You are offered a 6-week summer job and are asked to select one of the following salary options. Option 1 $15,000 for the first day with a $10,000 raise each day for the remaining 29 days (that is, $25,000 for day 2, $35,000 for day 3, and so on) Option 2 1¢ for the first day with the pay doubled each day (that is, 2¢ for day 2, 4¢ for day 3, and so on) Which option would you choose? Which option pays better?

Answers

Answer 1

Option 2 pays better than Option 1. Although Option 1 has a higher starting salary, the salary increase is not enough to catch up with the exponential growth of Option 2.

To compare the salary options, let's calculate each option's total earnings and determine which pays better.

Option 1: $15,000 for the first day with a $10,000 raise each day for the remaining 29 days.

To calculate the total earnings for Option 1, we can use the arithmetic progression formula: Sn = (n/2) * (2a + (n-1)d), where Sn is the sum of the first n terms, a is the first term, and d is a common difference.

a = $15,000 (the first term)

n = 30 (total number of days)

d = $10,000 (the common difference)

Total earnings for Option 1:

Sn = (30/2) * (2 * $15,000 + (30-1) * $10,000)

  = 15 * ($30,000 + 29 * $10,000)

  = 15 * ($30,000 + $290,000)

  = 15 * $320,000

  = $4,800,000

Option 2: 1¢ for the first day with the pay doubled each day.

To calculate the total earnings for Option 2, we can use the geometric progression formula: Sn = a * (1 - rⁿ) / (1 - r), where Sn is the sum of the first n terms, a is the first term, and r is the common ratio.

a = 1¢ = $0.01 (the first term)

n = 30 (total number of days)

r = 2 (the common ratio)

Total earnings for Option 2:

Sn = $0.01 * (1 - 2³⁰) / (1 - 2)

= 10,737,418.23

Comparing the total earnings:

Option 1: $4,800,000

Option 2: 10,737,418.23

Therefore, Option 2 pays better than Option 1. Although Option 1 has a higher starting salary, the salary increase is not enough to catch up with the exponential growth of Option 2.

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Related Questions

Aristófanes, autor de comedias, nació en el año 386 a. C. ¿Cuántos años han pasado desde su nacimiento hasta el año 2009?

Answers

Answer:

Cantidad de años=  2395

Step-by-step explanation:

Dada la siguiente información:

Año de nacimiento= 386 antes de Cristo

Como nació antes de cristo, debemos contar la cantidad de años hasta el año 0 (nacimiento de Cristo).

Para calcular cuántos años pasaron desde su nacimiento, debemos usar la siguienre formula:

Cantidad de años= 2009 + año de nacimiento antes de Cristo

Cantidad de años= 2009 + 386

Cantidad de años=  2395

The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?

Answers

Answer:

         aₙ = -3n + 8

Step-by-step explanation:

The nth term of an arithmetic sequence:  aₙ = a₁ + d(n - 1)

{d = common difference}

a₁ = 5

a₄ = 5 + d(4 - 1)

-4 = 5 + 3d

-4 - 5 = 3d

3d = -9

 d = -3

Therefore;

                  aₙ = 5 + (-3)(n - 1)

                   aₙ = -3n + 8

Check:  a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22

The nth term of the sequence is Tn = 8 - 3n

How to determine the function of the nth term?

The given parameters are:

a = 5, first term

T4 = -4 --- the 4th term

T10 = -22 --- the 10th term

The nth term of an arithmetic sequence is:

Tn = a + (n - 1) * d

So, we  have:

T4 = a + (4 - 1) * d

Substitute known values

-4 = 5 +(4 -1) * d

This gives

-4 = 5 + 3d

Subtract 5 from both sides

3d = -9

Divide by 3

d = -3

Recall that:

Tn = a + (n - 1) * d

So, we have:

Tn = 5 + (n - 1) * -3

Expand

Tn = 5 + 3 - 3n

Solve

Tn = 8 - 3n

Hence, the nth term of the sequence is Tn = 8 - 3n

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A rook is on a chess board with 8 rows and 8 columns. The rows are numbered 1, 2, . . . , 8 and the columns are lettered a, b, . . . , h. The rook begins at a1 (the square in both row 1 and column a). Every minute, the rook randomly moves to a different square either in the same row or the same column. The rook continues to move until it arrives a square in either row 8 or column h. After infinite time, what is the probability the rook ends at a8?

