Crystal bought a $750 bond with a 6.5% coupon that matures in 30 years. What are crystal’s total annual earnings for this bond?


A.$65.00


B.$75.00


C.$6.50


D.$48.75

Answer:

the width is 9 23/30 feet ≈ 9.767 ft

Step-by-step explanation:

Let w represent the width of the train car. Then 6 times the width is 6w, and 8 ft less than that is (6w-8). We are told this amount is 50.6 feet, so we have ...

6w -8 = 50.6

6w = 58.6 . . . . . . . add 8; next divide by 6

58.6/6 = w = 586/60 = 293/30 = 9 23/30 . . . . feet

This is a repeating decimal: 9.766666...

The width of the train car is 9 23/30 ft, about 9.77 ft.

17 yards. The fence that enclose Sondra's backyard is a right triangle whose sides measuring 8 yards, 15 yards and 17 yards  respectively.

The key to solve this problem is using the Pythagorean Theorem that dictates; In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs and the equation hypotenuse²=leg1²+leg2².

For this problem we know the measuring of two side, which mean that we can apply Pythagorean Theorem equation as follow:

Let's say that one of the side is a = 8yards, and the other side is b = 15yards. So, we want to know how long the third side c long.

Applying the Pythagorean Theorem:

[tex]c^{2} =a^{2}+b^{2}  \\c=\sqrt{a^{2}+b^{2}}[/tex]

Substituting the values of the sides a and b:

[tex]c=\sqrt{(8yards)^{2}+(15yards)^{2}}\\c=\sqrt{64yards^{2}+225yards^{2}}\\c=\sqrt{289yards^{2}}\\c=17yards[/tex]

Answer:

17 yds

Step-by-step explanation:

Lacking further info about this situation, I will assume that 8 yards and 15 yards represent the two legs of this right triangle, and not the hypotenuse.  If that's the case, then the hypotenuse is found by applying the Pythagorean Theorem:

(8 yd)² + (15 yd)² = hyp², or

64 yd² + 225 yd² = 289 yd²

Taking the square root of this result yields 17 yds.

The third side will be 17 yds long.

4. His percentage is 79% so making each shot is 79%

Multiply the percent for each shot for each shot:

Making two shots = 0.79 x 0.79 = 0.624 = 62.4% Round the answer to 62% if needed.

5. They have 4 different flavors and 6 different toppings.

a. Picking vanilla is 1 out of 4 = 1/4 and picking chocolate chips is 1 out of 6 = 1/6.

The probability of picking both is 1/4 x 1/6 = 1/24

b.  There are a total of 10 different things to pick.

Picking chocolate ice cream is 1 out of 10 = 1/10, picking marshmallow topping is 1 out of 10 = 1/10

Picking one or the other would be 2 out of 10 = 2/10 which reduces to 1/5

Answer:

4. 79%

5. 1/24 and 1/5 for part a and b

Answer:

  y = (1/2)|x -8| -3

Step-by-step explanation:

The first five points fall on a straight line with a slope of ...

  ∆y/∆x = -0.5/1 = -0.5

The last point is not on that line.

So, several options are available:

felix got 51 questions correct

ANSWER

[tex]- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

[tex] |v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]

[tex]v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]

[tex]v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2} [/tex]

The unit vector in the direction of this vector is

[tex] = \frac{v}{ |v| } [/tex]

[tex] = - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j[/tex]

[tex] = - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]

Answer:

11.7

Step-by-step explanation:

a^2+b^2=c^2

10^2+6^2=c^2

100+36=c^2

add 100+36=136

square root of 136 = 11.6619037897

= 11.7

Answer:

14

Step-by-step explanation:

largest prime number which is a factor of 42=7

smallest prime number which is a factor of 28=2

7x2=14

Answer:

14

Step-by-step explanation:

largest prime number which is a factor of 42=7

smallest prime number which is a factor of 28=2

7x2=14

Answer:

The standard deviation of the heights of the group of trees is 3 feet

Step-by-step explanation:

For a normal distribution, the z-score corresponding to a particular observed value is calculated as;

z-score = (observed value - mean) / (standard deviation)

The mean is given as 14.3

The z-score is 1.9

The observed value is 20 (the given height)

We can make the standard deviation to be the subject of the formula in the above equation;

standard deviation = (observed value - mean) / ( z-score)

We then substitute the given values into this equation;

standard deviation = [tex]\frac{20-14.3}{1.9}=3[/tex]

Answer:

  42 ft/s

Step-by-step explanation:

The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is (10+4)/2 = 7 ft/s^2, so the change in velocity is ...

  (7 ft/s^2)(6 s) = 42 ft/s

The velocity of the car at t=6 is 42 ft/s.

The velocity of the car at t=6 is 42 ft/s.

The change in velocity is given by the area under the curve from t=0 to t=6. The average acceleration over that period is [tex](10+4)/2 = 7 ft/s^2[/tex], so the change in velocity is ...

[tex](7 ft/s^2)(6 s) = 42 ft/s[/tex]

The velocity of the car at t=6 is 42 ft/s.

