Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled Net change with entries blank, + one-fourth. If you buy three of the ABC bonds with $10 commission for each, how much will it cost? a. $3142.50 b. $1047.50 c. $3172.50 d. $1077.50

Answer:G

Step-by-step explanation:Since it is decreasing in size, the coordinates have to be negative so the only answer is G

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}\)

\(\begin{gathered}\end{gathered}\)

SOLUTION :

Here's the required formula to find the length of rectangle :

\({\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}\)

Substituting all the given values in the formula to find the length of rectangle :

\(\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}\)

Hence, the length of rectangle is 23 cm.

\(\begin{gathered}\end{gathered}\)

LEARN MORE :

\(\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}\)

\(\rule{300}{2.5}\)

Answer:

We know that,

\( \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)\)

\(\implies\displaystyle{3 {22}^{} } = l \times 14\)

\(\implies\displaystyle{ \frac{322}{14} = l }\)

\( \implies \displaystyle{23=l}\)

Thus,the value of length=23 cm.

A bank is eligible to ask for a service fee because it provides various services to its customers that incur costs.

Banks are financial institutions that offer a range of services such as deposit accounts, loans, credit cards, money transfers, and investment options. These services require infrastructure, technology, staff, and administrative costs to operate effectively.

The service fee charged by a bank helps cover these operational expenses and ensures the bank can continue providing quality services to its customers. Additionally, banks may also charge fees to generate revenue and earn profits. Banks are businesses that need to maintain financial sustainability, and service fees contribute to their overall revenue stream.

Banks typically outline their fee structure and disclose the applicable charges in their terms and conditions or fee schedules. Common examples of service fees include monthly maintenance fees for deposit accounts, transaction fees for certain types of transactions, overdraft fees, wire transfer fees, and fees for additional banking services.

It's important for banks to be transparent about their fee structure and provide clear information to customers regarding the charges. Customers can then make informed decisions about which services to use and understand the costs associated with those services.

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Answer:

false

Step-by-step explanation:

The statement shown above is false. The absolute value function is not not one to one, and the greatest integer function is not many to one. Therefore the correct answer choice is B) False. The best way to find whether a function is one to one is explained in the attachment.

Answer:

\(x = 6\)

\(y = 4\)

I'm not sure what type of equations you are looking for but these are the most basic ones.

Step-by-step explanation:

Hope this helps! if you have any questions ask me in the comments.

Answer:

8 1/2

Step-by-step explanation:

The Melinda's rate of decent from the top of the hill is 3.75 ft/sec.

For the given question;

The distance covered by the Melinda after she tripped over a rock at the top of the hill is 225 feet.

The time taken by Melinda to reach the bottom of the hill is 90 seconds.

Then, the rate of decent will be the speed at which she will fall.

Speed = distance/ time

Speed = 225/60

Speed = 3.75

Thus, the Melinda's rate of decent from the top of the hill is 3.75 ft/sec.

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The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

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

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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Answer:

  12π ≈ 37.7 cubic centimeters

Step-by-step explanation:

The volume of the cylinder can be found using the appropriate formula.

__

The cylinder is marked as having a diameter of 4 cm, and a height of 3 cm. The radius of the cylinder is half the diameter:

  r = d/2

  r = (4 cm)/2 = 2 cm

__

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . . where r is the radius and h is the height

Using the dimensions given, we find the volume to be ...

  V = π(2 cm)²(3 cm) = π(4 cm²)(3 cm) = 12π cm³

Written as a decimal, the volume is about ...

  12π cm³ ≈ 37.70 cm³ . . . . volume of the cylinder

_____

Additional comment

You probably noticed that we used the units in the formula along with the numbers. Units abbreviations can be manipulated algebraically the same way any other variable can be:

  x · x = x²

  cm · cm = cm²

Computing the volume in more steps, we have ...

