need help with this! show work please!

Need Help With This! Show Work Please!

Answers

Answer 1

Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2


(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°


Related Questions

Your revenue (in dollars) for selling x bracelets is given by f(x) = 5x and your profit is $50 less than 80% of the revenue. What is your profit for 77 sales?​

Answers

From the calculation carried out below, it can be observed that the profit for 77 sales is $258.

How do we calculate profit for sales?

Given revenue as:

f(x) = 5x ............................ (1)

Where:

x = Number of bracelets sold or sales = 77

Total obtain the revenue, substitute x = 77 into equation (1), we have:

Revenue = f(77) = 5 * 77

Revenue = $385

Since profit is $50 less than 80% of the revenue, we have:

Profit = (Revenue * 80%) - 50

Profit = (385 * 80%) - 50

Profit = 308 - 50

Profit = $258

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An isotope with z > 83, which lies close to the band of stability, will generally decay through_______

Answers

An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

What do we mean by decay?The process by which an unstable atomic nucleus loses energy through radiation is known as radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, as well as nuclear disintegration). Radioactive material is one that contains unstable nuclei. Radioactive decay is the spontaneous transformation of one element into another. This can only happen by changing the number of protons in the nucleus (an element is defined by its number of protons). A radioactive procedure in which a nucleus spontaneously transforms into one or more different nuclei while emitting radiation, losing electrons, or fissioning. An isotope with z > 83, for example, which is close to the band of stability, will generally decay through decay.

Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

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The diagram shows five touching semicircles, each with radius 2. What is the length of the perimeter of the shaded shape? Give your answer in terms of π​

Answers

The Length of perimeter of the shaded shape is; 24 - 8π

What is the Perimeter of the shaded area?

Let us first find the rectangle measurements that contains the shaded portions.

Width of rectangle = 2 * 4 = 8

Length of rectangle = 2 + 2 = 4

Perimeter of rectangle = 2(8 + 4) = 24 units

Now, let us find the perimeter of all semi circles and quarter circles that fall into into this rectangle region;

Perimeter of semi circles = πr + πr + πr + πr/2 + πr/2 = 4πr

Perimeter of semi circles inside the rectangle = 4π * 2 = 8π

Thus;

Length of perimeter of shaded shape = 24 - 8π

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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line? y = one-fifthx 1 y = one-fifthx 5 y = 5x 1 y = 5x 5

Answers

For the following equation of the line: y = (1/5)x + 1, y = (1/5)x + 5, y = 5x + 1, and y = 5x + 5, the line that is perpendicular to it and has the same y - intercept is: y = -5x + 1, y = -5x + 5, y = (-1/5)x + 1, and y = (-1/5)x + 5, respectively.

If two equations of the line are perpendicular with each other, then their slopes are negative reciprocal of one another.

To generate the equation of the line perpendicular to the given lines, with the same y-intercept,

1. Get the slope of each line and determine its y-intercept

2. Take the negative reciprocal of the slope and use it and the same y-intercept to get the equation.

y = (1/5)x + 1

slope = 1/5

y-intercept = 1

perpendicular line :

slope = -5

y-intercept = 1

equation : y = -5x + 1

y = (1/5)x + 5

slope = 1/5

y-intercept = 5

perpendicular line :

slope = -5

y-intercept = 5

equation : y = -5x + 5

y = 5x + 1

slope = 5

y-intercept = 1

perpendicular line :

slope = -1/5

y-intercept = 1

equation : y = (-1/5)x + 1

y = 5x + 5

slope = 5

y-intercept = 5

perpendicular line :

slope = -1/5

y-intercept = 5

equation : y = (-1/5)x + 5

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Answer:

C     y = 5x + 1

Step-by-step explanation:

Took the test on edu

Question 12
4
Which of the following numbers is irrational?
-9
5
7
√√5. √9
3

Answers

Answer: square root of 5 and square root of  9

Step-by-step explanation:

3/4x+8<41 graph it as well

Answers

Answer:

x<44

Step-by-step explanation:

simplify 3a x 5b x 5b x 6c

Answers

450d that’s the answer for sure!

If the volume of a cube increases at rate of 3 cm^3/sec what is the rate of increase of the length of its side ?

Answers

Greetings from Brasil...

We know that

V = L³  ⇒  L = ∛V

and

dV/dt = 3cm³/s   (volume rate as a function of time)

Let

dL/dV = L' = 1/(3∛V²)    

We need dL/dt (side rate as a function of time), so

(dV/dt) . (dL/dV) = dL/dt

then

dL/dt = 3 . [1/(3∛V²)]

dL/dt = 1/∛V²

Margo borrows $800 agreeing to pay it back with 8% annual interest after 8 months. how much interest will she pay?

