Lester started the day with $12 in his pocket he is saving for the new mop with the snazzy Pinstripes on Amazon Prime he works a job making $8 an hour the moped cost $268 write the equation that represents how many days letter needs to work to have $268

Answers

Answer 1

Answer:

32h (1 day and 8h )

Step-by-step explanation:

268-12=256

256:8= 32

32h

Answer 2

Answer:

8x+12= 268

Step-by-step explanation:

We know that Lester already has $12, so that would be: +12

Since he works for $8 an hour, x will represent each hour: 8x

*x will determine the number of hours, if you want days, then divide the amount of hours by 24.


Related Questions

which phrase best summarizes what the bird is doing in the photo?

which phrase best summarizes what the bird is doing in the photo?

Answers

Answer: a

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

obtaining food

A group of friends goes out to lunch and decides to split the bill. Their bill is $32. 50, plus they want to leave a 20% tip. The final amount will be split 4 ways. What is the amount each person will pay? $7. 50 $8. 15 $9. 20 $9. 75.

Answers

Percent counts the number of a quantity compared to another quantity's 100 amount. The amount each person would pay is given by: Option D: $9. 75

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For the given case,

Bill for lunch = $32.50

Tip  = 20% of bill = \(\dfrac{32.50}{100} \times 20 = \dfrac{32.50}{5} = 6.50\) (in dollars)

Total amount = Bill + Tip = $39

This amount has to be divided in 4 equal part.

Thus, each part of those 4 parts would be \(\dfrac{39}{4} = 9.75\) (in dollars).

Thus, the amount each person would pay is given by: Option D: $9. 75

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Need help on 5 don’t get it

Need help on 5 dont get it

Answers

Answer:

3=127

4=53

2=53

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v=pi r^2 h solve for pi

please help asap
will mark brainliest

Answers

Answer:

\(\pi=\frac{v}{hr^2}\)

Step-by-step explanation:

So we have:

\(v=\pi r^2h\)

And we want to solve for π.

First, divide both sides by h:

\(\frac{v}{h}=\pi r^2\)

Now, divide both sides again by r²:

\(\pi=\frac{v}{hr^2}\)

And this is our answer :)

Answer:

\(\frac{v}{r^{2} h} = \pi\)

Step-by-step explanation:

Simply divide both sides by \(r^{2}h\) to get pi by itself.

(1 point) Find a formula for a function whose graph
is obtained from by shifting left 1 unit, vertically
stretching by a factor of 6, and shifting up 2 units.

Answers

Let's start with a basic function, denoted as f(x), and apply the given transformations step by step.

1. Shifting left 1 unit:
To shift the graph 1 unit to the left, we replace x with (x + 1). Therefore, the function becomes f(x + 1).

2. Vertically stretching by a factor of 6:
To vertically stretch the graph by a factor of 6, we multiply the function by 6. The function now becomes 6 * f(x + 1).

3. Shifting up 2 units:
To shift the graph up 2 units, we add 2 to the function. The final formula is:
f(x) = 6 * f(x + 1) + 2.

So, the formula for the function, after applying the given transformations, is 6 * f(x + 1) + 2.

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assume z is a standard normal random variable. then p(1.41 < z < 2.85) equals . a. .4772 b. .3413 c. .8285 d. .0771

Answers

The value of P(1.41 < Z < 2.85)  is 0.0771.

Hence, the correct answer is d.

A normally distributed random variable with mean μ= 0 and standard deviation σ= 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Because the Standard Normal Distribution is a probability distribution, the area under the curve between two points indicates the likelihood that variables will take on a range of values.

The whole area under the curve is one, or one hundred percent.

The mean and variance of a normal distribution are governed by two factors.

A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

The probability that a standard normal random variable Z is between 1.41 and 2.85 can be found using a standard normal table with a standard normal cumulative distribution function.

The answer is approximate:

P(1.41 < Z < 2.85)

= P(Z < 2.85) - P(Z < 1.41)

= 0.9927 - 0.9185

= 0.0742

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Create ABC by drawing AC. AC represents the foreman’s line of sight to the top of the landfill. What is m

Answers

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

What is triangle?

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

If a₁ = 2 and an+1 = (an)² + 1 then find the value of a3.

Answers

After answering the given query, we can state that Therefore, the value equation of a₃ is 26.

What is equation?

The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the equation 3x + 5 = 14. The relationship between the two lines on either side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.

Given: a₁ = 2 and an+1 = (an)² + 1

: the value of a₃

we can find the value of a₂ and a₃:

a₂ = a₁² + 1 = 2² + 1 = 5

a₃ = a₂² + 1 = 5² + 1 = 26

Therefore, the value of a₃ is 26.

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HELP ASAP!!! Carter is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let P represent Carter's total pay on a day on which he sells a computers. The table below has select values showing the linear relationship between x and P. Determine the base pay Carter makes regardless of computer sales.​

HELP ASAP!!! Carter is a salesperson who sells computers at an electronics store. He makes a base pay

Answers

1. The base pay Carter makes regardless of computer sales is $100

2. The linear relationship that shows the sales will be P = 100 + 10x

How to illustrate the expression?

From the information given, Carter is a salesperson who sells computers at an electronics store and he makes a base pay amount each day and then is paid a commission for every computer sale he makes.

The starting salary is $100. This is the base pay.

The commission given is $10 per good sold. Therefore, the expression will be:

= 100 + 10x

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How do you calculate sales tax for an item?

Answers

Step-by-step explanation:

Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.

Answer:

sup\

Step-by-step explanation:

\(=59(F−32)\)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

Think of the equation as an equation for a line  y = m x + b  where in this case  C = 5 9 ( F − 32 )  or  C = 5 9 F − 5 9 ( 32 )  You can see the slope of the graph is  5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is  5 9  of 1 degree Celsius.  C = 5 9 ( F )  C = 5 9 ( 1 ) = 5 9  Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  9 5  degrees Fahrenheit.  C = 5 9 ( F )  1 = 5 9 ( F )  ( F ) = 9 5  Since  9 5  = 1.8, statement II is true.  The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of  5 9  degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:  C = 5 9 ( F )  C = 5 9 ( 5 9 )  C = 25 81 ( which is ≠ 1 )  An increase of  5 9  degree Fahrenheit leads to an increase of  25 81 , not 1 degree, Celsius, and so Statement III is not true.  The final answer is D.

write it as a fraction

write it as a fraction

Answers

Answer:

\( \frac{11}{13} \times \frac{1}{4} \times \frac{1}{3} = \frac{11}{156} \)

So the volume of this rectangular prism is 11/156 of a cubic foot.

Does anybody know the answer to this question?

Does anybody know the answer to this question?

Answers

The values of x and y after solving the given system of equations are respectively.

According to the question,

We have the following two equations:

y = 2x+3 ....(1)

y = 4x-1 .....(2)

Now, we can put the value of y from equation 1 in equation 2:

2x+3 = 4x-1

Now, we can change sides as it will not affect the result.

4x-1 = 2x+3

Moving 2x from the right hand side to the left hand side will result in the change of sign from plus to minus:

4x-2x-1 = 3

2x-1 = 3

2x = 3+1

2x = 4

x = 4/2

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

y = 2x+3

y = 2*2+3

y = 4+3

y = 7

Hence, the value of x is 2 and the value of y is 7 after solving the equations.

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Please help me with is problem

Please help me with is problem

Answers

Answer:

Its A :)

Step-by-step explanation:

let f (n) be the function from the set of integers to the set of integers such that f (n) = n2 1. what are the domain, codomain, and range of this function

Answers

The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).

To find the domain, codomain, and range of the function f(n) = n^2 + 1:

1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.

2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.

3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).

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I need help please. Does any one know how to do this

I need help please. Does any one know how to do this

Answers

The probability that a randomly selected muffin will be a banana nut muffin is; P(banana nut muffin) = 0.5

What is the probability of selection?

From the table in the question, we are given;

Number of blackberry muffins = 10

Number of banana nut muffins = 25

Number of Chocolate chip muffins = 1

Number of blueberry muffins = 11

Number of pumpkin spice muffins = 3

Total number of muffins = 10 + 25 + 1 + 11 + 3

= 50

Probability = number of successful outcomes/Total number of outcomes

Thus;

P(banana nut muffin) = 25/50

= 0.5

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Simplify (9m^5n^-7)
________ without negative exponents
27m^6n^5

Answers

Answer:

\(9m^5n^-7\)  = \(\frac{ 9m^5}{n^ 7}\)

Step-by-step explanation:

g how many times would you expect a person selected at random to have to take the test until (s)he passes it? (if necessary, round your answer to 2 decimal places.)

Answers

The probability that a person selected at random to have the test until (s)he passes the test is, 0.03125

Given, a test occurred 5 times in a class.

we have to find that how many times a person selected at random to have the test until (s)he passes it.

the probability of getting pass in the exam be, 1/2

and similarly the probability of getting fail in the exam also be, 1/2

so, the probability that a person selected at random to have the test until (s)he passes the test is,

(1/2)^5

= 1/32

= 0.03125

Hence, the probability that a person selected at random to have the test until (s)he passes the test is, 0.03125

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Which figure best demonstrates the setup for the box method of finding the area of a triangle?.

Answers

The figure that best demonstrates the setup for the box method of finding the area of a triangle is a rectangle divided into two triangles with a diagonal line.

The box method is a visual representation that helps find the area of a triangle by dividing it into two smaller triangles that can be rearranged to form a rectangle. To set up the box method, start with a rectangle and draw a diagonal line from one corner to the opposite corner, dividing the rectangle into two triangles. The base and height of each triangle are labeled, and the total area of the rectangle is equal to the sum of the areas of the two triangles. By using this method, the area of a triangle can be easily calculated by multiplying the base and height and then dividing by two. The box method provides a visual and intuitive approach to understanding the formula for finding the area of a triangle

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alonzo, bob, and casper work bussing tables at a restaurant. alonzo has a 50% chance, bob has a 15% chance, and casper has a 35% chance of bussing tables in the middle area of the restaurant. if alonzo is bussing tables, he has a 6% chance of breaking a dish. if bob is bussing tables, he has a 2% chance of breaking a dish. finally, if casper is bussing tables, he has a 4% chance of breaking a dish. if there is a broken dish in the middle of the restaurant, what is the probability it was broken by bob?

Answers

The probability was broken by Bob is, 0.003 or 3%.

What is probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

Alonzo, Bob, and Casper are each assigned three chances to bus tables and to fix any broken dishes, respectively.

P(Alonzo bussing tables) = 50% = 0.5

P(Bob bussing tables) = 15% = 0.15

P(Casper bussing tables) = 35% = 0.35

P(Alonzo breaking a dish) = 6% = 0.06

P(Bob breaking a dish)  = 2% = 0.02

P(Casper breaking a dish)  = 4% = 0.04

As the likelihood of dish breakage does not change with the busing of the tables, this is all about independent events.

Consequently, P(A and B) = P(A) + P (B)

So, if a dish is broken, the likelihood that Bob broke it is;

P(Bob breaking dishes and busing tables) = P(Bob busing tables) x P (Bob breaking a dish)

                                                                       = 0.15 x 0.02

                                                                       = 0.003

P(Bob breaking dishes and busing tables)  = 0.003 0r 0.3%

Hence, the probability was broken by Bob is, 0.003 or 3%.

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A scientist studied bacteria.

. She placed 6 bacteria in a Petri dish

The population increases every 6 hours

Write a equation to be used to determine the number bacteria ,y, present after x days

Answers

Answer:

y=(6)x+b

Step-by-step explanation:

Help me please lol!!!!!!

Help me please lol!!!!!!

Answers

Answer:

y<4

Step-by-step explanation:

thats your answer :)

What are two congruent angle relationships that depend on parallel lines cut by a transversal

Answers

Answer:

corresponding angles, alternate exterior angles

Step-by-step explanation:

when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).

For example, corresponding angles are congruent, and alternate exterior angles are congruent.

If it takes five elves, five minutes to make five dolls, then how long will it take 100 elves to make 100 dolls?.

Answers

If it takes five elves, five minutes to make five dolls, then 5 minutes will it take 100 elves to make 100 dolls.

In the given question,

If it takes five elves, five minutes to make five dolls, then we have to find how long will it take 100 elves to make 100 dolls.

5 elves make 5 dolls = 5 minutes

1  elves make 5 dolls in = 5×5 minutes

1  elves make 5 dolls in = 25 minutes

So 1  elves make 1 dolls in = 25/5 minutes

1  elves make 5 dolls in = 5 minutes

So 1  elves make 100 dolls in = 5×100 minutes

1  elves make 5 dolls in = 500 minutes

So 100 elves make 100 dolls in = 500/100 minutes

100 elves make 100 dolls in = 5 minutes

Hence, if it takes five elves, five minutes to make five dolls, then 5 minutes will it take 100 elves to make 100 dolls.

