3. Carlos Quintero, Treasurer of X Corp is analyzing an investment on two projects, C and D. The data to
consider are shown below
Initial Investment
Annual Rate of
Return
Pessimistic
Most Likely
Optimistic
Amount
$135,000
39%
27%
25%
Project C
Probability
.30
.45
.25
Amount
$145,000
25%
15%
30%
Project D
Probability
.35
.40
.25
A. Determine the rates of return for each of the two projects. (6 points)

Answers

Answer 1

The rates of return for each of the two projects for X Corp are as follows:

Project C = 30.1%Project D = 19.75%.

What is the rate of return?

The rate of return refers to the percentage gain or loss over the initial cost of the investment.

For this purpose, the rate of return is expressed as the percentage of the expected returns (which is a product based on the probability of different scenarios) over the initial investment cost.

                                                        Project C                     Project D

                                        Amount         Probability     Amount      Probability  

Initial Investment          $135,000                               $145,000    

Annual Rate of Return

Pessimistic   39%                                     .30      25%                        .35

Most Likely   27%                                     .45      15%                         .40

Optimistic    25%                                     .25      30%                         .25

Returns from Project C:

Pessimistic $15,795 ($135,000 x 39% x 30%)

Most likely $16,402.50 ($135,000 x 27% x 45%)

Optimistic    $8,437.50 ($135,000 x 25% x 25%)

Total expected returns = $40,635

Rate of return = 30.1% ($40,635/$135,000 x 100)

Returns from Project D:

Pessimistic   $9,062.50 ($145,000 x 25% x 35%)

Most Likely  $8,700 ($145,000 x 15% x 40%)

Optimistic    $10,875 ($145,000 x 30% x 25%)

Total expected returns = $28,637.50

Rate of return = 19.75% ($28,637.50/$145,000 x 100)

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Related Questions

Find a.Round to the nearest tenth:a10 cm150°12°с=a = [ ? ]cmLaw of Sines: sin A=sin Bbasin cСEnter

Answers

Answer:

24.0 cm

Explanation:

To find the value of a, we will use the Law of sines, so

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}[/tex]

So, replacing A = 150°, B = 12°, and b = 10 cm, we get:

[tex]\frac{\sin150}{a}=\frac{\sin 12}{10}[/tex]

Now, we need to solve for a. First, cross multiply

[tex]10\cdot\sin 150=a\cdot\sin 12[/tex]

Then, divide by sin12

[tex]\begin{gathered} \frac{10\cdot\sin150}{\sin12}=\frac{a\cdot\sin 12}{\sin 12} \\ \frac{10\cdot(0.5)}{0.208}=a \\ 24.0=a \end{gathered}[/tex]

Therefore, a = 24.0 cm

A rectangular room is 1.8 times as long as it is wide, and its perimeter is 29 meters. Find the dimension of the room. The length is : meters and the width is meters.

Answers

Dimensions of a roomStep 1: finding an expression for each side of the rectagle

Let's say x is going to be the number meters of the width of the room:

x: width

Since its lenght is 1.8 as it is width, then it will be 1.8 · x long:

1.8x: lenght

Step 2: relating the expressions for each side to its perimeter

We know that the perimeter of a rectangle is given by

Perimeter = 2· (width + lenght)

We know that the perimeter is 29 meters, then

Perimeter = 29

29 = 2· (width + lenght)

We do know an expression for its width and lenght, we replace them:

29 = 2· (width + lenght)

29 = 2· (x + 1.8x)

Step 3: finding x

Since x + 1.8x = 2.8x:

29 = 2· (x + 1.8x)

29 = 2· (2.8x)

↓ 2· 2.8 = 5.6

29 = 5.6x

↓ dividing both sides by 5.6

29/5.6 = 5.6x/5.6

5.2 = x

Final step: finding its dimensions

Since

x: width

then

Width = 5.2 meters

Since

1.8x: lenght

then

Lenght = 1.8 · 5.2 meters = 9.36 meters

Answer: the dimensions of the room are Width = 5.2 meters and Lenght = 9.36 meters

students at a local school were asked about how many hours do you spend on homework each week? the table shows the results of the survey classify the statement below as a true or false more students study for 3 to 4 hours than for 5 to 6 hours the statement is (true or false) because.... students study for 3 to 4 hours and..... students study for 5 to 6 hours.

Answers

The total of students that study for 3 to 4 h is 147

The total of students that study for 5 to 6 h is 107

Then, the statement: "more students study for 3 to 4 hours than for 5 to 6 hours" is true because 147 students study for 3 to 4 hours and 107 students study for 5 to 6 hours.

The area of a rectangular garden is 1,432 meters. If the length of the garden is 40 meters,
what is the width of the garden?

Answers

Answer: 35.8

Step-by-step explanation: 40x?=1432

40x35.8=1432

Given that angle A lies in Quadrant IV and cos(A)= 7/10, evaluate sin(A).

Answers

The value of the trigonometric function is;  sin(A) =√51/10.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We have been given that  angle A lies in Quadrant IV and cos(A)= 7/10 then;

cos(A)= 7/10

Hence, base = 7

hypotenuse = 10

Therefore, perpendicular

h² = b² + p²

10² = 7² + p²

100 = 49 + p²

p = √51

Then  sin(A = perpedicular/ hypotenuse

sin(A) = √51/10

Hence, the value of the trigonometric function is;  sin(A) =√51/10.

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740In the table on the right there are grades that were earned by students on a midtermbusiness math exam What percent of the students earned a grade below 80?83977084986685687783958879648890859396The percent of students with grade below 80 is(Round to the nearest whole number as needed)

Answers

Notice that the number of students that got a grade below 80 is:

[tex]7,[/tex]

and the total number of students is:

[tex]20.[/tex]

Therefore, we have to determine what percentage 7 represents from 20. To determine the percentage that x represents from y, we can use the following expression:

[tex]\frac{x}{y}*100.[/tex]

Finally, we get that 7 represents the

[tex]\frac{7}{20}*100=35\%,[/tex]

of 20.

Answer:

[tex]35\%.[/tex]

james harmon pays 850.80 per year for his life insurance. if he where to the premiums quarterly, the payments would would be 221.21 what percentage more is mr hamrmon paying for the year using yhe quarterly rate

Answers

Percent is given by the expression:

[tex]\begin{gathered} \text{Total}\cdot\frac{\text{percent}}{100}=\text{Equivalent number to the percent} \\ 850.8\cdot\frac{x}{100}=221.21 \\ x=\frac{221.21\cdot100}{850.8} \\ x=26\text{ percent} \end{gathered}[/tex]

So, he is paying 74% more using the quarterly rate

what number is divisible by 5 ? 86,764,670,or27

Answers

The number divisible by 5 is 670.

Numbers divisible by 5 have their last digits as 0 or 5

Answer : 670

Glven: 3x - 2 = 2(x + 1)Prove: x=4REASONSTATEMENT1. 3x - 2 = 2(x + 1)30.2. 3x - 2 = 2x + 231.3. X-2= 232.4. x= 433.Word Bank:A. Distributive PropE. Transitive PropC. Substituion PropD. Subtraction PropB. GivenF. Addition Prop

Answers

you have the following equation:

3x - 2 = 2(x+1)

You have to specify the property used in each step to get the solution of the previous equation. You obtain the following:

1. 3x - 2 = 2(x + 1) given

2. 3x - 2 = 2x + 2 distribution prop

3. 3x - 2x - 2 = 2x - 2x + 2 subtraction 2x both sides - subtraction prop

x - 2 = 2

4. x - 2 + 2 = 2 + 2 summation 2 both sides - addition prop

x = 4

Find an equation for the line that passes through the points (-2,-6) and (6,-4).

Answers

Answer:

[tex](y+6)=\frac{2}{8} (x+2)[/tex]

Step-by-step explanation:

First, find the slope

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

-4+6=2

6+2=8

m=2/8

With the slop, you have everything you need to stick one of your points in point-slope form.  I chose (-2,-6)

[tex](y-y1)=m(x-x1)\\(y+6)=\frac{2}{8} (x+2)[/tex]

Really, that's all you need as it is not an equation of a line.  Not the most useful form, but works as an answer.

Evaluate.C15 3 It says I need to evaluate 15^C 3

Answers

Explanation

We are required to determine the value of the following:

[tex]_{15}C_3[/tex]

This is achieved thus:

We know that the combination formula is given as:

Therefore, we have:

[tex]\begin{gathered} _{15}C_3=\frac{15!}{3!(15-3)!} \\ _{15}C_3=\frac{15!}{3!12!} \\ _{15}C_3=\frac{15\cdot14\cdot13\cdot12!}{3!12!} \\ _{15}C_3=\frac{15\cdot14\cdot13}{3!}=\frac{15\cdot14\cdot13}{3\cdot2\cdot1} \\ _{15}C_3=5\cdot7\cdot13 \\ _{15}C_3=455 \end{gathered}[/tex]

Hence, the answer is:

[tex]455[/tex]

Write each of the following products (the result to a multiplication problem) using exponents to express the results in a simpler form.(3a)(5a) __________(5p)(2p) ___________(3 inches)(5 inches)___________(5 feet)(2 feet)_________

Answers

Let's do the mutiplications:

(3a)(5a) = 15a²

(5p)(2p) = 10p²

(3 inches)(5 inches) = 15 inches²

(5 feet)(2 feet) = 10 feet²mutiplic

Perform the indicated operation by removing the parentheses and combining like terms.(5x + 3) + (x2 – 8x + 4)

Answers

Answer:[tex]x^2-3x+7[/tex]

Explanations:

Given the sum of the functions expressed as:

[tex]\mleft(5x+3\mright)+x^2-8x+4[/tex]

Collecting the like terms:

[tex]x^2+5x-8x+3+4[/tex]

Group the terms based on their degrees

[tex]x^2+(5x-8x)+(3+4)[/tex]

Simplify the result to determine the final answer:

[tex]\begin{gathered} x^2+(5x-8x)+(3+4) \\ x^2+(-3x)+7 \\ x^2-3x+7 \end{gathered}[/tex]

Hence the required sum of the functions is x^2 - 3x + 7

. Identify the difference. -2-(-6)

Answers

In this case,

This difference is made this way:

-2 - (-6) =

-2 +6 = 4

So there we have this identity. The minus before the parentheses turns the minus into plus sign.

The recursive rule for a sequence and one of the specific terms is given. Find the position of the giving term. f(1)= 8 1/2; f(n)= f(n-1) - 1/2; 5 1/2

Answers

f(7) gives 5 1/2.

the position is the 7th term

Explanation:

f(1)= 8 1/2

f(n)= f(n-1) - 1/2

we are looking for the function that gives 5 1/2

We have been given f(1), this means n = 1

f(1) = f(1-1) - 1/2

8 1/2 = f(0) - 1/2

f(0) = 8 1/2 + 1/2

f(0) = 8 + 1 = 9

when n = 2

f(2) = f(2-1) - 1/2

f(2) = f(1) - 1/2

f(2) = 8 1/2 - 1/2

f(2) = 8

when n = 3

f(3) = f(3-1) - 1/2

f(3) = f(2) - 1/2

f(3) = 8 - 1/2

f(3) = 7 1/2

when x = 4

f(4) = f(4-1) - 1/2

f(4) = f(3) - 1/2

f(4) = 7 1/2 - 1/2

f(4) = 7

when n = 5

f(5) = f(5-1) - 1/2

f(5) = f(4) - 1/2

f(5) = 7 - 1/2

f(5) = 6 1/2

f(6) = f(6-1) - 1/2

f(6) = f(5) - 1/2

f(6) = 6 1/2 - 1/2 = 6

when n = 7

f(7) = f(7-1) - 1/2

f(7) = f(6) - 1/2

f(7) = 6 -1/2 = 5 1/2

f(7) gives 5 1/2.