The original statement is true only if:

Options a and d are equivalent:

[tex]P\implies Q \iff \lnot Q \implies \not P[/tex]

and they both are true in the same cases as above.

Option c is also fine, because it is false only if both England and Africa are both countries, just like the original statement.

Option b, instead, is true only if neither of the two options are countries, so it doesn't cover the cases where only one of the two is a country.

Answer:

Both are cities smh ‍♂️

Step-by-step explanation:

Answer:   [tex]32\pi[/tex] cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

[tex]V_{cone}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

[tex]r=\frac{8units}{2}\\\\r=4units[/tex]

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

[tex]V_{cone}=\frac{1}{3}\pi (4units)^2(6units)[/tex]

[tex]V_{cone}=32\pi \ units^3[/tex]

Answer:

b. 32

Step-by-step explanation:

e2020 says so

Answer: 48 fl oz ( fluid ounces )

Explanation:

1 c = 8 fl oz

1 1/2 c = 12 fl oz

12 fl oz of milk × 4 Days =

48 fl oz in four days

Answer:

1040.70 is the answer

Step-by-step explanation:

that is the total

Answer:

$80.00

Step-by-step explanation:

The deposit slip shows the value Vera received. If you look closely at the right side of the ticket has a one table, next to the table, has the denomination of each field of the table. The penultimate denomination is called "Less cash received" that represents the amount Vera wants to receive directly from that check. That is, vera received 80.00 dollars.

Answer:

f(a) is the remainder of f(x)/x_a

so hence the remainder of 4×3- 5x2+3x-1/x-2 is (4.(2)^2) - (5.(2)^2) + (3.2) - 1 = 17

Answer:  D) 17

Step-by-step explanation:

You can use long division or synthetic division.  I will use synthetic division because it is the simplest and quickest method:

x - 2 = 0  -->  x = 2

2  |  4     -5     3     -1

   |  ↓      8     6     18

      4      3     9     17    ← REMAINDER

Answer: Less than

Step-by-step explanation:

2 3/4 yards equals 99 inches

the answer is Less than.

Answer:

tire A=39 revolutions

tire B=38 revolutions

tire C= 37 revolutions

Step-by-step explanation:

The question is on circumference

Tire A diameter = 15 +4.60+4.60=24.20 inches

Tire B diameter= 16+4.43+4.43=24.86 inches

Tire C diameter=17+4.33+4.33=25.66 inches

Finding the circumference/single revolution

Tire A = 2×3.14×24.20=151.98 inches

Tire B= 2×3.14×24.86=156.12 inches

Tire C=2×3.14×25.66=161.15 inches

Number of revolutions made

Track length=500 feet.............change feet to inches

500×12=6000inches

Revolutions for tire A= 6000/151.98 =39.47⇒39 revolutions

Revolutions for tire B=6000/156.12 =38.43⇒38 revolutions

Revolutions for tire C= 6000/161.15 =37.23⇒37 revolutions

Answer:

$277.91

Step-by-step explanation:

"The ​26-week average of the two highest salaried quarters of the year leading to her application" would be the average of $13,500 and $12,775, or

$13,500 + $12,775

---------------------------- = $13137.50

            2

Dividing this by 26 weeks (equivalent to 6 months), we get $505.29.

Nancy's weekly employment benefit would be 55% of that, or $277.91.

Answer: $555.82

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In slope intercept form, y = mx + b, the m is the slope, the b is the y intercept, and x and y can be subbed in from the point you are given of (1, 3).  We are told the slope, so everything we have fills in like this:

[tex]3=\frac{1}{4}(1)+b[/tex]

Now we just need to solve for b:

[tex]3-\frac{1}{4}=b[/tex] and

[tex]\frac{12}{4}-\frac{1}{4}=b[/tex] so

[tex]b=\frac{11}{4}[/tex]

12x18.2/2=109.2 is the area of the big triangle and also the same area could be found 20 x h=109.2 so

h= 109.2/20=5.46 m

Answer: 65 seats in row 20

Step-by-step explanation: 3 = 31, 6 = 37 the difference is 3 rows but 6 seats so its going up 2 every row therefor you need 14 rows after row 6 so 14 * 2 + 37 = 65 seats

By finding a linear equation, we will see that on the row 20 there are 65 seats.

Here we have a linear relationship, that can be written as:

y = a*x + b

Where a is the slope and b the y-intecept.

We know that if a line passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we have points of the form (row, seats), and the two points that we have are:

(3, 31) and (6, 37)

So the slope is:

[tex]a = \frac{37 - 31}{6 - 3} = 2[/tex]

So the equation is:

y = 2*x + b

To find the value of b, we replace one of the points in the equation. If we use the first one, we have x = 3 and y = 31, so:

31 = 2*3 + b

31 = 6 + b

31 - 6 = 25 = b

The equation is:

y = 2x + 25

The number of seats in row 20 is what we get if we replace x by 20, then:

y = 2*20 + 25 = 65

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

let's recall that on the IV Quadrant the x/cosine is positive and the y/sine is negative, and of course the hypotenuse is just a radius unit and therefore never negative.

