Karen bought a coat for 20% more than the price she wanted to pay. If she paid $150, how much was she looking to pay?

The first one to get both correct will be brainiest!!!!!!!

Answers

Answer 1

120% = $150

divide both sides by 6

20% = $25

We want the regular price, so 100%.

multiply both sides by 5

100% = $125

Answer 2

Answer:125

Step-by-step explanation:

150/1.20

=125


Related Questions

3 1⁄2 kilometers = hectometers

Answers

Answer:

35 hectometers

Step-by-step explanation:

1 kilometer=10 hectometers

3 1/2=7/2

7/2*10=35

Answer:

[tex]\large\boxed{3\dfrac{1}{2}\ kilometers=35\ hectometers}[/tex]

Step-by-step explanation:

[tex]PREFIXES\\\\mega\ (M)=10^6\\\\kilo\ (k)=10^3\\\\hecto\ (h)=10^2\\\\deko\ (da)=10\\\\decy\ (d)=10^{-1}=0.01\\\\centi\ (c)=10^{-2}=0.01\\\\mili\ (m)=10^{-3}=0.001\\\\mikro\ (\mu)=10^{-6}=0.000001[/tex]

[tex]3\dfrac{1}{2}=3.5\\\\1\ kilometers=10\ hectometers\ (1\ km=10\ hm)\\\\3\dfrac{1}{2}\ km=3.5\ km=3.5\cdot10\ hm=35\ hm[/tex]

answer the question below please answer correctly

Answers

Answer:

x=4

Step-by-step explanation:

Using cross multiplication, we can simplify the equation to

-15x=-60

Then we can divide by -15 on both sides getting x=4

What is 53 divided by 30?

Answers

Answer:

1.76666666666666666

Answer:

53/30=1.7666666...

Step-by-step explanation:

Write the word sentence as an inequality.
The quotient of a number g and -2 is fewer than -6.
An inequality is a

Answers

Answer:

[tex]\displaystyle -6 > \frac{g}{-2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{g}{-2} < -6[/tex]

The keywords are fewer than, so the inequality receives the less than symbol, NOT greater than or equal to.

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

The word sentence translates to the inequality 'g / -2 < -6', representing the relationship where the quotient of a number g and -2 is less than -6.

Writing the word sentence 'The quotient of a number g and -2 is fewer than -6' as an inequality involves translating the words into a mathematical expression. Inequality symbols are used to show how two measurements, or in this case, expressions, are related. The quotient of a number and another number is represented by the division of those two numbers. 'Fewer than' indicates that the expression on the left side is less than (<) the expression or value on the right side.

Therefore, the statement can be translated to the mathematical inequality as g / -2 < -6. This inequality shows the relationship between the variable g and the numbers -2 and -6, with the quotient of g and -2 being less than -6.

What is the image of −6,3)
(−6,3) after a reflection over the y-axis?

Answers

The image is (6,3) after a reflection over the y-axis

Final answer:

The image of the point (-6,3) after a reflection over the y-axis is (6,3), because a reflection over the y-axis changes the sign of the x-coordinate while leaving the y-coordinate unchanged.

Explanation:

The question is asking for the result of a reflection of the point (-6,3) over the y-axis. A reflection over the y-axis will invert the x-coordinate of the point but leave the y-coordinate unchanged. Hence, the reflected point will have the same y-coordinate but the opposite x-coordinate. The transformation formula for a reflection over the y-axis is (x, y) to (-x, y).

Applying this formula to the point (-6,3), we change the sign of the x-coordinate from -6 to 6, while the y-coordinate remains the same. Therefore, the image of the point (-6,3) after the reflection over the y-axis is (6,3).

Parallelograms:
ABCD∼A1B1C1D1.
Find BC, B1D1

Answers

Answer:

[tex]BC = 4.8[/tex] and [tex]B_{1}D_{1} = 6.25[/tex]

Step-by-step explanation:

The parallelograms ABCD and [tex]A_{1} B_{1} C_{1}D_{1}[/tex] are similar.

Now, AB = 8 (Given in the figure), so CD = 8.

