for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .

For the Yoko Fund, the Treynor ratio is 6.0%, although none of the answer choices provided is a close approximation, we can choose option c. 6.750

The Treynor ratio measures the excess return earned by an investment per unit of systematic risk (i.e., beta). It is calculated as the difference between the return of the investment and the risk-free rate, divided by the investment's beta.

The formula for the Treynor ratio is:

Treynor Ratio = (Return of the Investment - Risk-Free Rate) / Beta

In this case, the return of the Yoko Fund is 11.2%, the risk-free rate is 3.1%, the beta is 1.20, and we are given the standard deviation of the Yoko Fund's returns, which is 17.5%.

Using the formula, we get:

Treynor Ratio = (11.2% - 3.1%) / 1.20

= 6.0%

Therefore, the Treynor ratio for the Yoko Fund is 6.0%.

None of the answer choices is exactly equal to 6.0%, but the closest one is (c) 6.750.


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The volume of the solid obtained by rotating the region bounded by the given curves about the y-axis is 8π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=0, and x=2 about the y-axis, we can use the disk method.

The steps are as follows:

STEP 1. Identify the radius of the disk:

Since the solid is obtained by rotating around the y-axis, the radius of the disk is the x-value.

To get the x-value in terms of y, solve the equation

y=x^2 for x: x = sqrt(y).

STEP 2. Set up the volume integral:

The volume of the solid is given by the integral of the cross-sectional area of the disks.

The area of a disk is A = πr^2, where r is the radius. In this case, r = sqrt(y), so A = π(sqrt(y))^2 = πy.

We will integrate this area function along the y-axis, from the lowest to the highest y-value on the curve.

The lowest y-value is y=0, and the highest y-value is given by y = (2)^2 = 4 (since x=2).

STEP 3. Evaluate the integral:

The volume integral is given by V = ∫[0, 4] πy dy.

To evaluate this, we find the antiderivative of πy:

(π/2)y^2.

Now, we apply the Fundamental Theorem of Calculus:
V = [(π/2)(4)^2] - [(π/2)(0)^2] = (π/2)(16) = 8π.

So, the volume of the solid obtained by rotating the region bounded by the given curves about the y-axis is 8π cubic units.

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Answer: 18.75%

Step-by-step explanation:

To find the percent increase, we need to calculate the difference between the new speed and the old speed, divide that by the old speed, and then multiply by 100 to get the percentage increase.

The difference between the new speed and the old speed is:

38 - 32 = 6

To find the percentage increase, we divide the difference by the old speed and multiply by 100:

(6 / 32) x 100 = 18.75%

Therefore, Matt's typing speed increased by 18.75%.

The experimental probability of landing on blue is found by dividing the number of times blue was landed on by the total number of spins.

Experimental probability of landing on blue = Number of times blue was landed on / Total number of spins

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Therefore, the experimental probability of landing on blue is 4/9 or approximately 0.444 or 44.4% (rounded to the nearest tenth or percentage).

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Answer:

Apparently it's 4800 according to desmos.

Step-by-step explanation:

Step-by-step explanation:

x y

-3 150

-2 300

-1 600

0 4800

As you can see, for negative values of x, the area burned becomes smaller and smaller as x becomes more negative. This is because the equation y = 4800(2)^x has a base of 2, which means that as x becomes more negative, 2^x becomes smaller and smaller, causing y to become smaller and smaller as well.

The given series diverges to negative infinity as the terms cancel out, leaving only two terms at the beginning and end of the series.

To determine the convergence of the given series, we can use the telescoping series method.

Let's write out a few terms of the series to see if we can spot a pattern:

n=1: 1/2 - 3/4 = -1/4

n=2: 2/3 - 4/5 = -2/15

n=3: 3/4 - 5/6 = -1/8

n=4: 4/5 - 6/7 = -2/35

...

We can see that the terms of the series cancel out, leaving only two terms at the beginning and end of the series. Therefore, we can write the series as:

∑ (n/n+1 - n+2/n+3) = 1/2 - (n+2)/(n+3)

As n approaches infinity, the second term approaches 1, so the series diverges to negative infinity.

Therefore, the given series diverges.

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_____The given question is incomplete, the complete question is given below:

Which of the series in exercises 17–56 converge, and which diverge? use any method, and give reasons for your answers

(∑ ∞ to n = 1) = (n/n+1 - n+2/n+3)

The surface area of the playhouse is 564 square feet.

Frank is building a playhouse for his daughter.

The playhouse is a composite figure with a floor and no windows.

The playhouse is a rectangular prism and a triangular prism.

The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh,

where l is the length,

w is the width,

and h is the height.

Therefore, the surface area of the rectangular prism portion of the playhouse can be calculated by substituting the given values into the formula.

Surface area of the rectangular prism = 2lw + 2lh + 2wh

For the rectangular prism, l = 10 feet, w = 8 feet, and h = 6 feet.

Substituting the values in the formula.

Surface area of the rectangular prism

= 2lw + 2lh + 2wh

= 2 (10 feet × 8 feet) + 2 (10 feet × 6 feet) + 2 (8 feet × 6 feet)

= 160 feet2 + 120 feet2 + 96 feet2= 376 feet2

The surface area of the rectangular prism of the playhouse is 376 square feet.

The formula for the surface area of a triangular prism is 2lw + lh + ph,

where l is the length, w is the width, h is the height, and p is the slant height.

Therefore, the surface area of the triangular prism portion of the playhouse can be calculated by substituting the given values into the formula.

Surface area of the triangular prism = 2lw + lh + ph

For the triangular prism, l = 8 feet, w = 5 feet, h = 6 feet, and p = 10 feet.

Substituting the values in the formula.

Surface area of the triangular prism = 2lw + lh + ph= 2 (8 feet × 5 feet) + (8 feet × 6 feet) + (10 feet × 6 feet)= 80 feet2 + 48 feet2 + 60 feet2= 188 feet2

The surface area of the triangular prism of the playhouse is 188 square feet.

The total surface area of the playhouse can be found by adding the surface area of the rectangular prism and the surface area of the triangular prism.

Surface area of the playhouse = surface area of rectangular prism + surface area of triangular prism.

= 376 square feet + 188 square feet

= 564 square feet.

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the expectation of buying one ticket is $2

Expectation if a person buys one ticket A person is interested in buying a ticket for a lottery that offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. The expected return is calculated using the following formula:

Expectation = (Probability of winning Prize 1 × Value of Prize 1) + (Probability of winning Prize 2 × Value of Prize 2) + (Probability of winning Prize 3 × Value of Prize 3)To determine the expectation, we must first determine the probability of winning each of the three prizes.

Since one thousand tickets are sold and only one person can win the first prize, the probability of winning the $1000 prize is 1/1000 or 0.001. Similarly, the probability of winning the $500 prize is 1/1000 or 0.001. Since five $100 prizes are available and only one person can win each prize, the probability of winning any one of the five $100 prizes is 5/1000 or 0.005.

Therefore, the expectation is calculated as follows: Expectation = (0.001 × $1000) + (0.001 × $500) + (0.005 × $100)Expectation = $1 + $0.50 + $0.50Expectation = $2Thus, the expectation of buying one ticket is $2. This means that the average value of a ticket is $2, and a person can expect to win $2 on average by purchasing a ticket. Since the cost of a ticket is $3, the expected return is less than the cost of the ticket, and therefore, it is not a good investment from a financial standpoint.

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The equation has a solution of -1

Algebraic expressions are defined as those expressions that are made up of variables, constants, factors, coefficients and terms.

They are also composed of mathematical operations, such as;

Also, note that linear equation are equations having the greatest degree of  x as 1.

An equation having a solution would have the x value.

From the equation given, we have that;

2x+2=x+1

collect the like terms

2x - x =1 - 2

subtract the values

x = - 1

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The height of the trapezoid is 7 ft.

The formula for the area of a trapezoid is:

A = 1/2 * (a + b)h

where A is the area, a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).

Given A = 24.5 ft², a = 3 ft and b = 4 ft. We can solve for h. That is:

A = 1/2 * (a + b)h

24.5 = 1/2 * (3 + 4)h

24.5 = 1/2 * (7)h

24.5 = 3.5h

h = 24.5/3.5

h = 7 ft

Therefore, the height of the trapezoid is 7 ft.

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From the given information provided, the value of fog(3) and fog(4) is 0.971 and 27/40 respectively.

a) To find fog(3), we first need to find g(3) and then evaluate f(g(3)).