Answers

The probability that the rook ends at a8 after infinite time is 7/296.  

Given that the rook is on a chessboard with 8 rows and 8 columns. The rows are numbered 1, 2, ... , 8 and the columns are lettered a, b, ... , h. The rook begins at a1 (the square in both row 1 and column a).

Every minute, the rook randomly moves to a different square either in the same row or the same column. The rook continues to move until it arrives a square in either row 8 or column h. We have to find the probability that the rook ends at a8.

We can see that there are 14 such squares from a1 to a8 that lie in either the 8th row or the h column. Let's assume that the rook is at a square that is neither in the 8th row nor the h column.

Then the rook has 14 squares to move to in the 8th row or the h column out of the remaining 14 + 62 - 2 = 74 squares on the board.

Therefore, the probability that the rook will move to either row 8 or column h is 14/74 = 7/37.

So, if the rook moves to a square in row 8 or column h, the probability that it ends at a8 is 1/8.

So, the probability that the rook ends at a8 is (7/37) × (1/8) = 7/296.

Thus, the probability that the rook ends at a8 after infinite time is 7/296.  

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Find the measure of angle FED and DEN. Thx!!!! :)

Find the measure of angle FED and DEN. Thx!!!! :)

Answers

Answer:

m<FED=60, m<DEN=120

Step-by-step explanation:

m<FED=60

This is because <GEN and <FED are vertical angles.

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.

m<DEN=120

This is because <DEN and <GEN are supplementary.

Supplementary angles add up to 180 degrees.

We know this because a straight line is always 180 degrees.

So:

m<DEN+m<GEN=180

m<DEN+60=180

m<DEN=120

Will make brainliest!

Please explain what I did wrong , and please give me the correct answer thank you :)

Will make brainliest! Please explain what I did wrong , and please give me the correct answer thank you

Answers

You forgot to put a negative sign in front of 12 so the answer would be y=-12x+72

Write a simplified explession for the perimeter of the triangle.

Write a simplified explession for the perimeter of the triangle.

Answers

PERIMETER OF A TRIANGLE IS GIVEN BY S+S+S

\(p =( 1.5x - 3) + (1.5x - 3) + (0.75x - 1) \\ = 1.5x + 1.5x + 0.75x - 3 - 3 - 1 \\ p= 3.75x - 7\)

ABOVE IS THE SIMPLIFIED PERIMETER OF THE TRIANGLE.

I have to do everything before tm help omg

I have to do everything before tm help omg

Answers

just divide 1372.75 by 47.5 which is 28.9

The sum of the two numbers is 49 and the difference is 11. What are the numbers?

Answers

Answer:

30,19

Step-by-step explanation:

let the numbers be x and y,x>y

x+y=49

x-y=11

add

2x=60

x=60/2=30

30+y=49

y=49-30=19

Answer:

x = first number = 30 and y = second number = 19

Step-by-step explanation:

let the first number be x and second number be y.

According to the given information

The sum of the two numbers is 49

Here, we get the equation.

x + y = 49

Now, Similarly second given information

the difference is 11.

Here, we get the equation.

x - y = 11

Now,

Step 1:

Name the equations

x + y = 49 ...(1)

x - y = 11 ...(2)

Step 2:

Now,

From equation (1) we get,

x = 49 - y

Substitute the value of x = 49 - y in equation (2) we get,

x - y = 11

i.e.,

49 - y - y = 11

49 - 2y = 11

-2y + 49 = 11

2y - 49 = - 11

2y = 49 - 11

2y = 38

y = 38/2

y = 19

Step 3:

Now,

Put the value of y = 19 in equation (1), we get.

x + y = 49

i.e.,

x + 19 = 49

x = 49 - 19

x = 30

Thus, The value of x = first number = 30 and y = second number = 19

VERIFICATION:

30 + 19 = 49

30 - 19 = 11

There are 48 people in gym class. What fraction represents the number of people running?

5/8 of the people were in spin class.

1/3 of the people were lifting weights

The remaining people were running

A. 1/8

B. 1/24

C. 1/12

D. 23/24

Answers

Answer:B

Step-by-step explanation:

5/8 of 48 is 30.

1/3 of 48 is 16.

So 30 people are spinning and 16 are lifting weights.

48-30-16=2

There are two people left out of 48.

2/48 reduces to 1/24.

A vehicle purchased for $ 29800depreciates at a constant rate of 9% per year. Determine the approximate value of the vehicle 15 years after purchase.

Answers

Answer:

The value of the vehicle would be $7,242

Step-by-step explanation:

Given,

The original value of the vehicle, P = $29,800,

Rate of depreciation, r = 9% = 0.09

Time, t = 15 years,

Thus, the value of the car after 15 years,

\(A=P(1-r)^t\)

\(=29800(1-0.09)^{15}\)

\(=29800(0.91)^{15}\)

\(=7241.64363066\)

\(\thickapprox \bold{\$ 7,242}\)

2(4+2x)≥5x+5 solve inequality

Answers

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x 3

\(\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3]\)

UGH please help i just need help help

UGH please help i just need help help

Answers

The equation in slope-intercept form of the line passing through the given points is,  y = (-1/2)x + 1

A table containing values of x and y is given:

x           y

-2          2

0           1

2           0

4           -1

So the points on the line are:

(-2,2), (0,1), (2,0) and (4,-1)

The equation in slope-intercept form of a line is,

   y = mx + c,

where m is the slope of the line and c, the y-intercept of the line.

So we need to find the slope and the y-intercept of the line from the given table values.

Let (x₁, y₁) = (-2,2) and (x₂, y₂) = (0,1).

Then slope of the line, m = (y₂-y₁)/(x₂-x₁)

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

                                           = -1/2

The y-intercept of a line is the y-co-ordinate of the point which intersect the y-axis. I.e., it is the y-co-ordinate of the point at which x = 0.

From the table, when x = 0, y = 1.

Hence the y-intercept, c = 1.

So finally, the equation in slope-intercept form of the line is,

y = (-1/2)x + 1

The question is incomplete. Find the complete question below:

Find an equation in slope-intercept form of the line that passes through the given points.

x           y

-2          2

0           1

2           0

4           -1

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he figure is made up of a cylinder and two half spheres. Which expression can be used to find the volume of the sphere in this composite figure?


2 half spheres and a cylinder. All have a radius of 5 millimeters. The height of the cylinder is 10 millimeters.

V = four-thirds pi r cubed = four-thirds pi (5) cubed
V = four-thirds pi r cubed = four-thirds pi (10) cubed
V = one-third pi r squared h = one-third pi (5) squared (10)
V = one-third pi r squared h = one-third pi (10) squared (5)

Answers

The expression that can be used to find the volume of the sphere in the composite figure is: V= 4/3 π(5)³

The formula provides us with the means to determine the volume of a sphere

V = 4/3 πr³, where r is the radius of the sphere.

In this case, the radius is 5 millimeters.

So, the expression that can be used to find the volume of the sphere in the composite figure is:

V = 4/3 πr³

V= 4/3 π(5)³

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the slope of the line tangent to the graph of y=xe^x at x=ln 2 is

Answers

Answer:

2 + 2 ㏑2

Step-by-step explanation:

y = x (e^x)

to dy/dx (slope), we need to perform the product rule:

if y = f(x) g(x), where both f(x) and g(x) are functions in x, then dy/dx = f(x) g'(x) + f'(x) g(x).

let u = x (dy/dx = 1) and v = e^x ( dv/dx = e^x).

then dy/dx = u (dv/dx) + v (du/dx)

= x (e^x) + e^x. this is the slope.

at x = ㏑2:

dy/dx = ㏑2 (e^㏑2) + e^㏑2

= ㏑2 (2) + 2

= 2 + 2 ㏑2

4 = 2 (-2 - a) + a

Find A and please explain how to do it

Answers

The required value of variable "a" would be -8 which is determined by the   distributive property of multiplication,

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The equation is below which is given in the question,

4 = 2(-2 - a) + a

Apply the distributive property of multiplication,

4 = 2 × -2 - a × 2 + a

4 = - 4 - 2a + a

Rearrange the likewise terms and apply the arithmetic operation,

- 2a + a = 4 + 4

- a = 8

Multiply by the (-) sign on both sides to get the answer,

a = -8

Hence, the required value of variable "a" is -8.

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What are given?Php 45.50 - cot of 1 kilo of mango Php 35.00 - cot of a pineapple Php 19.50 -change Php100.00-Amount given to the fruit vendor with olution

Answers

It is right to receive a change of 19.50 if Juan gave php 100.00 to the fruit vendor

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Mango = 45.50Pineapple = 35.00Amount given = 100

Calculating how many Juan spend we have:

Total cost = mango + pineapple

Total cost = 45.50 + 35.00

Total cost = 80.5

Calculating how much Juan should receive in change:

Change = Amount given - Total cost

Change = 100 - 80.5

Change = 19.5

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Correctly written question:

Juan bought a kilo of mango at 45.50 and pineapple at 35.00 is it right to receive a change of 19.50 if he gave php 100.00 to the fruit vendor?

at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm

Answers

Answer:

18 feet

Step-by-step explanation:

60 mins an hour

5 mins + 6 inches

60/5=12

12*6 = 72

12 feet +72 inches

72 inches = 6 feet

18 feet

Can someone help me with answers 17-20 pls !
In parallelogram LMNO below, LO= 215.8 ft, LN =302.4 ft, m Find the indicated measures in problems 17-20

Can someone help me with answers 17-20 pls ! In parallelogram LMNO below, LO= 215.8 ft, LN =302.4 ft,

Answers

17. Diagonals bisect each other so LP is 1/2 of LN.

=151.2

20. C

Express 763 thousandths in
scientific notation

Answers

\(763 \times 10 {}^{3} = 7.63 \times 10 {}^{5} \)

need help i dont get it ??

need help i dont get it ??

Answers

Answer:

75

Step-by-step explanation:

In a quadrilateral, all 4 interior (inside) angles add up to 360.

Opposite angles are equal. So angle w and angle y are the same. We'll call them both w for the equation.

So 105+105+w+w= 360

210 +2w=360

2w = 150

w = 75

Another way to approach this is that angle z and angle w together = 180. So 180-105 = 75.

m+2m-6=12+2m slove for m

Answers

Answer: m = 18

Step-by-step explanation:

m + 2m - 6 = 12 + 2m

Add m and 2m (distribute)

3m - 6 = 12 + 2m

Subtract 2m from both sides

m - 6 = 12

Add 6 to both sides

m = 18

Answer: m=18

Step by step solution:

m+2m-6=12+2m

Cancel equal terms

m-6=12

Move constant to the right by adding

m=6+12

Calculate answer

m=18

The parallelogram shown below has an area of 15 units ^ 2
WHOEVER GETS IT RIGHT GETS BRAINLIEST

The parallelogram shown below has an area of 15 units ^ 2 WHOEVER GETS IT RIGHT GETS BRAINLIEST

Answers

Answer:

h=5

Step-by-step explanation:

3*h=15 so h=5

3 of the 4 points below lie in a straight line.
Which point does NOT?
O (-2,-3)
(2,1)
O(-4,-2) O (0,0)

Answers

Answer:

O(-4,-2) is the answer

Step-by-step explanation:

because it lies between a horizontal line

Suppose you are about to begin a game of Fibonacci nim. You start with 500 sticks. What is your first move? Why?

Answers

So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.

The first few numbers in the Fibonacci sequence are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. To determine the number of sticks a player can remove, they look at the previous two numbers in the sequence and add them together. For example, if the previous two numbers were 3 and 5, the player could remove 8 sticks.

To start, we need to find the largest number in the Fibonacci sequence that is less than or equal to 500. Looking at the sequence, we see that 21 is the largest number that fits this criteria. Therefore, on your first move, you can remove up to 21 sticks from the pile.

But should you remove all 21 sticks? Not necessarily. In Fibonacci nim, it is often advantageous to leave your opponent with a certain number of sticks that will force them to make a move that is disadvantageous. One such number is 4. If you can leave your opponent with 4 sticks, they will be forced to remove all 4 and you willbe left with a favorable position.

So, your first move should be to remove a number of sticks that is less than or equal to 21, but also leaves your opponent with 4 sticks or more. This will set you up for success in the game.