Now, we can write, [tex]\frac{BC}{B_{1}C_{1}}  = \frac{CD}{C_{1}D_{1}}[/tex]

⇒ [tex]\frac{BC}{3} = \frac{8}{5}[/tex]

{Since, given that [tex]B_{1}C_{1} = 3[/tex] and [tex]C_{1}D_{1} = 5[/tex]}

[tex]BC = \frac{8 \times 3}{5} = 4.8[/tex] (Answer)

Again, we can write, [tex]\frac{BD}{B_{1}D_{1}}  = \frac{CD}{C_{1}D_{1}}[/tex]

⇒ [tex]\frac{10}{B_{1}D_{1}} = \frac{8}{5}[/tex] {Since, BD = 5 + 5 = 10}

[tex]B_{1}D_{1} = \frac{5 \times 10}{8} = 6.25[/tex] (Answer)

What triangle congruence postulate would prove that the two triangles are congruent?

Answers

Answer:

SAS

Step-by-step explanation:

You go to a school dance. There is an entrance fee, and there are slices of pizza for sale. After having 1 slice of pizza, you have spent a total of $6. After having 2 more slices of pizza, you have spent a total of $10. Write an equation that represents the total cost y after buying x slices of pizza at the dance

Answers

Answer:

Equation that represents the total cost is  y =  4 +  2 x

Step-by-step explanation:

Here,  x :  slices of pizza eaten at the dance.

y :  total cost paid in the school dance

Let a : Cost of each slice of pizza.

So, according to the question:

Entrance fee + cost 1 slice of pizza = $6

or, Entrance fee = $ 6 - Cost of 1 slice  .......  (1)

Similarly, Entrance fee + cost 3 slice of pizza = $10

or, Entrance fee = $ 10 - Cost of 3 slice ............ (2)

Comparing both equation , we get:

$ 6 - Cost of 1 slice = $ 10 - Cost of 3 slice

or, 6 - a  = 10 - 3 a

or, 2 a  = 4

a= 2, So the cost of each slice of pizza = $2

Putting the value of a in 1 we get

Entrance fee =  6 - $ 2 =$4

Now, the cost of x slice of pizza = x ( $2) = 2x

So, the total cost y for x slice of pizza = Entrance fee+ Cost of x  slices

or,  y = $ 4 +  2 x

Equation that represents the total cost is  y =  4 +  2 x

Final answer:

The equation that represents the total cost y after buying x slices of pizza is y = 2x + 4, which includes the cost of each slice of pizza ($2) and the entrance fee ($4).

Explanation:

To write an equation that represents the total cost y after buying x slices of pizza at the dance, you can use the information given to create two points: (1, $6) and (3, $10). From the first point, you know there is a fixed entrance fee plus the cost of one slice of pizza. By the time you purchase two more slices (for a total of three), the cost is $10. This scenario implies that each additional slice of pizza has a constant price.

With two points, you can find the slope of the line, which represents the price of each slice of pizza. The slope m is the change in cost divided by the change in the number of slices: m = ($10 - $6) / (3 - 1) = $4 / 2 = $2 per slice. The entrance fee is the y-intercept of the line, which is the initial cost without any pizza, and can be found by extending the line back to the y-axis. The total cost without any pizza is the cost after one slice minus the cost of that slice, which gives us $6 - $2 = $4.

The final equation becomes y = 2x + 4, where y represents the total cost and x represents the number of slices of pizza purchased.

PLEASE HELP ASAP!!!

What is the approximate area of sector TSV?
Round the answer to the nearest tenth.

A. 3.1 m^2

B. 2.3 m^2

C. 1.1 m^2

D. 0.5 m^2

Answers

Answer:

C)  The area of the sector TSV  = 1.1 sq m.

Step-by-step explanation:

Here, the angle subtended by TSV at  the center of the circle  = 3 radians.

1 Radians = 57.2958°

So, 3 radians   = 3 x 57.2958 = 171.887 °

The angle of the sector TSV = 171.887 °

Now, the angle of any sector of a circle with angle Ф at the center  

=  [tex]\frac{\theta}{360}  \times \pi \times (r^2)[/tex]

Here, r  = 0.87 m

So, the area of the sector TSV  =  [tex]\frac{171.887}{360}  \times \frac{22}{7} \times (0.87)^2 = 1.1358[/tex]

or, the area of the sector TSV  = 1.13 sq m.

Now, rounding off the area to the nearest tenth ,we get:

The area of the sector TSV  = 1.1 sq m.