Answers

Answer:

43

Step-by-step explanation:

800 × 8% × (8/12)

When Betty painted her house, she used 3 gallons of white paint and 2 gallons of brown paint. How many gallons of paint did Betty use in all?

Answers

Answer:

5 gallons

Step-by-step explanation:

You just add 2 gallons and 3 gallons and you get

Use the equation of the least-squares regression line and the residual plot to estimate the actual mean weight of the infants when they were 1 month old

Answers

The actual mean weight of the infants when they were 1 month old is 4.297

The residual plot doesn't show any obvious leftover pattern, confirming that a linear model is appropriate.

the equation of this line as ˆy=12x−1 with an accent on the y to indicate that the y-values computed using this equation

y = 4.88 + 0.267(1)

y = 5.147

residual = -0.85 = A - 5.147 + 5.147

residual = 4.297

the actual mean weight of the infants when they were 1 month old is 4.297

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(3.6 x 105) / (1.2 x 103) =

Answers

3.0582524271844

Step-by-step explanation:

1.multiply the numbers:3.6×105=378

2.multiply the numbers:1.2 ×103=123.6

3.Divide the numbers:378/123.6=3.0582524271844

To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x) = 140 + 25x, where x represents the number of hours the accountant works to prepare the taxes and 140 represents the flat fee. What is the value of A(215) and its interpretation?

A(215) = 3; If the accountant takes 215 hours to prepare the taxes, the cost will be $2.
A(215) = 3; If the account takes 3 hours to prepare the taxes, the cost will be $215.
A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515.
A(215) = 5515; If the accountant takes 5,515 hours to prepare the taxes, the cost will be $215.

Answers

The value of A(215) and its interpretation are captured thus:

A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515

What does the function represents?

The function given as A(x) = 140 + 25x, represents the total cost of using the services of the accountants for tax computation and preparation, bearing in mind that the 140 means $140 which is the fixed charged irrespective of the number of hours it takes to prepare the tax returns whereas the 25x means that $25 is charged as variable fee for  every hour the accountant works on the tax computation

A(x) = 140 + 25x

In this case, A(215) means that 215 hours were made use of by the accountants, hence, to determine the total fees, we simply substitute for x

A(215) = 140+(25*215)

A(215) = 140+5375

A(215)=$5,515

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What is an equation of the line, in point-slope form, that passes through the point (9, -9) and has a slope of 4?

Please explain how to do this : )

Answers

[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{9}) \implies y +9= 4 (x -9)[/tex]

Answer:

m = 4

Step-by-step explanation:

slope = 4

3(8-3)+2(4-1)
9(6-2)-11(5-2)

Answers

the solution for it ..

solving the bracket is important

25. Communicate and Justify Ramon says that 4 1 can be rewritten as Jamal says that 12 124* it cannot because both the numerator and denominator need to be raised to the power of 4. Who is correct? Explain. Thinking For what values of x is​

Answers

Answer:

Step-by-step explanation:

Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.

Use the concept of exponent defined as:

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Given that,

Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.

And, Jamal says that it cannot.

Here, the expression is,

(1/12)⁴

Apply the rule of exponent as

1⁴ / 12⁴

1 / 12⁴

Hence, Ramon is correct to write the expression.

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What is 1/2x+1/2x=x+1

Answers

Answer: 2x..?

Not 100% sure but here's my reasoning

(1/2 + 1/2 + 1)x

1/2 + 1/2 = 1

1 + 1 = 2

then you add the x, making it 2x

i could be wrong im literally half asleep eating chicken wings and finishing my own homework so forgive me if this is completely wrong lol

12. FIND THE ERROR A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.

Answers

Here is what the student wrote (re-pasting for clarity)

C = 1.9 x 9.95

C = 18.91

C = $18.91

The error happens in the 1st line

Why? Because the 1.9 should be 1.09

The 1.9 represents a tax of 90% when we want a 9% tax instead

In other words, 9% = 9/100 = 0.09 while 90% = 90/100 = 0.9

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

This is what the steps should look like

C = 1.09 x 9.95

C = 10.8455

C = 10.85

Don't forget to round to the nearest hundredth, aka nearest penny.

The total cost, after sales tax, is $10.85

Solve for u.
4u = 88
Simplify your answer as much as possible.
U=
X
3

Answers

Answer: u=22

Step-by-step explanation:

4u = 88

Divide by 4 on both sides

4u/4 = 88/4

Cancel out 4u

u = 22

The salary for a groun of executives was listed as follows: 18 at $50,000; 10 at $60,000; 8 at $75,000; 2 at $90,000; and 2 at $10,000. What is the average salary?