[tex]\bf sin(\theta )=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{15}}\impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\bf \pm\sqrt{15^2-(-7)^2}=a\implies \pm\sqrt{176}=a\implies \stackrel{\textit{IV Quadrant}}{+\sqrt{176}=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{\sqrt{176}}}{\stackrel{hypotenuse}{15}}~\hfill[/tex]

The area of a parallelogram is given by

[tex]A=bh[/tex]

Now, if we consider the 9.9 inches side as the base, then the height is the one labeled with 5.5 inches.

If instead we choose the 11 inches side as the base, the height is h.

So, we can express the area in this two equivalent ways:

[tex]A = 9.9\cdot 5.5 = 11\cdot h[/tex]

Solving for h, we have

[tex]h = \dfrac{9.9\cdot 5.5}{11} = 4.95[/tex]

18 x 15 x 3 is 810. The volume is 810. (Also you cant give 99 points but I’ll take a brainlist answer?)

Answer:

[tex]810\text{ cm}^3[/tex].

Step-by-step explanation:

We have been given an image of a container. We are asked to find the volume of nuts could the container hold.

We can see that our given container is in form of cuboid, so we will use volume of cuboid formula to solve our given problem.

[tex]\text{Volume of cuboid}=\text{Length*Width*Breadth}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\text{Volume of container}=18\text{ cm}\times 15\text{ cm}\times 3\text{ cm}[/tex]

[tex]\text{Volume of container}=810\text{ cm}^3[/tex]

Therefore, the container can hold 810 cubic cm of macadamia nuts.

Answer:

Expanded Notation Form:

300 + 70 + 2 + 0.3= 372.3

Expanded Factors Form:

3 x 100 + 7 x 10 + 2 x 1 + 3 x 0.1 = 372.3

Hope this helps!!

No, she should not use her standard deduction because it is less than the deduction she will get from itemizing OPTION B is correct answer.

What is Standard deduction ?

Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.

Zeituni's standard deduction on her federal income tax return is $5700.

she paid $4670 in state taxes and $1180 in mortgage interest last year, totaling to = $4670+ $1180

                 = $5850

So, no, she should not use her standard deduction because it is less than the deduction she will get from itemizing.

Learn more on standard deduction here:

https://brainly.com/question/11777021

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Zeituni should itemize her deductions, as the total of her state taxes and mortgage interest ($5850) is more than her standard deduction ($5700). So the correct answer is B.

To decide whether Zeituni should use her standard deduction or itemize her deductions, we should add up her state taxes and mortgage interest. The total of her state taxes ($4670) and mortgage interest ($1180) comes to $5850. Comparing this with her standard deduction of $5700, we can see that $5850 is more than $5700. Thus, the better option would be for Zeituni to itemize her deductions.

So the answer is B. No, because it's less than the deduction she would get from itemizing.

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Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Let's build the f(c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f(c) =17.12c -14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

So

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Answer:

Step-by-step explanation:

2 sets of books

Answer:

20 3/4 is to 20.75

20 1/5 is to 20.2

20 7/8 is to 20.875

and 20 4/5 is to 20.8

The matching of each mixed number to its equivalent decimal number is given below -

The mixed number is represented as a b/c where a, b, c are three positive non zero integers .

Mathematically -

a b/c = {(a*c) + b}/ c

Thus, the matching of each mixed number to its equivalent decimal number is -

To learn more about mixed number, refer -

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Answer:

The ratio is [tex]\frac{1}{492}[/tex]

Step-by-step explanation:

Remember that

1 ft=12 in

The Eiffel Tower is 984 feet

Convert to inches

984 ft=984*12=11,808 in

Find the ratio of the height of the model to the height of the actual Eiffel Tower

The height of the model is 24 in

The height of the actual Eiffel Tower is 11,808 in

the ratio is equal to

[tex]\frac{24}{11,808}=\frac{1}{492}[/tex]

That means----> The height of the actual Eiffel Tower is 492 times greater than the height of the model

To find the ratio of the height of the model to the actual Eiffel Tower, convert the model's height to feet (24 inches = 2 feet) and then divide by the tower's height (2 feet / 984 feet) to get the simplified ratio of 1:492.

To calculate the ratio of the height of the model Eiffel Tower to the actual Eiffel Tower, we need to ensure both measurements are in the same unit. Since the actual Eiffel Tower's height is given in feet and the model's height is in inches, we will convert one of these measurements so they can be directly compared.

First, we convert the model's height from inches to feet. We know that 1 foot equals 12 inches, so:

24 inches × (1 foot / 12 inches) = 2 feet.

Now we have the model's height in feet, and we can form the ratio:

Height of model / Height of actual Eiffel Tower = 2 feet / 984 feet.

By simplifying this fraction, we get:

1 / 492.

So, the ratio of the height of the model to the height of the actual Eiffel Tower is 1:492.