Select the correct answer from the drop-down menu.
If A and B are independent events, P(A and B) =

Answers

P(a)

Explanation I just did it :)

For independent events A and B, the probability of both occurring P(A and B) is the product of their individual probabilities: C. P(A) * P(B).

What are independent events?

Independent events are events in probability theory where the occurrence of one event does not affect the occurrence or likelihood of the other.

Let's use the definition of independent events to derive the formula for the probability of the intersection of two independent events.

If events A and B are independent, then the definition of independence is given by:

P(A and B) = P(A) * P(B)

This means that the probability of both events A and B occurring is the product of the individual probabilities of A and B.

So, if A and B are independent events, P(A and B) = P(A) * P(B). Therefore, the correct answer is C. P(A) * P(B).

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If h(x)=x-7 and g(x)=x^2, witch expresión is equivalent to(g*h)(5)?

Answers

Answer: 4

Step-by-step explanation:

(g*h)(5) = 4

Firstly, h(5) = 5 - 7 = -2

Then, evaluate g(-2) = (-2)^2 = 4

Match the real-world problem to its constant of proportionality.

a. $18.36 for 3 pizzas [box]
b. $4.17 for 3 pounds of bananas [box]
c. $16.48 for 4 pounds of potatoes [box]
d. 2 cups of flour to make 24 cookies [box]


Place in the box 12 4.12 6.12 1.39

WIN BRAINLIEST

Answers

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒[tex]x \propto y \implies k = \frac{x}{y}[/tex]  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, [tex]k = \frac{x}{y} = \frac{18.36}{3}  = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, [tex]k = \frac{x}{y} = \frac{4.17}{3}  = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, [tex]k = \frac{x}{y} = \frac{16.48}{4}  = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  [tex]k = \frac{x}{y} = \frac{24}{2}  = 12[/tex]

So, the proportionality constant is 12.

Peter filled 5 cups each with 1 pound of candy. How much candy did the 5 cups contain altogether? 5 1/2 pounds
6 1/2 pounds 7 pounds 7 1/2 pounds

Answers

Step-by-step explanation: i think it is B

how can you find the function rule from a table of values

Answers

Go to BTS channel it will give you the answer

2,952 = 72=
It’s is another hard question on my math homework pls help

Answers

Answer:41

Step-by-step explanation:

The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the resulting function.

Provide your answer below:

Answers

Answer:

1/2e^x -3

Step-by-step explanation:

Final answer:

The resulting function after vertically stretching y = ex by a factor of 2, reflecting it across the x-axis, and shifting it down 3 units is y = -2ex - 3.

Explanation:

The original function is y = ex. To find the resulting function after the described transformations (vertically stretched by a factor of 2, reflected across the x-axis, and shifted down 3 units), we perform each transformation step by step.

Vertical Stretch: Multiplying the function by 2 gives us 2ex.Reflection across the x-axis: Multiplying by -1 to reflect it gives us -2ex.Shift down by 3 units: Subtracting 3 from the function gives us -2ex - 3.

Therefore, the resulting function after all transformations is y = -2ex - 3.

Jo is thinking of a number. Four less than 9 times the number is 176. Find Jo’s number.

Answers

Answer:

Jo's thinking about the number 20.

Step-by-step explanation:

9x-4=176

9x=176+4

9x=180

x=180/9

x=20

Jerry has 9 keys on his keyring. 4 of them are silver and 5 are gold. If he randomly chooses a key.
what is the probability that the key would be silver?

Answers

the answer would be 4/9 , which cannot be simplified .

Answer:

Silver keys = 4

Gold keys = 5

Total number of keys = 9

probability of getting a silver key = P(4/9)

Step-by-step explanation:

P(4/9) because 4 keys are silver among 9 keys. Probability is the number of chosen matter divided by the total number of matters.

wuts 4x +6x= plzzzzzzzzzzzzzz help me im in 4th grade

Answers

Answer:

10x

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

since they both are the same just add them and done

Bella plans to put $300 into a savings account. She can place her money into an account represented by p(x) = 3x+300, or into another account represented by
n(x) =300(1.04)^x. Which account has the highest value in 5 years? Which account has the highest in 12 years? Show your work!​

Answers

Answer:

3(5) + 300 = 15 + 300 = 315

300(1.04)^5 = 300 * 1.21665 = 365

In 5 years, the second account is higher.