Answers

Answer:

The average salary is $57,500

Step-by-step explanation:

You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2

To find the total salaries"

18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000

2300000/40 = 57,500

what is the median of 5,5,5,2,6,1,15,2,3,1

Answers

Answer:

The median is: 4

Hope this helps! <3

After making several plates of empanadas, you are down to your last bag of shredded cheese. You realize that it’s not full; there is about / three-fourths of a bag left. If you want to make 4 plates with the remaining cheese, what fraction of a bag can you put on each plate?

Answers

The fraction of a bag that you can put on each plate is 3 /16.

What is the fraction you can put on each plate?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator and the denominator are divided by a line. An example of a fraction is 1 / 2.

The fraction of the cheese that you can put on each plate can be determined by dividing the amount of cheese left by the number of plates. Division is the process of grouping a number into equal parts using another number.

Amount that can be put on each plate = fraction left / number of plates

3 /4 ÷ 4

3/4 × 1/4 = 3 /16.

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An instructor gives a short quiz involving 10 true-false questions. To test the hypothesis that the student is guessing the following decision rule is adopted :

Answers

176/2^10 = 0.171875.

n=10, p=1/2, q=1/2

probability of student passes the quiz only if he answers 7 or more than 7 questions correctly and let it be x

P(x)=10C7(0.5)^7(0.5)^3 + 10C8(0.5)^8(0.5)^2 + 10C9(0.5)^9(0.5)^1

+ 10C10(0.5)^10(0.5)^0

=120 /1024 + 45/1024 + 10/1024 + 1/1024

P(x)=176 / 1024

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98÷13=
I need help please...

Answers

Answer:

7.538461538

Step-by-step explanation:

140%of 138.6 is what

Answers

Hello, the answer is 194.04.

First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.

So the steps to a percentage multiplied to a number are:

1. Convert the percentage to a decimal.

2. Multiply the decimal by the number.

3. You get the answer.

please help please help this is easy but hard for me lol

Answers

Answer:

To make AEH(triangle) do a vertical cut from A to H

Step-by-step explanation:

If the straight-line distance from her home to the university is 10. 3 km in a direction 25. 0° south of east, what was her average velocity in km/h?.

Answers

The average velocity in km/h is: 34.3km/hr

What is average velocity?

Average velocity refers to speed at which the time intervals (t) change in position or displacement happens, divided by the change in position or displacement (x).

=> Average velocity = [tex]\frac{displacement}{time}[/tex]

Now,

The time taken is missing in the question; the time taken = 18 mins = [tex]\frac{18}{60}[/tex] hours.

The distance of her home to the university = 10.3 km

As, average velocity = [tex]\frac{displacement}{time}[/tex]

=> Velocity = [tex]\frac{10.3\times60}{18}[/tex] = 34.3 km/hr

Hence, the average velocity = 34.3 km/hr

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A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their​ weights? be sure to include the appropriate units with the result.

Answers

The variance of their​ weights is 128.87270 kg².

It is required to find the variance of their​ weights.

What is standard deviation ?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Let n=sample size=10 subjects

Standard deviation=11.352211.3522 kg

Using this formula

Variance=(Standard deviation)²

By the formula we get,

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Therefore, the variance of their​ weights is 128.87270 kg².

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Use the expression -1/3-(-5/12) show an equivalent addition expression

Answers

The equivalent expression to -1/3-(-5/12) is 1/12.

How to calculate the expression?

From the information, the expression given is -1/3-(-5/12).

Therefore, this will be computed thus:

= -1/3-(-5/12)

= - 1/3 + 5/12

= 5/12 - 1/3

= 5/12 - 4/12

= 1/12

Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.

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These numbers form an addition and subtraction fact family.
4, 2, 6
Choose the fact family formed by these numbers.
OA 2+6=8
8-6=2
2+2=4
4-2=2
OB. 2+4= 6
6-4=2
OC 4+2=6
6-2=4
OD. 4+2=6
6-2=4
2+4=6
6-4=2

Answers

The correct family is option D.

To understand this problem we must be aware of the concept of addition and subtraction and also BODMAS rules which applies in an linear equation.

The numbers given here are 4,2 and 6.

We can see here that on adding 4 and 2 we get 6;

4+2=6

And on subtracting 2 from 6 we get 4;

6-2=4

Also we can see here that on subtracting 4 from 6 we get 2;

6-4=2.

These three relations are true for the given numbers.

And we can see that option D clearly fits the answer.

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