Last month, Lloyd's Systems analyzed the project whose cash flows are shown below. However, before the decision to accept or reject the project, the Federal Reserve took actions that changed interest rates and therefore the firm's WACC. The Fed's action did not affect the forecasted cash flows. By how much did the change in the WACC affect the project's forecasted NPV? Note that a project's projected NPV can be negative, in which case it should be rejected.

Old WACC: 10.00% New WACC: 9.50%
Year 0 1 2 3
Cash flows -$1,000 $410 $410 $410

Answers: A.
$10.85
B.
$10.13
C.
$9.04
D.
$11.12
E.
$10.22

Answer:

ディーズナッツ

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer: 120 beads

Step-by-step explanation:

480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

(so many typos in question so I do not know the names.)

Answer: 120

Step-by-step explanation:

480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

Using the probability concept, we have that:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 35 people, out of which 17 are female and 5 are male that prefer mint chocolate chip, hence:

p = (17 + 5)/35 = 22/35 = 0.6286.

There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.

Out of the same 35 people, 11 people prefer cookie and cream and 2 people prefer vanilla, hence:

p = (11 + 2)/35 = 13/35 = 0.3714

There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.

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The Volume of the box is 3.75in³

The volume of the box is dependent on the volume of the cube in it.

To obtain the volume of a cube, we use the relation, V = s³

s = side of the cube

Volume = 0.5³ = 0.125 in³

Number of cubes in box = 30

Volume of each cube × Number of cubes

0.125 × 30 = 3.75 in³

Hence, the volume of the box is 3.75in³

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Answer:

A = 46000(1.05)3

Step-by-step explanation:

You are offered a job that pays ​$49,000 during the first​ year, with an annual increase of 7​% per year beginning in the second year. That​ is, beginning in year​ 2, your salary will be 1.07 times what it was in the previous year. What can you expect to earn in your fourth year on the​ job? Round your answer to the nearest dollar?

Hey there! :)

Answer:

The 2nd choice.

Step-by-step explanation:

Looking at the tables, we can eliminate those that do not show an increase, then a decrease in speed.

Table 1:

The speed goes from 45, 43, 41, 42, to 43. This shows a decrease, then an increase. This choice is incorrect.

Table 2:

The speed goes from 45, 47, 49, 48 to 47. This shows an increase, then a decrease. This choice is correct.

Table 3:

The speed goes from 45, 45, 45, 43, to 41. This shows a constant speed, until a final decrease. This choice is incorrect.

Table 4:

In this table, the speed goes from 45, 43, 41, 41 and ends at 41. This shows an initial decrease, then a constant speed. This is incorrect.

Therefore, only table 2 shows an increasing, then decreasing speed.

Answer:

$110.50

Explanation:

First, determine the total number of hours worked.

Add the two to find the total:

Given a wage of $13/hr, the pay will be:

The pay is $110.50.

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

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Answer:

c

Step-by-step explanation:

because if you solve the problem it is equal to c

Answer:

=−0.888168

Step-by-step explanation:

sin(5(3.1415933))

=sin((5)(31.006277))

=sin(155.031383)

=−0.888168

:)

Answer:

\(\text{Slope} \; m = \dfrac{11}{6}\)

Step-by-step explanation:

\(m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x}\)

\(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)

\(m = \dfrac{-1/4 - 5/2}{-1/2 - 1}\)

\(m = \dfrac{\dfrac{-11}{4}}{\dfrac{-3}{2}}\)

\(m = \dfrac{-11}{4} \times \dfrac{2}{-3}\)

\(m = \dfrac{-22}{-12}\)

\(m = \dfrac{11}{6}\)

Answer:

2600

Step-by-step explanation:

Answer:

2600

Step-by-step explanation:

60% of what number is 1560

Let x be the total daily calories recommended.

.6x =  1560  Divide both sides by .6

x = 2600

Answer:

a)  \(t_{0.035},11=\pm2.201\)

b)  \(t=-2.963\)

c)  \(Reject\ H_0\ when\ \alpha=0.05\)

d)   \(t<t_{\alpha/2},d_t\)

   \(-2.963<2.201\)

Step-by-step explanation:

From the question we are told that:

Sample size \(n=12\)

Mean \(\=x=42.5\)

Standard deviation \(\sigma=3.8\)

Population mean \(\mu=45.75\)

Significance \(\alpha=0.05\)

Generally the hypothesis given by

\(H_0;\mu=45.75\\H_1:\neq =45.75\)

Generally the equation for test statistics is mathematically given by

\(t=\frac{\=x-\mu}{\sigma/\sqrt{n} }\)

\(t=\frac{42.5-45.75}{3.8/\sqrt{12} }\)

\(t=-2.963\)

Generally the Critical value is mathematically given by

\(t_{\alpha/2},d_t\)

\(\alpha=0.05 \\\alpha/2=0.025\\d_t=n-1=11\)

\(t_{0.035},11\)

From table

\(t_{0.035},11=\pm2.201\)

Therefore

\(t<t_{\alpha/2},d_t\)

\(-2.963<2.201\)

\(Reject\ H_0\ when\ \alpha=0.05\)

The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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Answer:

As below

Step-by-step explanation:

the perimeter of our rectangle is 42 meters

and Length is 2 times the width. that is L= 2W

since there are 2 of the Length and Width sides..

42 = 2(L) +2(W)

42= 2(2W) + 2W

42 = 4W + 2W

42 = 6W

W = 42/6

W = 7

now that we know W plug it into our 1st equation

L = 2 (7)

L = 14

Length = 14

width = 7    

:)

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

Answer:

Start Fraction 4 over 16 End Fraction (100)

Step-by-step explanation:

Your Welcome;)

Answer:

d

Step-by-step explanation:

i did it

Answer:

c. 1500pi cubic units

Answer:

Step-by-step explanation:

Using

Point A: x= 1 and y=3

And point B: x=-2 and y=-6

use equation of slope and substitute the values

Slope= YB-YA/Xb-Xa

= -6-3/-2-1

=3

Cost of Jolly Ranchers per ounce

\(\\ \sf\longmapsto 1\div 20=0.05\$\)

Cost of Skittles per ounce

\(\\ \sf\longmapsto 1.5\div 30=0.05\$\)

Same prices

Answer:

-7, -6, -5, -4

Step-by-step explanation:

-7 + (- 6) = -13

-5 + (- 4) = -9

-13 + (- 9)  = -22

Answer:

2/4 3/6 4/8 5/10 6/12 7/14 8/16 9/18 10/20

Step-by-step explanation:

If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The least value of n is 4,

Inequality representation = ?

It is known that,

Least value  of n is 4

So, Minimum possible value of n is 4

Maximum value of n should be more than 4,

In order to satisfy the condition,

So,

n  > 4

By combining both the things,

It can be written as,

n ≥ 4

Hence, the best inequality representation is n ≥ 4

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Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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A decrease of 50%

1) Considering the first number to be 30 we can write out

30 ------100%

15 ------- x

2) Cross multiplying it, we have:

1500=30x

x=50

Since 15 is 50% then we can subtract 50% from 100% and the answer is

A decrease of 50%

The difference of the two complex numbers (5 + 3i) and (2 + 9i) is; 3 - 6i.

It follows from the task content that the two difference of the two complex numbers (5 + 3i) and (2 + 9i) be determined.

Since the numbers given are; (5 + 3i) and (2 + 9i).

The difference can be mathematically as follows;

( 5 + 3i ) - ( 2 + 9i )

By the Distributive property; we have;

5 + 3i - 2 - 9i

Collect like terms so that we have;

= 5 - 2 + 3i - 9i

= 3 - 6i

On this note, the difference between the two complex numbers is; 3 - 6i.

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Answer:

-19,6830x^26

Step-by-step explanation:

The nth term of a geometric sequence is expressed as;

Tn -= ar^n-1

a is the first term

is the number of terms

r is the common ratio

Given

a = -10x^8

r = 30x^10/-10x^8 = -3x^2

n = 10

Substitute

a10 =  (-10x^8)(-3x^2)^10-1

a10 =  (-10x^8)(-3x^2)^9

a10 =  -10x^8)(19,683)x^18

a10 = -19,6830x^26

Hence the tenth term is -19,6830x^26