3(12) + 300 = 336

300(1.04)^12 = 300 * 1.601 = 480

In 12 years, the second account is higher

How can ΔABC be mapped to ΔXYZ?

Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form triangle X Y Z.

First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

vertex B to vertex Z
vertex B to vertex Y
vertex A to vertex Z
vertex A to vertex Y

Answers

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

AB = XY = 25 cm;AC = XZ = 29 cm;∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

vertex A coincides with vertex X;vertex B coincides with vertex Y;vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.
Jack spent $22 on 1 daylily and 5 geraniums. Julio spent $30 on 13 daylilies and 1 geranium. Find the cost of one daylily.​

Answers

Cost of one daylily is $2 and cost of one geranium is $4.

Step-by-step explanation:

Let,

Cost of one daylily = x

Cost of one geranium = y

According to given statement;

x+5y=22    Eqn 1

13x+y=30    Eqn 2

From Eqn 1;

x=22 - 5y

Putting this value of x in Eqn 2;

[tex]13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256[/tex]

Dividing both sides by -64

[tex]\frac{-64y}{-64}=\frac{-256}{-64}\\y=4[/tex]

Putting y=4 in Eqn 1

[tex]x+5(4)=22\\x+20=22\\x=22-20\\x=2[/tex]

Cost of one daylily is $2 and cost of one geranium is $4.

Keywords: linear equation, substitution method

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how much horsepower would a Challenger SRT® Hellcat Redeye Widebody need to tow the SS Delphine up the industry standard: Davis Dam Grade Climb?

Pro Tips:
Davis Dam assumed grade = 7% Air density is sea level conditions (.002377 slugs/f^t3) w(weight) of the SS Delphine + trailer + Redeye = 3,922,000 + 150,000 + 4451 Lbs Crr = coefficient of rolling resistance = .015 Assume Combined CDA is 1555 ft^2 SAE J2807 (Davis Dam Grande Climb) - min speed is 40mpg (59 ft/s) F(drag) = 1/2p x V^2 x C(d)A F(rolling resistance) = W x cos x Crr F(weight) = W x sin F(sum) = F(drag) + F(rr) + F(weight) P = F(sum)XV convert to horsepower = P(1hp/550ft lbf/sec)

Answers

Answer: I am getting a result around the 54,800 area, so I am selecting the 55,000 HP answer.

Answer:

37769 hp

Step-by-step explanation:

from the pro tips given w ( weight of the SS Delphine + trailer + Redeye) = 3922000 + 150000 + 4451 Lbs Crr = 4076451 ibf

coefficient of rolling resistance = 0.015

Combined CDA = 1555 ft ^2

to get Ф = tan ⁻¹ ( 0.07 ) = 4.0041 degrees

To get F (w)  you will multiply it with sin Ф

= F ( w ) = 4076451 ibf * sin( 4.0041 ) = 284655.02 Ibf

to calculate F ( rr ) you will multiply it with cos Ф

F( rr) = 4076451 ibf * 0.015 * cos ( 4.0041 ) = 60997.50 ibf

the total sum of F ( force ) will be

F ( rr ) + F ( w)

= 60997.50 + 284655.02 = 352085.82 Ibf

therefore P ( power ) will be

p = 352085.82 ibf * 59 ft/s = 20773063.27 ft*ibf/s

to calculate how much horsepower the challenger will need to tow the SS Delphine will be calculated as below

HP = (20773063.27 ft*ibf/s ) * ( 1 hp / 550 ft*ibf/s ) = 37769.21 = 37769 hp  

Mitchell owns 6 pairs of hockey skates. What equation could Gabe write to find the total number of hockey skates Mitchell has?​

Answers

Answer: 6x2=y

Step-by-step explanation:

If Mitchell owns 6 pairs of hockey skates, then The equation for the number of hockey stakes can be written as, X - 12 = 0

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Mitchell owns 6 pairs of hockey skates,

The equation for number of hockey stakes  = ?

Suppose, the number of hockey stakes = X

According to given condition,

there are 6 pairs,

It is known that,

1 pair = 2 hockey stakes

So,

The equation is,

X = 2 x Number of pairs,

X = 2 x 6

X = 12

Hence, the equation is X - 12 = 0

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Which equation shows y=-x+4 is in standard form?
2x - y=8
Ox+2y=-8
O
x + 2y = 8
2x + y = 8

Answers

Answer:

(c) [tex]x + 2y = 8[/tex]

Step-by-step explanation:

The question is missing some important data which is necessary to solve it.

The correct question is as follows:

Which equation shows [tex]y=-\frac{1}{2}x+4[/tex] is in standard form?

(a) [tex]2x-y=8[/tex]

(b) [tex]x + 2y=-8[/tex]

(c) [tex]x + 2y = 8[/tex]

(d) [tex]2x + y = 8[/tex]

Solution:

Given equation:

[tex]y=-\frac{1}{2}x+4[/tex]

To convert the given equation to standard form.

The standard form of a linear equation is given by:

[tex]Ax+By=c[/tex]

where

A is a positive integer  and B and C are integers

We have:

[tex]y=-\frac{1}{2}x+4[/tex]

Multiply both sides by 2  to remove the fraction

[tex]2y=(-\frac{1}{2}x\times 2)+(4\times 2)[/tex]

[tex]2y=-x+8[/tex]

Adding [tex]x[/tex] both sides

[tex]x+2y=x-x+8[/tex]

[tex]x+2y=8[/tex]

∴ The standard form of the equation is ⇒ [tex]x+2y=8[/tex]

What is the perimeter of a rectangle with a length of 9 - 2y and width of 7?

Answers

Answer:

The perimeter of the rectangle is 32 - 4y

Step-by-step explanation:

To find the perimeter, we will simply follow the steps below;

First write down the formula for finding the perimeter of a rectangle

The formula for finding perimeter in a rectangle is;

perimeter = 2l +2w

where l= length  of the rectangle  and   w is equal to width of the rectangle

From the question given, length =9 - 2y      and width =7

We can now proceed to insert the values into the formula;

perimeter = 2l +2w

                 =2(9-2y) + 2(7)

Then we will now simplify

perimeter  =2(9-2y) + 2(7)

                 =18 - 4y + 14

                = 18 + 14 - 4y

                 =32 - 4y

Therefore, the perimeter of the rectangle is 32 - 4y

The perimeter of the rectangle is 32-4y.

Step-by-step explanation:

Given information:

The length of the rectangle = 9-2y

The width of the rectangle = 7

Now

The perimeter (P) of the rectangle is :

[tex]P = 2( \text{Length} + \text{width})[/tex]

[tex]P= 2(9-2y+7)\\P=18-4y+14\\P=32-4y[/tex]

Hence, the perimeter of the rectangle is 32-4y.

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a male lion eats about 108 pounds of meat in a week about how much does it eat in a day

Answers

Answer:

15.43 pounds of meat in a day

Step-by-step explanation:

108 pounds per week,

1 week=7 days,

108/7=15.43

Answer:

15 remainder 3

Step-by-step explanation:

108÷7

7 because 1 week= 7 days

108÷7=

15 remainder 3

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?
The piggy bank has nickels and dimes.

Answers

Answer:

64 nickels and 24 dimes are there in the piggy bank.

Step-by-step explanation:

There are  $5.60 in the piggy bank in nickels and dimes.

Let x number of nickels and y number of dimes are there.

Now, 1 nickel ≡ 0.05 dollars and 1 dime ≡ 0.1 dollars.

So, 0.05x + 0.1y = 5.6

⇒ 5x + 10y = 560

x + 2y = 112 ....... (1)

Again, from the condition given we can write that,

So, 3y - 8 = x ........ (2)

Now, solving (1) and (2) we get 3y - 8 + 2y = 112

⇒ 5y = 120

y = 24  

And from equation (2) we get x = 3y - 8 = 64.

So, there are 64 nickels and 24 dimes in the piggy bank. (Answer)

Answer:

 64 nickels and 24 dimes in the piggy bank.