Hence, the position is the 7th term

Hello! I need some help with this homework question, please? The question is posted in the image below. Q17

Answers

The function being one-to-one implies that every value of x, has one one vaue of y, and every value of y, has one value of x.

The inverse uses the output(y value) as an input(x value) and spits it out to get the original x value inputted into f.

Using the given point ( 2, -5 ), it implies of f(2) = -5. Since the function is one-to-one, this implies that:

[tex]f^{-1}(-5)=2[/tex][tex]\text{Thus, the point on the graph of f}^{-1}\text{ is }(-5,2\text{ )}[/tex]

Hence, the correct option is option B

Select the correct answer.Using long division, what is the quotient of 3r4 + 2023 + 1422 + 17= + 30 and I + 67

Answers

EXPLANATION

we are asked to use the long division method to solve the division

[tex]\frac{3x^4+20x^3+14x^2+17x+30}{x+6}[/tex]

We will have

Use long division or a calculator to write 4/99 as a decimal. Then tell whether the decimal is terminating or repeating

Answers

0.0404

Repeating decimal (periodic)

1) Let's proceed with the long division of 4 by 99:

1.1) Since 4 is way smaller than 99 let's add one zero to the dividend and another for the quotient followed by a dot.

But 40 is still lesser than 99, so let's add another zero after the dot to make it 400. Now we can divide 400 by 99

1.2) Again to proceed with that division we'll need to write a zero at that 4 and another one in the quotient.

As and we can see already this a repeating decimal or periodic. This division will yield 0.0404040404.....

2) Hence, the answer is 0.0404

what is the solution to the system 3x-y+5=02x+3y-4=0A. X= -1, Y= -2B. X= -1, Y= 2C. X= 2, Y= -1D. X= 2, Y= 1

Answers

To find the solution to the system of equation

we will use the elimination method

3x - y = - 5 ----------------------------(1)

2x + 3y = 4 -------------------------------(2)

We will eliminate y and solve for x

multiply equation (1) through by 3

9x - 3y = - 15 ------------------------------------(3)

add equation (2) and equation (3)

11x = -11

divide both-side of the equation by 11

x = -1

substitute x = -1 in equation (1) and solve for y

3x - y = - 5

3(-1) - y = -5

-3 - y = -5

add 3 to both-side of the equation

- y = -5 +3

-y = -2

multiply through byb -1

y = 2

Hence, the correct option is B

do an addition in binary (inverse code) on following numbers:

00011101
+ 111111101

please, help asap thank u​

Answers

The first complement of the binary addition is 00011111.


What is a binary addition?

The binary addition operation works similarly to the base 10 decimal system, except that it is a base 2 system. The binary system consists of only two digits, 1 and 0.

Given that, the addition of the given number

  00011101 + 11111101

In the binary addition,

0+1 = 1

1+0 = 1

1+1 = 0

00011101 + 11111101 = 11100000

Then inverse code means first complement of the answer.

In the first complement, 0 is the inverse of 1 and 1 is inverse of 0.

11100000 = 00011111

Hence, The first complement of the binary addition is 00011111.


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A firm incurs $70,000 in interest expenses each year. If the tax rate of the firm is 30%, what is the effective after-tax interest rate expense for the firm?

Answers

Answer:

After tax interest expenses = Interest expenses x (100 - Tax Rate) 

= 70000 x (100 - 30)% 

= 70000 x 70% 

= $49,000.00

Step-by-step explanation:

By using the substitution u = 4 + 3x^2, or otherwise, find

Answers

Solution

We have the following integral:

[tex]\int \frac{2x}{(4+3x^{2})^{2}}dx[/tex]

We can use the substitution u= 4 +3x² and we have du= 6x dx, then we have this:

[tex]\int \frac{2x}{(u^{})^2}\cdot\frac{du}{6x}=\frac{1}{3}\int u^{-2}du=\frac{1}{3}\cdot\frac{u^{-1}}{-1}+C=-\frac{1}{3u}+C=-\frac{1}{3(4+3x^{2})}+C[/tex]