  V = π(2 cm)²(3 cm)

  = π(2 cm)(2 cm)(3 cm) . . . . expanding the square term

  = π(2)(2)(3)(cm)(cm)(cm) . . . . we can rearrange the factors of a product

  = π(12)(cm³)

  = 12π cm³

In this question we are provided with the diameter of the cylinder and height of the cylinder. We are asked to calculate the volume of the cylinder. As we know that volume of a cylinder = πr²h units³. In this formula r stand for radius h stand for height but we are provided with the diameter. So, first we will find the radius of the cylinder and then we will find the volume of the cylinder.

Let us solve this problem.

We know,

\( \small\boxed{ \rm{ Radius = \dfrac{diameter}{2}}}\)

Substituting the values we get

\( \small\sf{ Radius = \dfrac{4}{2} = 2 \: cm}\)

Now we will calculate the volume

\( \small \boxed{\sf{ Volume_{(cylinder)} = πr²h}}\)

Where,

\( \small\bf{ Volume_{(cylinder)} = 3.14 × 2² × 3 }\)

\( \small\rm Volume_{(cylinder)} = 3.14 × 2 \times 2× 3 \)

\( \small\rm{ Volume_{(cylinder)} = 37.68 \: cm ³}\)

Answer:

14/3 x 7/2

Step-by-step explanation:

hope it works

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.

The amount you earn each month before taxes and other deductions is referred to as your monthly gross income. In other words, it's your annual salary divided by 12. It's only a simple metric to aid in budgeting and other routine financial computations.

Annual Salary Amount / Number of Pay Periods = Gross Pay.

Gross pay equals the number of hours worked in a pay period multiplied by the hourly rate (+ overtime hours multiplied by the hourly overtime rate).

Given,

Tax rate=6.2%

=64000(6.2/100)

=3968

And also given another tax rate is 1.45%

=64000(1.45/100)

=92.8

Total=3968+928

=$4896

Therefore, the total gross salary for FICA taxes is $4896.

The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.

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For the function f(n)=^4√5n−231, the value at n = -5 is:

f(-5) = ^4√5(-5)−231

= ^4√(-5)−231

= ∅

The function does not have a value at n = -5 because the fourth root of a negative number is not defined in the real numbers. Therefore, the answer is ∅.

Step-by-step explanation:

the probability of 1 tested insect is killed is 60% or 0.6.

the probability that it is not killed is then 1-0.6 = 0.4.

when we test 7 insects and exactly 4 survive is the event that

3 insects are killed, 4 insects survive.

the probability for one such case is

0.6×0.6×0.6 × 0.4×0.4×0.4×0.4

how many such cases do we have ?

as many as ways we can select 4 insects out of the given 7.

these are 7 over 4 combinations :

7! / (4! × (7-4)!) = 7! / (4! × 3!) = 7×6×5/(3×2) = 7×5 = 35

so, the probability that exactly 4 out of 7 tested insects survive is

35 × 0.6³ × 0.4⁴ = 0.193536 ≈ 0.1935

The expression which has the same value as the given expression; 4² - 6 × 2 among the answer choices is; Choice C; 10 - 3 x 2 + 4¹.

According to the task content; the given expression whose equivalent is to be determined is;

Given;

4² -6 ×2.

It follows from PEMDAS that the exponent should be evaluated and then the multiplication.

Hence, the value of the expression is; 16 - 8

= 8.

For answer choice C, which is correct, the evaluation is as follows;

10 - 3 × 2 + 4¹

= 10 -6 + 4

= 8.

Ultimately, choice C has the same value as the given expression.

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Answer:

419.099 is less than 419.045

Step-by-step explanation:

Answer:

419.099 is greater

Step-by-step explanation:

Answer:

-10/3 is a rational number

Step-by-step explanation:

Rational numbers are the ratios of two integers.

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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Title: Echoes of Legacy

In the depths of history, my ancestor Emma stepped forward with a photograph in her hands. The image revealed a scar on her cheek, a reminder of her resilience.

Title: Echoes of the Past

I had always been fascinated by the old family photograph that hung on the wall. It depicted a man with rugged features, a scar running across his weathered face, and a distant look in his eyes. That man was my ancestor, Samuel McAllister, and it was time for me to step into his world and uncover the mysteries that lay within.