To find g(3), we substitute x=3 into the formula for g(x):

g(3) = (5(3) - 2)/(3 + 2) = 13/5

Now, we can evaluate f(g(3)) by substituting g(3) into the formula for f(x):

f(g(3)) = f(13/5) = 3(13/5)² / (4(13/5)² + 4) = 0.971

Therefore, fog(3) = 0.971.

b) To find fog(4), we follow the same process. First, we find g(4):

g(4) = (5(4) - 2)/(4 + 2) = 18/6 = 3

Now, we can evaluate f(g(4)) by substituting g(4) into the formula for f(x):

f(g(4)) = f(3) = 3(3)² / (4(3)² + 4) = 27/40

Therefore, fog(4) = 27/40.

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The expression that best represents the total cost of the charter bus for the field trip is 12n + 50

The total cost of the charter bus for the field trip consists of a $50 reservation fee and an additional $12 per student.

If n represents the number of students going on the field trip, then the expression for the total cost can be written as:

Total cost = 12n + 50

This expression represents the variable cost of the charter bus, which depends on the number of students going on the field trip.

The fixed cost of $50 is added to the variable cost to give the total cost.

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The linear equation in standard form is 19x - 14y = -182.

What is Linear equation?

A linear equation is a mathematical equation that describes a straight line on a graph. In other words, it is an equation that relates a variable or variables to a constant through a linear function, where the highest power of the variable is one. A general form of a linear equation is:

y = mx + b

To write the linear equation in standard form Ax + By = C, where A, B, and C are integers and A is positive, we need to get rid of the fraction in the equation.

To do this, we can multiply both sides of the equation by the denominator of the fraction, which is 14. This gives:

14y = 19x + 182

Next, we can rearrange this equation by subtracting 19x from both sides:

-19x + 14y = 182

Finally, we can multiply both sides of the equation by -1 to make the coefficient of x positive:

19x - 14y = -182

So, the linear equation in standard form is 19x - 14y = -182.

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Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle and π is a mathematical constant approximately equal to 3.14159.

In this case, the diameter of the circle is 58, so we can substitute this value into the formula:

C = πd

C = π(58)

C ≈ 182.09

Therefore, the circumference of the circle with diameter 58 is approximately 182.09 units. Note that the units of measurement were not specified in the question, so the units of the answer will depend on the units used for the diameter.

Answer:

Step-by-step explanation:

Hence, the answer is (4, 3, 1).In conclusion The answer provided above is concise and ng factually correct, and it addresses the question directly.

In order to determine the number of total electron groups, bondiroups, and lone pairs for geometry (a), we need to use the VSEPR theory. According to this theory, the electron groups around a central atom in a molecule will arrange themselves in a way that minimizes their repulsion. The total number of electron groups includes both the bonding and lone pairs of electrons.To determine the number of electron groups for geometry (a), we first need to determine the molecular geometry of the molecule.

From the given name, we can assume that geometry (a) is tetrahedral. In a tetrahedral molecule, there are four electron groups: three bonding groups and one lone pair. Therefore, the number of total electron groups for geometry (a) is four, the number of bonding groups is three, and the number of lone pairs is one.

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Answer:

The slope of the line passing through the points (1, -1) and (4, 8) is 3.

Step-by-step explanation:

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the following formula:

[tex]slope = (y2 - y1) / (x2 - x1)[/tex]

Here, the given points are (1, -1) and (4, 8). So,

[tex]slope = (8 - (-1)) / (4 - 1) = 9 / 3 = 3[/tex]

Therefore, the slope of the line passing through the points (1, -1) and (4, 8) is 3.

The height of the density curve for the given graph is 1/4.

A density curve is an idealised depiction of a distribution in which the area under the curve is defined to be 1. Although normality is not required, the normal density curve will be the most helpful to us. The "shape" of a distribution, including whether or not it includes one or more "peaks" of often occurring values and whether it is skewed to the left or right, may be determined using a density curve.

For a density curve the area under the curve must be equal to 1.

That is,

base (height) = 1

Here, the base = 4 units

Substituting the value we have:

(4) height = 1

height = 1/4

Hence, the height of the density curve is 1/4.

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The area of the pie is approximately 113.0 square inches.

The ratio of a circle's circumference to its diameter is denoted by the mathematical constant pi . It is roughly equivalent to 3.14159 and is not repetitive or terminal. As pi is an irrational number, it cannot be written as an exact fraction of two integers and its decimal representation never ends. Pi is used to compute the characteristics of circles, spheres, cylinders, and other curved objects in many branches of mathematics and science, including geometry, trigonometry, calculus, physics, and engineering.