Solve this system of linear equations. Separatethe x- and y-values with a comma.18x - 10y = 749x - 9y = 45

Answers

Given,

[tex]\begin{gathered} \text{The system of pair of linear equation is,} \\ 18x-10y=74\ldots\ldots\ldots\ldots\ldots.\ldots.(i) \\ 9x-9y=45\ldots\ldots\ldots..\ldots\ldots\ldots.(ii) \end{gathered}[/tex]

Multiplying equation (ii) by 2 as it make the coefficent of x in both equation equal.

[tex]\begin{gathered} 18x-10y=74\ldots\ldots\ldots\ldots\ldots.\ldots.(i) \\ 18x-18y=90\ldots\ldots\ldots..\ldots\ldots\ldots.(iii) \\ \end{gathered}[/tex]

Substracting equation (i) from equation (iii) then we get,

[tex]\begin{gathered} 18x-18y-(18x-10y)=90-74 \\ 18x-18y-18x+10y=16 \\ -8y=16 \\ y=-2 \end{gathered}[/tex]

The value of y is -2.

Substituting the value of y in equation (i) then,

[tex]\begin{gathered} 18x-10y=74 \\ 18x+20=74 \\ 18x=54 \\ x=3 \end{gathered}[/tex]

Hence, the solution of the linear pair (x, y) is (3, -2).

Hooke's Law says that the force exerted by the spring in a spring scale varies directly with the distance that the spring is stretched. If a 20 pound mass suspended on a spring scale stretches the spring 20 inches, how far will a 29 pound mass stretch the spring? Round your answer to one decimal place if necessary.

Answers

The Hooke's law is given by:

F = k*x

Where:

F = force

k = constant factor

x = distance

If F = 20 and x = 20

20 = k*20

Solving for k:

20/20 = k

k = 1

So: how far will a 29 pound mass stretch the spring?

29 = 1* x

Solving for x:

29/1 = x

x = 29 in

Rectangle ABCD has vertex coordinates
A(1, -2), B(4, -2), C(4, -4), and D(1,
-4). It is translated 1 unit to the left and 1 3 units up. What are the coordinates
of B?

Answers

         A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.

Response: C

What is a graph's vertex?

        A node of a graph, or one of the points on which the graph is defined and which may be connected by graph edges, is referred to as a "vertex" in computing.

For instance, a rectangle's four sides result in its four vertices.

   Response:  C . The coordinates are obtained by first subtracting 1 from 4 to obtain 3 and then adding 3 to -2 to obtain 1. (3, 1)

       The vertex is the collective endpoint. Vertex, on the other hand, refers to the common terminal point where two rays converge to make an angle. In a similar manner, we must understand an angle's arm. The term "arm of an angle" refers to the two rays that unite to make an angle.

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Sonia opened a savings account and then added the same amount to the savings account every week. After 5 weeks, her savings account had a total of $45. After 10 weeks, her savings account had a total of $70. Which equation represents the amount of money (y), in dollars, in Sonia's savings account after x weeks?

Answers

First let's find the amount Sonia puts in her account each week.

To do so, let's find the amount increased between weeks 5 and 10:

[tex]70-45=25[/tex]

The account increased $25 in 5 weeks, so for each week, we have:

[tex]\frac{25}{5}=5[/tex]

So Sonia puts $5 in her account each week. Now, we need to find the initial value in the account. If after 5 weeks the account has $45, we can subtract $45 by 5 times the amount per week:

[tex]45-5\cdot5=45-25=20[/tex]

So the initial amount is $20.

Now that we have the initial amount and the amount she puts per week, we have the following equation for the amount of money y after x weeks:

[tex]y=5x+20_{}[/tex]

So the correct option is the third one.

Two cars are driving on the same road, in the same
direction. They start driving from the same place and are
traveling at a constant speed. The second car started
driving 1.5 hours after the first car started driving. If the
second car drives 60 miles per hour and the first drives 40
miles per hour, how many miles will each car have
traveled when the second car catches up to the first?

Answers

Answer:

180 miles

Step-by-step explanation:

distance = rate x time

t = time

1st car:

distance = 40t

2nd car:

distance = 60(t - 1,5)

When the car catch up to each other the distances will be the same, so set the equation equal to each other.  Calculate the time and then put the time back into either equation and solve for the distance.

40t = 60(t-1.5)  Distribute the 60

40t = 60t -(60)1.5

40t = 60t - 90  Subtract 60t from both sides of the equation

-20t = -90  Divide both sides by -20

t = 4.5

Now that we know the time, substitue that back into either equaiton and solve for the time

distance = 40 (4.5)

180 miles

The probability that a tourist- will spot a Cheetah in Kruger National park is 0.4, the probability that he will spot a Tiger, is 0.7, and the probability that he will spot a Cheetah, or a Tiger or both is 0.5. What is the probability that the tourist will spot: (a) both animals? (b) neither of the animals? (c) Determine with appropriate reason whether the event of spotting a Cheetah and a Tiger are independent or not?

Answers

Since the probability of Cheetah is 0.4

Since the probability of Tiger is 0.7

Since the probability of Cheetah or Tiger or both is 0.5

Let us draw a figure to show this information

Then we need to find both animals (x)

Since

[tex]0.5+x=0.7+0.4-x[/tex]

Add x to both sides and subtract 0.5 from both sides

[tex]\begin{gathered} 0.5+x+x=0.7+0.4-x+x \\ 0.5+2x=1.1 \\ 0.5-0.5+2x=1.1-0.5 \\ 2x=0.6 \end{gathered}[/tex]

Divide both sides by 2 to find x

[tex]\begin{gathered} \frac{2x}{2}=\frac{0.6}{2} \\ x=0.3 \end{gathered}[/tex]

a) The probability of both animals is 0.3

Since the total of probability is 1, then to find the neither subtract (0.4 + 0.7 - 0.3) from 1

[tex]\begin{gathered} N=1-(0.4+0.7-0.3) \\ N=1-0.8 \\ N=0.2 \end{gathered}[/tex]

b) the probability of neither is 0.2

Events A and B are independent if the equation P(A∩B) = P(A) · P(B)

Since

[tex]P(Ch\cap T)=0.3[/tex]

Since P(Ch) . P(T) = 0.4 x 0.7 = 0.28

Then

[tex]P(Ch\cap T)\ne P(Ch).P(T)[/tex]

c) The events are not independent

Alec wants to purchase a new phone that costs $219.00. His current average net pay is $212.34 each week. What percent of his weekdy net pay does Alec need to save each week, for the next seven weeks, to reach
his goal? Round to the nearest hundredth (1 point)
9.69%
14.73%
O 21.76%
31.28%

Answers

Answer:

14.73%

Step-by-step explanation:

firstly let's divide the phone price into 7 equal parts. by this equation 219.00/7=31.28

So Alec needs to save $31.28 but we want the percentage.

by equation x%*212.34=31.28

x=(31.28*100)/212.34=3128/212.34=14.73

so Alec needs to save 14.73% of 212.34 each week.

Brian is looking to add tile to one wall in his kitchen, each tile is a rectangle that measures
14 inches by 2 inches. The wall that Brian wants to tile is a rectangle that measures
44.25inches by 51 inches. How many bie's will Brian need to cover the wall?

Answers

Using the area of the rectangle we know that 80½ tiles will be needed to cover the wall.

What is a rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. It can also be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is an irregular shape with four equal sides.

So, tiles needed to cover the wall:

The formula for the area of a rectangle: l × b

Calculate the area of a tile as follows:

l × b14 × 228 in²

Now, calculate the area of the wall as follows:

l × b44.25 × 512,256.75 in²

Then, tiles needed to cover the wall:

2,256.75/2880.59

Which means: 80½

Therefore, using the area of the rectangle we know that 80½ tiles will be needed to cover the wall.

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a firm's strategic profile based on value creation and cost is called its ______. I NEED HELP ASAP. 4-5 sentences per question and a quote. rhonda thinks that the circumstances that she has been through in her life are inconsistent with her personal values. rhonda's thought process is an example of . a semiannual payment bond with a $1,000 par has a 7 percent quoted coupon rate, a 7 percent promised yield to maturity, and 10 years to maturity. what is the bond's duration? Please help and answer this question ASAP! :) For the function f(x). describe, in words, the effects of each variable alb,h,k on the graph of a*f(bx+h)+k Why do you get paid for serving on jury? the lowest monthly commission that a salesman earned was only 1/4 more than 1/3 as high as the highest commission he earned. the highest and lowest commissions when added together equal $1020. what was the lowest commission? A is in the shape of a quarter circle of radius 15 cm.B is in the shape of a circle.A15 cmThe area of A is 9 times the area of B.Work out the radius of B.B Water molecules evaporate from a lake near the equator and rise into the atmosphere, as shown in the diagram belowAs the molecules travel away from the equator, which step in the water cycle is most likely to happen next?A) The molecules freeze and eventually form ice crystals B) The molecules heat up and eventually form water vapor C) The molecules cool and eventually form clouds D) The molecules break apart and eventually form precipitation suppose there is a major technological advance in the production of a good that causes production costs, and thus prices, to fall. if demand for the product is relatively inelastic, what will happen in the market? which of the following is true about personality assessments used in organizations? personality assessments have become increasingly expensive and thus, have slightly lost favor. personality assessments have been decreasingly used in diverse organizational settings. personality assessments are used by approximately 25 percent of all large u.s. companies. personality assessments have been increasingly used in diverse organizational settings. personality assessments are used by approximately 10 percent of all large u.s. companies. 4. Find f(x) - g(x) * (3 Points)f(x) = 7x - 3x + 5x+1 and g(x) = 5x+x-x-3 Enter Result in Standa2x -5x +1002-4 + 6x +4-2x-5r-8.2-6r+14 The equation y = -16x +96x + 20 models the height, in feet, after a seconds, of a toy rocketthat is launched from a cliff that is 20 feet (ft) above the ground.Use the above information to answer the questions below. Round all answers to the tenthplace. i need help with chemistry Fill in the BlanksType your answers in all of the blanks and submit- current answer: When solid potassium chlorate is heated in the laboratory it decomposes to form potassium chloride and oxygen. Consider this reaction to answer the questions below: When properly balanced the sum of the coefficients for this reaction = - 7 -. When you decompose 71.7 grams of potassium chlorate you can form a maximum of - blank2 -grams of potassium chloride and - blank3 -grams of oxygen.When solid potassium chlorate is heated in the laboratory it decomposes to form potassium chloride and oxygen. Consider this reaction to answer the questions below:When properly balanced the sum of the coefficients for this reaction = blank1 - Word Answer7.When you decompose 71.7 grams of potassium chlorate you can form a maximum of blank2 - Word AnswerPlease type your answer to submitgrams of potassium chloride and blank3 - Word Answergrams of oxygen.There is 1 error to address before submittingUnanswered1 attempt leftSubmit wat is the mass of the car that has kinetic energy of 2400J and is moving with a speed of 20 m\s I need help finding the passing adjusted grade of 70A=10R^1/2 Under his cell phone plan, Rahul pays a flat cost of $36 per month and $4 pergigabyte. He wants to keep his bill under $95 per month. Which inequalitycan be used to determine g, the maximum number of gigabytes Rahul can usewhile staying within his budget? an article suggests that a poisson process can be used to represent the occurrence of structural loads over time. suppose the mean time between occurrences of loads is 0.4 year. (a) how many loads can be expected to occur during a 4-year period? loads (b) what is the probability that more than twelve loads occur during a 4-year period? (round your answer to three decimal places.) (c) how long must a time period be so that the probability of no loads occurring during that period is at most 0.3? (round your answer to four decimal places.) yr