Step-by-step explanation:

what is the answer to 5.48 * 15.12​

Answers

Answer:

82.8576

Step-by-step explanation:

82.8576 or if it needs to be a decimal 51786/625

I have a precalculus problem about solving the equation can somebody help me please

Answers

Answer:

Yeah

Step-by-step explanation:

find a formula

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A direct variation function contains the points (9, 3) and (12, 4). Which equation represents the function?Answer: y = x/3Have a nice day! Write an equation of the line that passes through the points (2, -1) and (2, 5). Show all work Which of the following statements are true as a block of ice melts? Check all that apply. a. The temperature of the ice/water system remains constant. b. Heat energy leaves the ice/water system. c. Heat energy enters the ice/water system. d. The temperature of the ice/water system decreases.e. The temperature of the ice/water system increases. When a plant encounters a pathogen, it initiates a series of complex signaling pathways that may result in being able to fend off future attacks by the same pathogen. This mechanism may be the closest process plants have to an immune system. Which of the following describes this process?a) systemic acquired resistance b) herbivore-induced plant volatility c) reactive oxygen species generation d) chromatin modification. Only 6 pleasee its due tomorrow thanks Please help me and answer this question. (x2) Vandelay Industries is considering the purchase of a new machine for the production of latex. Machine A costs $3,130,000 and will last for six years. Variable costs are 35 percent of sales, and fixed costs are $270,000 per year. Machine B costs $5,351,000 and will last for nine years. Variable costs for this machine are 30 percent of sales and fixed costs are $200,000 per year. The sales for each machine will be $11.6 million per year. The required return is 8 percent, and the tax rate is 21 percent. Both machines will be depreciated on a straight-line basis. The company plans to replace the machine when it wears out on a perpetual basis. Calculate the EAC for each machine. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.) Soil tilth refers to ________. Select one: A. ratio of bulk density to particle density B. the moisture content at which a soil is best suited for tillage C. the physical suitability of a soil for plant growth D. the bearing strength of a soil under a given downward force E. micro-aggregates produced as a by-product of tillage You are a scientist who notices great similarity between the spines of a hedgehog and the spines of a porcupine. When you study their genetics, however, you notice that the set of genes that code for hedgehog spines is a different set of genes than the set that codes for porcupine spines. You decide this must be an example of:a. convergent evolutionb. divergent evolutionc. coalescent evolutiond. unifying evolution the kota people live in this African country what are the supply shifters? Michael purchased a condominium unit in the Eagle Rock complex. The complex includes a number of common facilities such as an outdoor swimming pool, recreation center, tennis courts, and walking trails. Under the typical condominium arrangement, these common elements are owned bya. a corporation in which Michael and the owners of the other units in the condominium own stock.b. Michael and the owners of the other units in the condominium in the form of divided interests.c. the association of homeowners in the condominium.d. Michael and the owners of the units in the condominium in the form of undivided percentage interest. X divided by X+4 =.6666 In producing product AA, 6,300 pounds of direct materials were used at a cost of $1.10 per pound. The standard was 6,000 pounds at $1.00 per pound. The direct materials quantity variance is: A school population consists of 33 seventh-, 47 eighth-, and 37 ninth-grade students. If we select one child at random from the total group of students, what is the probability that the child is in the ninth-grade PLS HELP ASAP I WILL GIVE BRAINERLIST In the US court system, a defendant is assumed innocent until proven guilty. Suppose that you regard a court system as a hypothesis test with these null and alternative hypotheses: H0: Defendant is innocent Ha: Defendant is guilty There are 2 possible decisions regarding H0 and 2 possible truths as to the innocence or guilt of the defendant, making 4 possible combinations. What are those 4 combinations? Identify the two correct decisions. everly Company has determined a standard variable overhead rate of $2.75 per direct labor hour and expects to incur 1.0 labor hour per unit produced. Last month, Beverly incurred 1,100 actual direct labor hours in the production of 1,200 units. The company has also determined that its actual variable overhead rate is $2.70 per direct labor hour.Calculate the variable overhead rate and efficiency variances also indicate if the variable are favorable or unfavorable the total amount of over- or underapplied variable overhead. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable.)Variable Overhead Rate Variance Variable Overhead Efficiency VarianceOver- or Underapplied Variable Overhead g As a second step in thenerd-proposal, Wouldbe Fianc needs to obtain DNA fragments that are the right size to make up the letters spelling out "Will you marry me?" How would they do that? A)Use restriction enzymes to cut the DNA at specific sequence sites. B)Waitfor helicase to unzip the genes. C)Use DNA ligase to stick together the Okazaki fragments. D)Alter the reading frame of the mRNA. A project manager demonstrates integrity in ways that include making honest decisions, protecting people, defending core values, leading major change, showing respect, establishing a culture of honesty, and displaying total commitment to project and people. a. True b. False