The area of the circle is given as:

A = πr²

Here, diameter = 12, thus radius is 6 inches.

Substituting the values:

area = 3.14 x (6)²

area = 113.04 square inches

Hence, the area of the pie is approximately 113.0 square inches.

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Answer:

1+2=90° .so complementary angle

The range of scores is 0 to 10. Since everyone in the class scored 6 out of 10, the lowest possible score is 0 and the highest possible score is 10.

The range is the difference between the highest and the lowest of the  given scores. In this case, it's 4 (10-6).

Therefore, the range of scores is 0 to 10. It is important to note that the range is a measure of the spread of scores in a dataset, and in this case, the spread is from the lowest possible score of 0 to the highest possible score of 10.

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The second urn contains 16 green balls and 46 blue balls.

Let's first find the probability of drawing two green balls, which we'll denote as P(G,G).

We can break it down into two cases:

Case 1: A green ball is drawn from the first urn and a green ball is drawn from the second urn.

The probability of drawing a green ball from the first urn is 4/10, and the probability of drawing a green ball from the second urn is 16/(16+N). Therefore, the probability of this case is (4/10) x (16/(16+N)).

Case 2: A blue ball is drawn from the first urn and a blue ball is drawn from the second urn.

The probability of drawing a blue ball from the first urn is 6/10, and the probability of drawing a blue ball from the second urn is N/(16+N). Therefore, the probability of this case is

(6/10) x (N/(16+N))

The probability of drawing two balls of the same color is the sum of the probabilities of these two cases, which we know to be 0.58:

P(G,G) + P(B,B) = 0.58

We can solve for P(G,G) as follows:

P(G,G) = 0.58 - P(B,B)

= 0.58 - (6/10) x (N/(16+N))

Now, we can set P(G,G) equal to the probability of drawing two green balls from the urns that we found earlier:

(4/10) x (16/(16+N)) = 0.58 - (6/10) x (N/(16+N))

By simplifying this equation, we get:

64 = 58(16+N) - 60N

By solving for N, we get:

N = 46

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Question:

An urn contains 4 green balls and 6 blue balls. A second urn contains 16

green and N blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same colour is 0.58. Find N.

Answer:

Step-by-step explanation:

The radical form for each expression is given as follows:

How to obtain the radical form of each expression?

The general format of the exponential expression is given as follows:

To obtain the radical form, we have that:

a is the radicand.

n is the exponent.

m is the root.

Hence the radical form of the exponential expression is given as follows:

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The probability that the student will finish her trip in 60 minutes or less is 0.4

To find the probability that the student will finish her trip in 60 minutes or less, we need to find the proportion of the total area under the uniform distribution curve that lies to the left of 60 minutes.

Since the travel time is uniformly distributed between 40 and 90 minutes, the probability density function is

f(x) = 1/(90-40) = 1/50, for 40 ≤ x ≤ 90

The probability of finishing the trip in 60 minutes or less is therefore

P(X ≤ 60) = ∫[40, 60] f(x) dx

= (60-40)/50

Do the arithmetic operations

= 0.4

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Answer:

Step-by-step explanation:

To find the difference between the temperatures, we need to subtract the night temperature from the day temperature.

Difference = Day temperature - Night temperature

Difference = 36.6°F - (-18.6°F) (Note: Subtracting a negative number is the same as adding the positive number)

Difference = 36.6°F + 18.6°F

Difference = 55.2°F

Therefore, the difference in temperature between day and night in the town is 55.2°F.

The information indicates that the correct answer is 9.76% annually.

The area of mathematics that deals with the characteristics of surrounding space, spatial interactions between distinct objects, and the shape of particular items.

It would take 19 years between 1996 and 2015 in all.

We are aware that the equation: gives a geometric mean of a collection of n positive numbers.

GM =  [tex]((x1)(x2)(x3).............)^{1/n}[/tex]

This would provide us with the product of these values' nth roots.

Thus, the following would be the formula indicating rate of rise over time: -

GM =  [tex](value at the end of the period / value at the start of the period)^{1/n} -1[/tex]

[value at the end of the period / value at the start of the period

Value at the conclusion of the time is equal to 241,364,256, hence the statement stands.

The initial value was 40,257,000.

n = 19

Using values, we obtain:

=[tex](241,364,256/40,257,000)^{1/19} -1[/tex]

= (5.995)1/19 - 1

= 0.0976

= 9.76% per year

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