As I closed my eyes, the world around me faded away, and I found myself transported to the 19th century. It was a time of great turmoil, an era defined by the echoes of war and whispers of change. Samuel, a resilient and courageous man, had ventured into the unknown, leaving behind a life of familiarity to seek adventure and fortune in the American West.

Samuel's journey took him through vast landscapes, from bustling cities to untamed frontiers. He encountered characters as diverse as the land itself, from cowboys to Native Americans. Each encounter left an indelible mark on his spirit, shaping him into a man of empathy and understanding.

One evening, as Samuel set up camp beneath a star-studded sky, a ghostly presence appeared before him. It was a specter, translucent and ethereal, silently beckoning him to follow. Filled with curiosity and a sense of foreboding, Samuel pursued the apparition through moonlit forests and winding canyons.

The ghost led him to a hidden cave, its walls adorned with ancient symbols and forgotten tales. In that sacred space, Samuel discovered a hidden treasure—a trove of knowledge passed down through generations. He realized that he had stumbled upon a portal to the past, a bridge connecting him to his ancestors and their wisdom.

Armed with newfound insight, Samuel returned to civilization, but his journey was far from over. He faced personal demons and fears, wrestling with his own identity and the weight of responsibility. Yet, through it all, he carried the spirit of his ancestors within him, drawing strength from their stories and the legacy they left behind.

Samuel's adventures were not without hardship. He witnessed the brutality of war, experienced heartbreak, and confronted his own mortality. But in those moments of adversity, he discovered resilience and compassion, traits that defined his character.

The scar on his face became a symbol of his resilience—a reminder of the battles fought, both physical and emotional. It served as a testament to the scars we all carry, visible or hidden, and the strength that lies within us to overcome adversity.

As I opened my eyes, I realized that I had lived through Samuel's experiences, even if only in my imagination. Through his story, I had unearthed a deeper connection to my roots, understanding the sacrifices and triumphs that shaped my family's legacy.

Samuel's journey continues to resonate within me, a reminder of the importance of embracing our past, exploring our fears, and celebrating the extraordinary within the ordinary. His story lives on, echoing through the corridors of time, inspiring future generations to embark on their own quests of self-discovery and adventure.

Word Count: 546 words

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The transformations of f(x) when compared to the parent function is the graph of \(f(x)=x^2+5\) is moved 5 units up

Transformation of function is transforming a function from one form to another form .

f(x)-> f(x)+a , f(x) will be moved 'a' units up

f(x)-> f(x)-a , f(x) will be moved 'a' units down

f(x)-> f(x-a) , f(x) will be moved 'a' units right

f(x)-> f(x+a) , f(x) will be moved 'a' units left

f(x)-> -f(x), f(x) will be reflected across x-axis

f(x)-> f(-x), f(x) will be reflected across y-axis

For quadratic, the parent function is \(f(x)=x^2\)

Given that \(f(x)=x^2+5\)

Here , 5 is added with f(x) at the end

f(x)-> f(x)+a , f(x) will be moved 'a' units up

\(f(x)=x^2 ------ > f(x) =x^2+5\)

The graph of f(x) will be move 5 units up

the transformations of f(x) when compared to the parent function is the graph is moved 5 units up

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Answer:

A. y = 4.5x

Step-by-step explanation:

y is the length of the fish and x is the time, by checking each equation with values in the table you can see that this is the one that represents the relationship.

Example using (4 yrs, 18 cm):

A: 18 = 4.5(4) ✅

B: 4 = 4.5(18) ❌

C: 4 = 9(18) ❌

D: 18 = 9(4) ❌

Each ticket cost $8.25

Step-by-step explanation:

Divide 379.50 by 46 to get 8.25

379.50/36=8.25

Double check

8.26 x 46 = 379.50

Answer:

t = 2 half-lives = 2*60 days = 120 days

hope this helps

Step-by-step explanation:

Answer:

a) -16

b)7

c) -4

d) 9

Step-by-step explanation:

by solving

The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer: Hope this helps ;)

Step-by-step explanation:

The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.

First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):

(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242

We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.

Using a calculator, we find that the probability is 0.3389.

Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation: