The length of a rectangle exceeds its width by 5 inches. The
area of the rectangle is 84 square inches. Find its dimensions.

Answers

Answer 1

Answer:

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

Step-by-step explanation:

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

the length is 12 inches

the width is 7 inches.

The answer is l=12, w=7

Answer 2

Answer:

Step-by-step explanation:

Givens

Let the width be w

Let the length be w + 5

Let the area = 84

Equation

A = L*w

Solution

x(x + 5) = 84              Remove the brackets

x^2 + 5x = 84            Subtract 84 from both sides

x^2 + 5x - 84 = 0      This will factor

(x - 7)(x + 12) =0

x + 12 has no meaning. Geometry does not use negative numbers.

x - 7 = 0                      Add 7 to both sides

x = 7

The width = 7

The length = 7 + 5 = 12


Related Questions

Emma drinks 2/3 (two-thirds) cups of water for every mile she hikes. Her water bottle holds 4 cups of water. How many miles can she hike before her water runs out?

Answers

Answer:

2 2/3 miles

Step-by-step explanation:

so you take 2/3 and times it by 4/1

you now have 8/3

then you simply and come up with 2 2/3

the answer also just might be 2 depends on what they want, the full mile or the partial also.

2/23 miles will be yoire best answer!

Which one doesn’t belong?

Answers

Answer:

1.

Step-by-step explanation:

The other person is correct:) 1. I believe

x + 3 = 6
Im dumb so help me!

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]x+3=6[/tex]

Subtract 3 from both sides:

[tex]x+3-3=6-3\\x=3[/tex]

Hope this helps!

TestedHyperr

Given is a sentence "1,024 is the smallest 4-digit number that is a perfect square", we need to determine whether it is a statement or not.
This sentence is a statement because it fact stated that 1024 is the smallest four digit number which is a perfect square is true.

Answers

The statement "1,024 is the smallest 4-digit number that is a perfect square" is statement.

Yes, the given sentence "1,024 is the smallest 4-digit number that is a perfect square" is a statement. A statement is a sentence that conveys some information, idea, or proposition. It can either be true or false and is usually based on facts or opinions.

In this case, the statement is true as 1024 is the smallest four-digit number that is a perfect square. A perfect square is a number that is obtained by multiplying a number by itself. 1024 is a perfect square since it is equal to 32 * 32 (or 2^10).

The given statement, therefore, is a true statement since it conveys a factual and accurate piece of information.

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Algebra like terms help plz.

Answers

The variable part of the answer would be xy because variables are the letters in the equation. So, as x and y are the letters in the equation, they would be the variable

In the figure, PMQ, PNR, MOR and NOQ are straight lines. It is given that  △PQN ≅ △PRM. Find x and y.​

Answers

PRM +MPR+PMR=180。(angle sum of triangle)
70。+35。+PMR=180。
PMR=75。
x+PQR=180。(angle on straight line)
x=105。

MQO=QOM
QMO+2MQO=180。(angle sum of triangle)
105+2MQO=180。
MQO=37.5。

MQO+y+MPN=180。(angle sum of triangle)
37.5+70+y=180。
y=72.5

A+sports+broadcaster+predicts+a+basketball+team+will+score+88+points+in+the+next+game.Of+the+team+actually+scored+98+points+,+what+was+rhe+broadcasters+percent+error?+round+your+answer+to+the+nearest+tenth+of+a+percent&spell=1&sa=X&ved=2ahUKEwj7xZ_AtfPrAhUbHM0KHRHwCQgQkeECKAB6BAgJEAI&biw=375&bih=626

Answers

Answer:

10.2%

Step-by-step explanation:

Prediction of the broadcaster = 88 points

Actual score scored = 98points

% error = actual score-predicted score/actual score × 100℅

Substitute the given scores into the formula;

%error = 98-88/98 × 100

%error = 10/98 × 100

%error = 1000/98

%error = 10.2%

Hence the broadcaster percentage error is approximately 10.2%

how to solve (2x - 3)(x+2) ​

Answers

Answer:

2x^2+x-6

Step-by-step explanation:

Use the F.O.I.L method

2x^2+4x-3x-6

The distribution of salaries of all the employees in a company follows a bell-shaped curve, has a mean of $15.00 hourly with a standard deviation of $3.20.99.7% of employees in the company earn between what two amounts? Show your work and your final answer as an interval.

Answers

Approximately 99.7% of employees in the company earn between $5.40 and $24.60 per hour.

To find the interval within which 99.7% of employees' salaries fall, we can use the properties of the normal distribution.

Given:

Mean (μ) = $15.00 per hour

Standard deviation (σ) = $3.20

In a normal distribution, approximately 99.7% of the data falls within three standard deviations of the mean. So, we can calculate the interval as follows:

Lower bound = μ - 3σ

Upper bound = μ + 3σ

Lower bound = $15.00 - 3 * $3.20

= $15.00 - $9.60

= $5.40

Upper bound = $15.00 + 3 * $3.20

= $15.00 + $9.60

= $24.60

Therefore, approximately 99.7% of employees in the company earn between $5.40 and $24.60 per hour.

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How do you find the area of a rectangle? the rectangle is on a graph and it is slanted. It gives the coordinates to every corner.

Answers

Answer:

lw

Step-by-step explanation:

The formula to find the area of a rectangle is A = lw

A = Area

l = length

w = width

As your costumer increases, your list goes as follows, 12, 14, 16, 18,....
Questions:
1. If what you gain daily continues in this manner, how much gain can you
expect at the end of the week?

2. is your gain shows a pattern? If yes, find its general rule.

3. Using the general rule, compute for your expected gain at the end of 30
days.​

Answers

Answer:

1. 24

2. [tex]10+2n[/tex] where n denotes number of days.

3. 70

Step-by-step explanation:

1.

Consider the sequence: [tex]12,14,16,18,...[/tex]

Here,

[tex]14-12=2\\16-14=2\\18-16=2[/tex]

Take the common difference as d = 2 and the first term as a = 12

Use the formula: [tex]a_n=a+(n-1)d[/tex]

To find expected gain at the end of the week, find [tex]a_7[/tex]

[tex]a_7=12+(7-1)2\\=12+6(2)\\=12+12\\=24[/tex]

2.

Yes, the gain shows the pattern.

Put [tex]a=12,d=2[/tex] in [tex]a_n=a+(n-1)d[/tex]

[tex]a_n=12+(n-1)2\\=12+2n-2\\=10+2n[/tex]

Here, n denotes number of days.

3.

To find expected gain at the end of 30  days, put [tex]n=30[/tex] in [tex]a_n=10+2n[/tex]

[tex]a_{30}=10+2(30)\\ =10+60\\=70[/tex]

Lora bought a house for p dollars

Answers

The expression that represent the new price is p(0.5 + 1).

How to find the expression for words?

Lora bought a house for a price of p dollars. After 1 year the value of the house increased by 50%.

Therefore, the expression that can be used to represent the new value of the house can be represented as follows:

Hence,

increased price = 50% of p

increased price = 50 / 100 p

increased price = 0.5p

Hence, the expression that represent the new price is as follows;

expression for the new price = 0.5p + p

expression for the new price = p(0.5 + 1)

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PLEASE HELL AND CHECK OUT

Answers

Answer:

so every 6 cups there you can make 96 cookies

Step-by-step explanation:

Help Rearranging
(0.75V * 19.3) + (0.25V * 10.5) * g = 25
rearrange for V

Answers

The rearranged equation for V is V = 25 / (14.475 + 2.625g). This expression represents the value of V in terms of the given equation and the variable g.

To rearrange the equation (0.75V * 19.3) + (0.25V * 10.5) * g = 25 for V, we can start by expanding and simplifying the terms on the left side of the equation. The equation becomes (14.475V) + (2.625V * g) = 25.

Next, we can combine like terms by adding the coefficients of V. This gives us (14.475 + 2.625g)V = 25.

To isolate V, we divide both sides of the equation by the coefficient (14.475 + 2.625g). This results in V = 25 / (14.475 + 2.625g).

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Neeeeddd helppppp!!!!!! Please

Answers

Answer:

a

Step-by-step explanation:

The answer of this question is A. 15^2

How do I do this math question, need answer asap

Answers

Answer:

m∠RQS = 102

m∠TQS = 78

Step-by-step explanation:

m∠RQS = (20x + 2)°

m∠TQS = (15x + 3)°

m∠RQS + m∠TQS = 180°

20x + 2 + 15x + 3 = 180

35x + 5 = 180

35x = 175

x = 5

m∠RQS = 20(5) + 2 = 100 + 2 = 102

m∠TQS = 15(5) + 3 = 75 + 3 = 78

Answer:

m∠RQS = 102°

m∠SQT = 78°

General Formulas and Concepts:

Definition of a Line: A line is 180°

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Set up equation

m∠RQS and m∠SQT must add up to m∠RQT.

m∠RQS + m∠SQT = m∠RQT

(20x + 2) + (15x + 3) = 180

Step 2: Solve for x

Combine like terms:                         35x + 5 = 180Subtract 5 on both sides:                35x = 175Divide 35 on both sides:                  x = 5

Step 3: Find m∠RQS

Define:                    m∠RQS = 20x + 2Substitute:              m∠RQS = 20(5) + 2Multiply:                  m∠RQS = 100 + 2Add:                        m∠RQS = 102°

Step 4: Find m∠SQT

Define:                    m∠SQT = 15x + 3Substitute:              m∠SQT = 15(5) + 3Multiply:                  m∠SQT = 75 + 3Add:                        m∠SQT = 78°

9. Parallelogram JKLM has the following vertices: J(-8, 1), K(2, 5), L(4, 0), M(-6, -4). Determine if this parallelogram is a rectangle. The first two answers are numerical. JL =__________ KM = Does JL equal KM? Write yes or no. Is parallelogram JKLM a rectangle?

Answers

The length of JL is 9 units. The length of KM is also 9 units. Yes, JL equals KM. Parallelogram JKLM is a rectangle.

To determine if parallelogram JKLM is a rectangle, we need to compare the lengths of its diagonals JL and KM.

Using the distance formula, we can calculate the length of JL:

JL = [tex]√[(x2 - x1)^2 + (y2 - y1)^2][/tex]

JL = [tex]√[(4 - (-8))^2 + (0 - 1)^2][/tex]

JL = [tex]√[12^2 + (-1)^2][/tex]

JL = √[144 + 1]

JL ≈ √145 ≈ 12.04 (rounded to two decimal places)

Using the distance formula, we can calculate the length of KM:

KM = [tex]√[(x2 - x1)^2 + (y2 - y1)^2][/tex]

KM = √[tex][(-6 - 2)^2 + (-4 - 5)^2][/tex]

KM = √[tex][(-8)^2 + (-9)^2][/tex]

KM = √[64 + 81]

KM ≈ √145 ≈ 12.04 (rounded to two decimal places)

Since JL = KM, the lengths of the diagonals are equal. This indicates that the opposite sides of parallelogram JKLM are congruent, which is a characteristic of a rectangle. Therefore, parallelogram JKLM is a rectangle.

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yeo I need help anybody understand this ? Thxs

Answers

Answer:

x=20

Step-by-step explanation:

3x-1+31+90=180

Combine like terms

3x+120=180

Subtract by 120 on both sides

3x=60

x=20

Answer:

59 degrees

Step-by-step explanation:

so first things first you have the tringle it has a right angle meaning that this triangle will equal 90 degrees so here is what our equation would look like:

90=31+(3x-1)

So in order to solve this equation you must subtract add and divide.

First Rule in doing these equations: what you do to one side of the equal sign you do to the other side.

so we subtract 31 from 90 to equal 59 so the equation looks like this:

59=(3x -1)

you then add a one to the negative one and the 59 to get 60 making the equation look like this

60= 3x

we then divide 60 by 3 to get 20

so 20= x

But this is not our answer this is simply the solvation for x in (3x - 1)

so the equation now looks like this (3(20) - 1) and this equals 59 degrees

now to check our work!

31 + 59 = 90 or 90- 31 = 59

find an equation for the line below

Answers

Y=1/2x+10 hope this helps

Find the area of a circle with radius, r = 58cm.
Give your answer rounded to 3 SF​

Answers

Answer:

The answer is 10600 cm²

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius of the circle

From the question

r = 58 cm

The area of the circle is

A = 58²π

= 3364π

= 10568.3176866761...

We have the final answer as

10600 cm² to 3 significant figures

Hope this helps you

Here we are given with the radius of a circle and we have to find the area using formula.

✤ Formula for finding area of a circle:

[tex] \large{ \boxed{ \sf{\red{Area \: of \: \circ = \pi {r}^{2} }}}}[/tex]

Where r is the radius of the circle. So let's plug in the values for finding the area of the circle:

➝ Area = π(58 cm)²

➝ Area = 3.14 × 58 cm × 58 cm

➝ Area = 10562.96 cm²

Now let's round off upto 3 significant figures: 10600 cm² (Answer)

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Suppose that Elena's utility function can be described as u(x1​,x2​)=(x1​−21​x12​)+=(x2​−21​x22​) Assume that Elena's income is I=K1200, the price of good x is Px​=4 price of good y is Py​=10 (a) Find MUx​ and MUy​ (b) Based on your results from (a), does this utility function satisfy monotonicity? And strict monotonicity? (c) Calculate MRSx,y​ (d) Find equilibrium quantities for good x and good y

Answers

a.  MUx = ∂u/∂x1 = 1 - x1

And MUy = ∂u/∂x2 = 1 - x2

b. This suggests that Elena's utility function does not satisfy monotonicity or strict monotonicity.

c. MRSx,y = MUx / MUy = (1 - x1) / (1 - x2)

d. We also have the budget constraint:

Px * x1 + Py * x2 = I

4x1 + 10x2 = 1200

(a) To find the marginal utilities (MUx and MUy), we need to differentiate the utility function with respect to each variable.

Given:

u(x1​,x2​) = (x1​−21​x12​)+(x2​−21​x22​)

Differentiating with respect to x1:

∂u/∂x1 = 1 - 2x1/2 = 1 - x1

Differentiating with respect to x2:

∂u/∂x2 = 1 - 2x2/2 = 1 - x2

So, MUx = ∂u/∂x1 = 1 - x1

And MUy = ∂u/∂x2 = 1 - x2

(b) Monotonicity requires that if x increases, then utility should increase as well. Strict monotonicity requires that utility strictly increases as x increases.

In this case, since MUx = 1 - x1 and MUy = 1 - x2, we can see that both marginal utilities decrease as their respective goods' quantities increase. This suggests that Elena's utility function does not satisfy monotonicity or strict monotonicity.

(c) The Marginal Rate of Substitution (MRS) between two goods, x and y, is given by the ratio of their marginal utilities:

MRSx,y = MUx / MUy = (1 - x1) / (1 - x2)

(d) To find the equilibrium quantities for goods x and y, we need to set the MRS equal to the price ratio Px / Py and solve for x1 and x2.

MRSx,y = (1 - x1) / (1 - x2) = Px / Py = 4 / 10 = 2 / 5

Now we can solve for x1 and x2. Rearranging the equation:

(1 - x1) / (1 - x2) = 2 / 5

Cross-multiplying:

5(1 - x1) = 2(1 - x2)

Expanding:

5 - 5x1 = 2 - 2x2

Rearranging terms:

5x1 - 2x2 = 3

We also have the budget constraint:

Px * x1 + Py * x2 = I

4x1 + 10x2 = 1200

Now we have a system of two equations with two variables. Solving this system will give us the equilibrium quantities for goods x and y.

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si la m<1=35°,la m<4=​

Answers

Can you maybe show the whole Question I can’t seem to figure it out

How far would the plane fly in 3.5 hours at this speed? explanation
The speed is 610 mph

Answers

Answer:

2135

Step-by-step explanation:

610 divided by to is 305 so the half of the hours the plane flys 305 miles.

610 times three equals 1830.

1830 plus 305 equals

Answer:

2135 miles

Step-by-step explanation:

ok so the plane is going at a speed of 610 mph

1 hour = 610 miles

this is a whole break down of what goes on in my head

610 x 3.5 = ?

600 x 3 = 1800

600 x .5 = 300

10 x 3 = 30

10 x .5 = 5

1800 + 300 + 30 + 5 = 2135

the plane will fly 2135 miles in 3.5 hours

1.Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 40 minutes to setup the equipment, and each cupcake in the batch takes 1.25 minutes to process. Each unit in the batch must wait for the entire batch to be processed before moving on to packaging. What is the throughput capacity (in cupcakes and/or minutes) of the icing stage? Pick the closest answer.

.6

.8

1

1.25

1.65

2

2. Refer to the previous question. What is the throughput time for a batch of cookies, in minutes? Pick the closest answer.

1.25

2.5

40

125

140

Answers

The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?
A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.

worth 48 points!!!! plz help me.
1.) For the following conditional statement, write the a.) inverse and b.) converse.
If it is Saturday, then there is no school.



2.) Write the following statement in if-then form.
All freshman are required to attend orientation.


3.) Fill in the blank for the following two-column proof.
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15
3. X=-5 Division Property

((You must solve the first and the second one differently for the second question you can't say "If i go to the store, Then i'll be at the store" No nothing like that you have to write the second question in If-then form and for the first one you have to
write the inverse and converse for the sentence "If it is Saturday, then there is no school. "

Answers

Answer:

see below

Step-by-step explanation:

1.  The inverse means take the not of both sides

If it is Saturday, then there is no school.

 Inverse     If it is not Saturday, then there is school.

The converse flips the then and the if

If there is no school, then it is Saturday.

2.) The first given part is the if, what will happen is the then part

If you are a freshman, then you are required to attend orientation.

3.)

Given: 3x+1=-14 Prove: x=-5

Statements    Reasons

1. 3x+1=-14     Given

2. 3x=-15          Subtraction Property of equality  ( since we subtract 1 from                         each side)

3. X=-5          Division Property  ( since we divide each side by 3)

greatest common factor of 6 and 35​

Answers

                                       [tex]\left[\begin{array}{ccc}Your\;Answer\;is\;1.\end{array}\right][/tex]

[tex]Explanation[/tex] \/

Find the prime factorization of 6

[tex]6=2*3[/tex]

Find the prime factorization of 35

[tex]35 = 5 * 7[/tex]

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, [tex]GCF = 1[/tex]

1 is the largest positive integer that divides both 6 and 35 without leaving a remainder.

The greatest common factor (GCF), also known as the greatest common divisor (GCD), of two numbers is the largest positive integer that divides both of the numbers without leaving a remainder.

Step 1: Prime factorization of 6

The prime factors of 6 are 2 and 3.

So, 6 = 2 * 3.

Step 2: Prime factorization of 35

The prime factors of 35 are 5 and 7.

So, 35 = 5 * 7.

Step 3: Determine the common prime factors

The common prime factors of 6 and 35 are 1.

Step 4: Multiply the common prime factors

Multiplying the common prime factors gives us 1.

Therefore, the GCF of 6 and 35 is 1.