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could someone please help me with my math? i really need help and i am struggling

https://brainly.com/question/20134003

Answers

Answer:

yes

Step-by-step explanation:

Serena bought 4 packs of pencils and 12 notebooks
for fall semester which cost her $60.00. She then
bought 14 packs of pencils and 7 notebooks for
spring semester which cost her $70.00. How much
did each pack of pencils and each notebook cost?

Answers

Answer:

6

Step-by-step explanation:

that is what it said the correct answer was

Answer: pencil (x) = 3.00, notebook (y) = 4.00

Step-by-step explanation:

Let pencils be denoted using 'x', and notebooks 'y'.

4x+12y = 60, 14x+7y=70

Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.

7(4x+12y = 60) => 28x+84y=420

2(14x+7y=70) => 28x+14y=140

Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280

Dividing either side of the equation by 70, we get y=4.

If we substitute (plug in) y=4 for the first equation we get x=3

.Find the point P on the line y = 5x that is closest to the point (52,0). What is the least distance between P and (52,0)?
Let D be the distance between the two points. What is the objective function in terms of one number, x?

Answers

Point P on the line y = 5x that is closest to the point (52, 0) is (2, 10) and the least distance between P and (52, 0) is 50sqrt(26). Objective function in terms of one number, x is D² = 26x² - 104x + 2704.

To solve this problem, we need to minimize the distance between P and the given point.

The objective function that we are going to minimize here is the distance D between P and (52, 0).

Let P be the point (x, 5x) on the line y = 5x and D be the distance between the two points.

Using the distance formula to find D, we have

D² = (x - 52)² + (5x - 0)²

D² = x² - 104x + 2704 + 25x²

D² = 26x² - 104x + 2704

Now we need to minimize D², which is equivalent to minimizing D.

We have

D² = 26x² - 104x + 2704

Taking the derivative of D² with respect to x, we get

d(D²)/dx = 52x - 104

Setting d(D²)/dx equal to 0, we obtain

52x - 104 = 0

x = 2

Substituting x = 2 into the equation y = 5x, we get

P = (2, 10)

Therefore, the point P on the line y = 5x that is closest to the point (52, 0) is (2, 10).

The least distance between P and (52, 0) is the distance D between the two points, which is

D = √((2 - 52)² + (10 - 0)²)

D = √(2600)

D = 50√(26)

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HELP MEEEEEEE?!?!?!?!?!?!?!?!?!?!?

HELP MEEEEEEE?!?!?!?!?!?!?!?!?!?!?

Answers

Answer:

16

Step-by-step explanation:

A trapezoid with an area of 36 inches squared.

What is the area of the enlarged trapezoid?
54 in.²
81 in.²
576 in.²
864 in.²

Answers

Answer:

B. 81 in.²

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

1.5 × 1.5 = 2.25

Area of new trapezoid: 2.25 × 36 in²

Area of new trapezoid = 81 in²

The area of the enlarged trapezoid would be 81 in² or option B.

The answer is b. 81 in.²

Kaylee is 1.45 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 39.55 meters. She stands 34.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

Answer:

Step-by-step explanation:

We can use the ratios of similar triangles to solve this problem. Let's call the height of the tree "h". Then, we have two similar right triangles:

Kaylee's triangle: the height is 1.45 meters, the length of the shadow is 34.2 meters, and the angle between the height and the shadow is theta.

Tree's triangle: the height is h meters, the length of the shadow is 39.55 meters, and the angle between the height and the shadow is also theta.

Using these two triangles, we can set up the following proportion:

h / 39.55 = 1.45 / 34.2

Cross-multiplying, we get:

h * 34.2 = 39.55 * 1.45

Simplifying:

h = (39.55 * 1.45) / 34.2

h = 1.68176

So the height of the tree is approximately 1.68 meters (to the nearest hundredth of a meter).

