanation:

20,25,40

Answer:

33% good luck!

Step-by-step explanation:

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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