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A recipe calls for 2 cups of flour and 3 eggs and it serves 8 people. If Mrs. Nguyen wants to make the recipe for her class of 32 students, how much flour and how many eggs should she use?

Answers

Answer:

She would need 8 cups of flour and 12 eggs.

Step-by-step explanation:

32 divided by 8 = 4 so you will then you multiplication and times everything in the recipe by 4.

a wire is cut into two pieces, one of length and the other of length . the piece of length is bent to form an equilateral triangle, and the piece of length is bent to form a regular hexagon. the triangle and the hexagon have equal area. what is ?

Answers

The value of a/b is  \(\sqrt{6}\) / 2

What is called mensuration?

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

What is mensuration in real life?

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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Lumps of impure copper typically contain impurities such as silver, gold, cobalt, nickel, and zinc. Cobalt, nickel, and zinc are oxidized from the copper lump and exist as ions in the electrolyte. Silver and gold are not oxidized and form part of an insoluble sludge at the base of the cell. Why is it essential that silver and gold are not present as cations in the electrolyte?

Answers

The reason it is essential that silver and gold are not present as cations in the electrolyte is because they do not readily undergo oxidation. In the process of electrolysis, the impure copper lump is used as the anode, which is the positive electrode.

As electricity is passed through the electrolyte, copper ions from the lump are oxidized and dissolved into the electrolyte solution. This allows for the purification of the copper. However, if silver and gold were present as cations in the electrolyte, they would also undergo oxidation and dissolve into the solution.

This would result in the loss of these valuable metals and reduce the purity of the copper. To prevent this from happening, silver and gold are intentionally not oxidized in the electrolyte. Instead, they form an insoluble sludge at the base of the cell. This sludge can be easily separated from the purified copper, allowing for the recovery of these precious metals.

In summary, it is essential that silver and gold are not present as cations in the electrolyte because their oxidation would lead to their loss and a decrease in the purity of the copper. By forming an insoluble sludge, silver and gold can be separated from the purified copper and recovered.

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Simplify the polynomial.
3 – 2x + 4 – x5 + 2x

Simplify the polynomial.3 2x + 4 x5 + 2x

Answers

if u will have more questions like that ,use photo math app helps a lot
The middle box is the answer

There are two major candidates in an election. Candidate A and
Candidate B. In a random sample of voters 29/50 voted for
Candidate A and 1/20 voted for someone other than the two major
party candidates.
What fraction voted for Candidate B?

Answers

Answer: If 29/50 voted for Candidate A and 1/20 voted for someone other than the two major party candidates, then the remaining fraction of voters who voted for Candidate B can be found by subtracting the sum of these two fractions from 1 (since the total fraction of voters must be 1):

1 - 29/50 - 1/20 = 40/100 - 29/50 = 20/100 = 1/5

Therefore, 1/5 of the voters in the random sample voted for Candidate B.

Step-by-step explanation:

Find the solution of each equation using the given replacement set please help ASAP

Find the solution of each equation using the given replacement set please help ASAP

Answers

Answer:

Sorry I don't know this answer

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It takes energy to get an object moving, and energy is released when an object slows down. Wind is an example of motion energy. A dramatic example of motion is a car crash, when the car comes to a total stop and releases all its motion energy at once in an uncontrolled instant. "AND" Electrical energy is delivered by tiny charged particles called electrons, typically moving through a wire. Lightning is an example of electrical energy in nature, so powerful that it is not confined to a wire. " starting from methyl acetoacetate and any other necessary reagents, complete the most efficient threestep synthesis of the ketone, 3benzyl5methylhexan2one, by dragging the appropriate compound(s) into the boxes. only one set of reagents will fit into each box, and all compounds will not be used Think-Pair-Share: Do you notice any trends in what powers belong to the president and which do not? Does it seem to be randomly decided? when carrying costs are stated as a percentage of unit price, the minimum points on the total cost curves: Please tell me what you think about my story and any feedback on it!!!We Didnt Know Until it Was Too Late!That night everything changed. It was the morning of October 30, 1995 in the small town of Falls Haven where we all grew up. Sasha, Amanda, Josh, and I decided we wanted to throw a Halloween party since tomorrow was Halloween and our parents were out of town. Before the party, we got all the supplies we needed and got the house ready.A few hours later, It was finally time for the party and every teen from the town showed up in their costumes. Sasha and Amanda wore a matching little red riding hood outfit with a pair of black flats. The two of them matching wasnt surprising to anyone because they were twins and they did everything together whether it be small or big they did it and they were the craziest, down-to-earth people I know. Now Josh on the other hand was the opposite out of all of us, he was the popular kid, captain of the football team, the perfect guy you thought you would only see on T.V. He ended up coming to the party in just his red and black football jersey. I ended up wearing my yellow and black plaid outfit from my favorite movie Clueless.~Later on that night~Hey Josh, have you seen Sasha anywhere? I havent seen her anywhere I asked Josh.No I havent, but I can help you look for her he said.So thats what we did, we looked everywhere, in the sparkly clean bathroom, in the old creaking tree house we used to go up when we were little, and every single cabinet and room in the house. It wasnt until we went to the backyard we found her and what we saw will haunt us forever. What we saw was Sasha's body lying face down in the pool. Josh and I pulled her out of the pool and tried to get her conscious but everything we did nothing worked and so I checked her pulse and it was silent.I think shes dead, what are we going to do? I said frantically.We need to call the police and tell them, he said.No,no,no, no we cant tell the police, if my mom were to find out I was having a party then I would be dead. I said to him.Are you seriously only worried about your mom when our friend is literally dead he said.Of course not, but we cant tell the police because we will all be arrested if they were to show up since we were illegally drinking and smoking. We need to get rid of her body I said to him.But where? He asked.I think I know a place. I said to him.So we put Sashas body in a bag and poured bleach, baking soda, and detergent in as well so that it wouldnt smell and then we went into the car and drove one and a half hour away to an old abandoned cabin in the woods and buried her body under the house.We cant tell anyone what happened tonight or where we hid the body understand I told himOkay, but what if someone asks anything about her? He asks.Then you tell them that we couldnt find her that night at the party and thought she just left and we tried to call her but she didnt answer. I said to him.It's been months since Sashas death and everyone has slowly started to forget about it.Amanda hasnt been the same since her sister died and everytime I talk to her I just want to tell her the truth of what happened but I know it would just make things worse. I would ask her if she was okay and everytime her response was yeah Im fine and I know deep down that she isnt. As time went on, everyone forgot about what happened to Sasha and everything went back to normal. Two years later, Amanda ended up moving to California and becoming a doctor. She even ended up having two twin daughters with her husband Jack. As for Josh and I, We ended up getting married and having 4 children. Josh now works as a football coach at the local high school near our house and I work for the FBI. Even though sometimes I stress and worry about what if they end up finding the body, I just try to focus on now with my family and work and if they do find her body later on then I will deal with it then.Even though that night changed everything for us, I dont think I would have wanted it any other way because it gave me the life that I have today.The End. The present shown below is a cube. Find the surface area of the present. \text{ cm}^2 cm 2 ANSWER THIS QUESTION (25 x 65 )+ (45 - 32 ) = ? The physical parts of the computer are known as?SoftwareO ProcessingHardwareO Input The market consensus is that Analog Electronic Corporation has an ROE of 9% and a beta of 1.70. It plans to maintain indefinitely its traditional plowback ratio of 2/3. This year's earnings were $3.6 per share. The annual dividend was just paid. The consensus estimate of the coming year's market return is 15%, and T-bills currently offer a 5% return.Required:a. Find the price at which Analog stock should sell.b. Calculate the P/E ratio. c. Calculate the present value of growth opportunities.d. Suppose your research convinces you Analog will announce momentarily that it will immediately reduce its plowback ratio to 1/3. Find the intrinsic value of the stock. Irene makes 4 cups of pancake batter. She splits the batter into 2 bowls.She mixes blueberries into 2 cups of batter and walnuts into the rest of the batter. Find the verbs At the moment he was lying right there on the carpet, and no one who knew about his condition wouldve seriously demanded that he let the manager in. But the manager must have suspected something, because he made a leap down over a few stairs and disappeared, still shouting, Huh!