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If you were operating a fast-food restaurant, which of the following would represent a fixed cost of production in the short run?a. the cost of paper supplies (napkins, bags, etc.)b. the cost of electricity to light the restaurantc. wages paid to workersd. an annual business license fee paid to the local government find the six trigonometiric functions of the given angle.2 pi/ 3 help me with my assignment please what is selective optimization with compensation provide three examples of this notion An investment wil pay you $27,500 in 11 years. The statedinterest rate is 12% (APR). If interest is compoundedsemi-annually, what is the present value? Which of the followings is NOT commonly used factors for debtratings?AO Measures of dividend policyBO Measures of firm sizeCO Measures of liquidityDO Measures of profitability" I have 3 slopes, I need the Y intercept and the slope please. Will give brainliest. You can label them as "picture 1" or "slope 1 = (?)" Show that the function u = x3 3xy? 5y is harmonic and determine the conjugate function. Japanese Yen interest rate is 0.5% for next year; Australian Dollar interest rate is 6.5% for next year; AUD/JPY spot rate is JPY110 = AUD1.00. One-year AUD/JPY forward rate is JPY100 = AUD1.00. Determine whether IRP holds. Is there an arbitrage opportunity here and If yes, what strategy should be use? Question 1 Dash ple, a property development and investment company is considering purchasing a dessed airfield site to develops a retail park The purchase price of the land is 2.3 million Dash would need to spend an additional million now to develop the site. The project will generate cash flows from rental income every year in perpetuity. If the local government builds a new road nearty, the yearly cash flows will be 1.1 million (probability 0.5). If the new road is not built the yearly cash flows will be 180,000 (probability 0.5). The first cash flow will occur in one year. DEGREES A ICES, THE CIAL SCIE Assume that 8% is a suitable discount rate for all cash flows. her 2022 31 Princi (a) What is the expected net present value of the project? (5 marks) Suppose that Dash can sell the developed site, if it chooses to do so, after one year for 10 million. (b) What is the expected value now of this abandonment option? Is the project worthwhile? (5 marks) Assume now that, if the site is not sold, Dash can instead choose to invest 3 million in one year to expand its retail space. The expansion will result in additional rental cash flows of either 168,000 every year (probability 0.25) or 354.000 every year (probability 0.75) in perpetuity, depending on whether a large department store chooses to occupy the new space after it is built. The first cash flow from the expansion will occur in two years. (c) What is the expected value now of the expansion option? (5 marks) 11 F (b) What is the expected value now of this abandonment option? Is the project worthwhile? (5 marks) Assume now that, if the site is not sold, Dash can instead choose to invest 3 million in one year to expand its retail space. The expansion will result in additional rental cash flows of either 168,000 every year (probability 0.25) or 354.000 every year (probability 0.75) in perpetuity, depending on whether a large department store chooses to occupy the new space after it is built. The first cash flow from the expansion will occur in two years. (c) What is the expected value now of the expansion option? (5 marks) (d) Suppose that the project cannot be delayed, but Dash can purchase the land now and own it without further investment for up to one year, by paying a fee to the local government. If Dash believes that the land could be sold for 4.5 million in one year, what is the maximum fee the fim would pay now? (5 marks) (e) Explain how a real option to abandon a project could be analogous to an American put option, identifying the specific components of the option (max of 120 words) O Tyne here to search O IT T What would happen if a student added 5% aqueous NaHCO_3 instead of 6 M HCI in the hydrolysis step? What, if anything, could be done to correct this error? Could the product still be isolated? Explain your answer. of the following, which is not a result of increasing the temperature of a system that includes an endothermic reaction in the forward direction? select the correct answer below: a.the equilibrium constant increases. b.the concentrations of the reactants increase. c.the reaction shifts toward the products. d.the concentrations of the reactants decrease. In San Antonio, the temperature went down 10 degrees in 4 hours. This reflects a slope of ___ per ___ hour(s). Give your answer using the lowest possible integers. The James Co. plans on saving money to buy some new equipment. The company is opening an account today with a deposit of $15,000. After 3 years, the firm wants to add an additional $50,000 to the account. How much money will the James Co. have in their account five years from now? Assume the James Co. can earn an interest of 4% compounded annually in the first 3 years and an interest of 5% compounded annually in the last 2 years. find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. text({) 1/4, 2/9, 3/16, 4/25, ...text(}) Need this asap Please Which of the following are withheld from an employee's salary? 1. FICA taxes. II. Federal and state unemployment taxes. III. Federal and state income taxes. IV. Employee portion of health insurance. Multiple Choice a. I, II, and IV b. I, III, and IV c. I and IVd. II and III Find the coefficient of x in the expansion of (x-2/x) What is the measure of angle ABC? the two sources for debt financing are angel investors and venture capitalists.T/F