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Kaylee is selling candles to raise money for her lacrosse team. The large candles sell for $25 each and the small
candles sell for $10 each. She needs to raise $600 Write a function to represent how many of each type of candle
Kaylee needs to sell. Let a represent the number of large candles, and let y represent the number of small candles.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Cost of large candle (a) = 25 each

Cost of small candles (y) = 10 each

Amount needed = $600

Number of each that must be sold to raise needed amount:

25a + 10y = 600.

Here a = number of large candles that must be sold at the price

y = number of small candles that must be sold at the price

Summing the revenue both should result in the required amount.

I need help on this........................

Answers

Answer:

125

Step-by-step explanation:

i did it too

Five pounds of rice at a store cost $6.50. Rice seasoning cost $1.00 per bottle.
Use the ray tool to graph the total cost of rice and bottle of seasoning, C, vs pounds of rice,p, at this store

Answers

Answer:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pounds of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for number of pounds (P) and cost (C) the we can graph the points from that table to get the final graph.

Attached graph is the final graph.

Other Questions
Help!Find the sum-1/2 + 3/10 Read the line from Grendel.Hrothgar met with his council for many nights and days, and they drank and talked and prayed to their curious carved-out creatures and finally came to a decision.Which statement best describes Grendels perspective?He describes the length of the mens decision-making process.He describes the way the men socialize and relax together.He thinks that the mens religious behavior is strange and interesting.He thinks that Hrothgar is a strong leader who will challenge any opponent. T/F : process costing is applied to operations with repetitive production and similar products. Transitioning from providing care as a nurse to providing care as a primary care provider requires a change in mindset and approach to patient care. What challenges may be encountered as you transition into the clinical setting in your studies. How can one prepare for those challenges? What professional or other resources might you consult as you make the transition? A company that uses the perpetual inventory system sold goods to a customer on account on May 7 for $88. The company has the following inventory information: The company uses the Weighted - Average method of inventory costing. Which of the following journal entries correctly records the sale on May 7 (rounded to two decimal places)? Herbert, Inc., acquired all of Rambis Companys outstanding stock on January 1, 2020, for $617,000 in cash. Annual excess amortization of $13,500 results from this transaction. On the date of the takeover, Herbert reported retained earnings of $430,000, and Rambis reported a $228,000 balance. Herbert reported internal net income of $63,750 in 2020 and $75,850 in 2021 and declared $10,000 in dividends each year. Rambis reported net income of $22,600 in 2020 and $34,700 in 2021 and declared $5,000 in dividends each year.a. Assume that Herberts internal net income figures above do not include any income from the subsidiary.If the parent uses the equity method, what is the amount reported as consolidated retained earnings on December 31, 2021?What would be the amount of consolidated retained earnings on December 31, 2021, if the parent had applied either the initial value or partial equity method for internal accounting purposes? The Atlantic Medical Clinic can purchase a new computer system that will save $9,000 annually in billing costs. The computer system will last for eleven years and have no salvage value. Click here to view Exhibit 138-1 and Exhibit 13B-2. to determine the appropriate discount factor(s) using tables Required: What is the maximum price (ie, the price that exactly equals the present value of the annual savings in billing costs) that the Atlantic Medical Clinic should be willing to pay for the new computer system if the clinic's required rate of return is: (Round your final answer to the nearest whole dollar amount.) 1. Nine percent 2. Ten percent in diodorus' quasi-historical account, which mythological tribe mounts an expedition against the atlanteans in the west of north africa? Help please itll mean alot will give rating and brain!! Masking Low Quality DataLow quality data can have tremendous down-stream implications if it is not dealth with early. A common technique to mitigate the effects of low quality data is to 'mask' it. To mask the data means to change the base calls to some predefined letter that is known to represent data to be ignored.The FASTQ file format has both DNA base call and quality information for each sequence in the file. The length of the sequence and the length of the quality information are the same and with some simple programming, the quality value for each base of a sequence can be found. Python program that does the following;Outputs to the screen the sequence reads in FASTA format with low quality bases changed to an 'N'The quality cutoff to define an 'N' is entered by the userThe FASTQ file to mask is entered by the userhintfrom Bio import SeqIOsIO = SeqIO.parse('question2.fastq','fastq')for record in sIO:qualities = record.letter_annotations['phred_quality']print(qualities) Assume that cookies and cupcakes are substitutes in production. Suppose there is an increase in the price at which cupcakes are sold. How will this affect the supply curve for cookies? 1) Supply of cookies will increase. 2) Supply of cookies will decrease. 3) Supply of cookies will not change, but quantity supplied will decrease. 4) Supply of cookies will not change, but quantity supplied will increase. Laws aimed at protecting consumers, the environment, and workers are collectively known asA. the social network.B. the social contract.C. economic regulations.D. social regulations. Suppose we have Dagwood, who has a current income of $200K and expected future income of $160K. He has zero in current wealth and zero expected future wealth. Dagwood's behavior is consistent with the life-cycle theory of consumption. For one, he perfectly smoothes consumption and two, since he is in his peak earning years, he is saving now so that he can maintain his current level of consumption in the future. Given that Dagwood faces a real interest rate of negative 5% (-0. 05). Please answer the following questions. a) (5 points) Calculate Dagwood's optimal consumption bundle showing all work. Then draw a completely labeled graph (the two period consumption model) depicting this initial optimal consumption bundle as point CA (10 points for a completely labeled graph - be sure to label the no lending/ no borrowing point(s) = NL/NB and the slope of the budget constraint(s)) b) (5 points) Now Dagwood goes to the doctor and finds out that he is not as healthy as he thought (too many eating binges!). The doctor tells him that he is fine now but next period he is likely to be ill and that if you had anything in life that you really wanted to do (as in leisure), you should do it now. As a result, Dagwood's preferences change so that he prefers to consume like our friend Homer, that is, Dagwood prefers to consume twice as much today relative to next period. Resolve for Dagwood's optimal consumption bundle, given these new preferences, and label as point CB- c) (5 points) Ben Bernanke and the Fed are finally happy with the way the economy is headed and to be honest, is now fearful of overheating. As such, the Fed tightens and the real rate of interest rises to 10% (0.10). Given his change in preferences as above in part b), recalculate the optimal bundle for Dagwood and add this point to your graph and label as point C*c. d) (10 points) Is Dagwood better off or worse off due to the rise in the real rate of interest? Be sure to define the income effect and the implications of the income effect on Dagwood's current consumption. Then define the substitution effect and the implications of the substitution effect on Dagwood's current consumption. Comment on whether these income and substitution effects work in the same or opposite direction (i.e., is it a tug of war or do they work in the same direction?) in this particular case? mni estimations based on 413 right clavicles, 312 left clavicles, 240 right femurs and 300 left femurs of the same species would represent how many animals? Who was Nicolaus Copernicus? 1. Generate appropriate descriptive statistics to answer thefollowing (Pallant) questions:-what percentage of the staff in this organization are permanentemployees? (variable employstatus),-what i which policy supports information in the passage and the graph?detentecamp david accordsstrategic defense initiativesalt treaties Blue Sky Company's 12/31/08 balance sheet reports assets of $5,000,000 and liabilities of $2,000,000. All of Blue Sky's assets' book values approximate their fair value, except for land, which has a fair value that is $300,000 less than its book value. On 12/31/08, Aaron Corporation paid $5,100,000 to acquire Blue Sky. What amount of goodwill should Aaron record as a result of this purchase? Select one: O a. $2,400,000 O b. $100,000 OC. $1,800,000 O d. $2,000,000 Oe. $2,100,000 a consumer owes $2,550 on a credit card with a 21.9% annual interest rate. assuming the consumer makes fixed payments and does not charge any more purchases with the card, what is the total monthly payment needed to pay off the card in three years? show all work and round your answer to the nearest penny. Solve the system of linear equations by elimination. xy=1 x+3y=3