The 7 percent annual coupon bonds of TPO, Inc. Are selling for $1,021. The bonds have a face value of $1,000 and mature in 6.5 years. What is the yield to maturity?

Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

Answer:

x^3-3x=0

+3x

x^3=3x

ok so that means that that number cubed is the same as a number squared so

x = 0

x = -sqrt(3)

x = sqrt(3)

im going say the answer is mostly likely 0 but it could be the other ones

Hope This Helps!!!

Answer:

x = 0 , x = √3

Step-by-step explanation:

x^3 - 3x = 0​

x(x²-3) =0

x =0 , x²-3 =0

x = 0 , x² = 3

x = 0 , x = √3

Answer:

I'm not 100% sure what this question is asking

Step-by-step explanation:

It looks like the triangle with the ' above each letter is a transformation from the blue triangle. In other words, the this transformation shows the original triangle being moved one space down and two spaces left.

The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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Answer: I think it is C

Step-by-step explanation: 32/4=8 so 1 cm = 8km

Answer:

The answer is C i got it right i am not lieing

Step-by-step explanation:

On Wednesday the hiker had the greatest elevation of 8.74 km.

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, Elevation represents the distance from sea level.

Positive numbers represent elevations that are above sea level and negative numbers represent elevations that are below sea level.

We know distance is always positive so if we look through the table on Wednesday the hiker has hiked - 8.75 km,

Now modulus of - 8.75 is | - 8.75 | = 8.75, so on Wednesday the hiker has the greatest distance covered.

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Answer:

13.2 gallons

Step-by-step explanation:

286/260 *12 = 13.2

Answer:

about 13.2 gallons

Step-by-step explanation:

Easy way to calculate.

12 gallons divided by 260 miles

Take that answer and multiply it by 286.

The total vertical change after travelling horizontal distance 516 feet is equal to 370 feet.

Monongahela Incline slope is equal to = 18.5 / 25.8

This implies that after traveling a horizontal distance of 25.8 it rise upto 18.5.

To ride up the funicular total travelling at the top is equal to,

25.8 Horizontal change = 18.5 vertical change

⇒ 1 horizontal change = ( 18.5 / 25.8 ) vertical change

⇒ 516 feet horizontal change = 516 feet × ( 18.5 / 25.8 ) vertical change

                                                  = 370 feet.

Therefore, the total vertical distance while travelling at the top of the funicular is equal to 370 feet.

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Answer:

a

Step-by-step explanation:

Answer:

28 dozen.

Step-by-step explanation:

84 = 7*12 = 7 dozen.

4 * 7 = 28.

Answer: 108 feet

Step-by-step explanation: (135.5-27.5) = 108 feet

Answer:

1250 g

Step-by-step explanation:

12.5% of 10 kg

12.5% of 10000 g

.125 of 10000 g

.125 * 10000 g

1250 g

Answer:

Step-by-step explanation:

\( \frac{12.5}{100} \times 10kg = x \: grams\)

\(1.25kg = 1250 \: grams\)

Answer:

36 percent

Step-by-step explanation:

hi again

Answer:

36 percent

Step-by-step explanation:

There are a total of 25 muffins.

9 out of 25 muffins that were sold were carrots.

Divide 25/9 and you get 0.36

Multiply that by 100 and you get 36.

So %36 were carrot

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Answer:

1.90 I believe this is the answer. Hope this helps! Have a great day!

Answer:

Step-by-step explanation:

\(\frac{2}{3}\)(y + 57) = 178

distribute \(\frac{2}{3}\) into the parentheses

\(\frac{2}{3}\)y + 38 = 178

      -38    -38

\(\frac{2}{3}\)y = 140

multiply both sides by the reciprocal of \(\frac{2}{3}\) which is \(\frac{3}{2}\)

( \(\frac{3}{2}\) ) \(\frac{2}{3}\)y = 140(     \(\frac{3}{2}\) )

\(\frac{2}{3}\) is cancelled out with only y remaining on the left side

y = 210

All the possible values of x are given as follows:

26 < x < 28.

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

If 27 is the greater side, we have that:

x + 1 > 27

x > 26.

If x is the greater side, we have that:

x < 27 + 1

x < 28.

Hence the interval of possible values is given as follows:

26 < x < 28.

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Answer:

-24

Hope that this helps!

There were total 276 guests in the wedding that Joy organised.

Given,

fraction of the guest that chose beef = 1/3

fraction of the guest that chose chicken = 5/12

fraction of the guest that chose vegetarian = 1  - 1/3 - 5/12 = 1/4

we are asked to find the total number of guests in the wedding:

guests that chose vegetarian = 1/4

guests that chose vegetarian = 69

1/4 of the guest = 69

4/4 of the guest = 69 x 4 = 276

Hence there are total 276 guests in the wedding.

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The option that would have the same value as required is option A.

Equivalent exponents are any two or more exponents that, when added to a base number, produce the same value or result. In other words, equivalent exponents are various ways of expressing the same exponentiation-based mathematical action.

We now have that;

\((49^2/5) (7^- 3/4)\\(7^2)^2/5 (7^-3/4)\\(7^4/5) (7^-3/4)\\7^ (4/5 - 3/4)\\7^ 1/20\)

Thus the correct expression is the one that is shown in option A above here.

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The side lengths x and y of the right triangle are (5√2)/2 and (5√2)/2.

The figure in the image is a right triangle.

To solve for the values of x and y, we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Plug in the values

sin( 45 ) = x / 5

x = sin( 45 ) × 5

x = (√2)/2 × 5

x =  (5√2)/2

Next, we solve for y.

Cosine = Adjacent / Hypotenuse

cos( 45 ) = y / 5

y = cos( 45 ) × 5

y = (√2)/2 × 5

y =  (5√2)/2

Therefore, the value of x is (5√2)/2 and y is (5√2)/2.

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The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus

The vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.

The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)

In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.

It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.

In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.

The shape with the vertices is a rhombus.

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The given function defines an inner product on R2.  To verify if the given function defines an inner product on R2.

It must satisfy the following properties:

Linearity in the first argument: u, av + bw = a(u,v) + b(w,v) for all vectors u,v,w in R2 and scalars a,b in R.

Conjugate symmetry: (u,v) = (v,u) for all u,v in R2.

Positive-definiteness: (u,u) > 0 for all non-zero u in R2, and (0,0) = 0.

Using these properties, we can determine if the given function is an inner product:

First, we can check linearity in the first argument:

(u, av + bw) = 9u1(av1 + bw1)u2(av1 + bw1) + u1(av2 + bw2)u2(av1 + bw1) + u1(av1 + bw1)u2(av2 + bw2) + 9u2(av2 + bw2)

= a(9u1v1u2v1 + u1v2u2v1 + u1v1u2v2 + 9u2v2) + b(9u1w1u2v1 + u1w2u2v1 + u1v1u2w2 + 9u2w2)

= a(u,v) + b(u,w)

Therefore, the function is linear in the first argument.

Next, we check for conjugate symmetry:

(u,v) = 9u1v1u2v1 + u1v2u2v1 + u1v1u2v2 + 9u2v2

(v,u) = 9u1v1u2v1 + u2v2u1v1 + u2v1u1v2 + 9u2v2

Since (u1v2u2v1) and (u2v1u1v2) are equal, the function satisfies conjugate symmetry.

Finally, we check for positive-definiteness:

(u,u) = 9u1^2u2^2 + u1u2u2u1 + u1^2u2^2 + 9u2^2

Since the function evaluates to a sum of squares and a constant, it is always positive for non-zero vectors u.

Therefore, the given function defines an inner product on R2.

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4 x 7 = 28

6 x 7 = 42

42 is the answer UvU

Answer:

76 jelly beans total

Step-by-step explanation

4 x 8 = 28

6 x 8 = 48

28 + 48 = 76

Without specific data on the number of students who prefer each option, we cannot calculate the probability.

To determine the probability that a student prefers the zoo or the water park, we need to know the total number of students and the number of students who prefer each option. Without this information, it is not possible to calculate the probability accurately.

To calculate the probability, we would need to divide the number of students who prefer the zoo or the water park by the total number of students. For example, if there are 50 students in total and 30 prefer the zoo and 20 prefer the water park, the probability would be:

P(prefer zoo or water park) = (30 + 20) / 50 = 50 / 50 = 1

However, without specific data on the number of students who prefer each option, we cannot calculate the probability.

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Answer:

y = 1/3x - 2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   x - 3y = 6

Step 2: Rewrite

Find Slope-Intercept Form

Answer:

1/3x-2

Step-by-step explanation:

Slope intercept form is y=mx+b

So change this to that form x-3y=6

-3y=-x+6 now divide both sides by -3

y=1/3x-2

The required probability is 0.325 or 32.5%.

Event A and B are independent. Suppose P(B) = 0.4 and P(A and B) = 0.13.

Given: P(B) = 0.4P(A and B) = 0.13

Formula used: We know that when two events A and B are independent, then P(A and B) = P(A) × P(B)

Hence, the formula for finding P(A) can be given by:P(A) = P(A and B) / P(B)

Now, let's put the given values in the formula:P(A) = 0.13 / 0.4P(A) = 0.325

So, the probability of event A is 0.325 or 32.5% (approx).

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The population mean time on death row is different than 15 years with p value is 0.0002.

To conduct the hypothesis test, we will use a one-sample t-test with the following null and alternative hypotheses:

Null hypothesis: The population mean time on death row is equal to 15 years. μ = 15

Alternative hypothesis: The population mean time on death row is different than 15 years. μ ≠ 15

We will use a significance level of 0.05.

First, we need to calculate the t-value:

t = (x - μ) / (s / √n)

t = (17.4 - 15) / (6.3 / √75)

t = 3.667

Next, we need to find the degrees of freedom:

df = n - 1

df = 74

Using an online calculator for the t-distribution, we find that the p-value for a two-tailed test with a t-value of 3.667 and 74 degrees of freedom is less than 0.00015 (or 0.0002 when rounded to 4 decimal places).

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population mean time on death row is different than 15 years.

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Answer:

the 2 numbers are 38 and 24

Answer:

24 and 38

Step-by-step explanation:

If we assign the variables x and y to the two numbers we can set up two equations,

x+y = 62

x = y + 14

Substituting the second equation into the first,

(y+14)+y = 62

2y + 14 = 62

subtract 14 on both sides

2y = 48

divideboth sides by 2

y = 24

If y = 24, then x = 38 because x is 14 more than y.

He may keep 82 movies on each shelf, using up to 492 movies and leaving 3 movies to retain.

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. Arithmetic operators carry out operations on numbers. Variables are assigned values using assignment operators. Logical operators compare two values and return either "true" or "false" depending on whether the comparison is true (or false).

Here,

Movies that movie store has=495 movies

Number of shelves=6

If the owner wanted to make sure each shelf had the same number of movies,

=495/6

=82.5

He can keep 82 movies in each shelf that will use up to 492 movies and 3 movies will be left to keep.

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