Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals. f(x) = 4x (3) = f(5) = f(-2) = f(0.4) =

Answers

Answer 1

Using the function f(x) = 4x, we find that f(3) = 12, f(5) = 20, f(-2) = -8, and f(0.4) = 1.6.

To evaluate the function f(x) = 4x at the indicated values, we can use a calculator to perform the calculations.

f(3):

Multiply 3 by 4: 3 * 4 = 12

The value of f(3) is 12.

f(5):

Multiply 5 by 4: 5 * 4 = 20

The value of f(5) is 20.

f(-2):

Multiply -2 by 4: -2 * 4 = -8

The value of f(-2) is -8.

f(0.4):

Multiply 0.4 by 4: 0.4 * 4 = 1.6

The value of f(0.4) is 1.6.

The function simply multiplies the input value by 4 to determine the output value.

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Related Questions

What is the discriminant of the quadratic equation 0 = -x2 + 4x - 2? 4 8 012 O 24​

Answers

Answer:

It's 8

Step-by-step explanation:

help me please :)

thank you :P

Answers

Answer: Should be 7

Step-by-step explanation:

14/2 is 7

Which of the following systems of inequalities has point D as a solution?

Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D.

A. f(x) ≤ 3x + 4
g of x is less than or equal to negative one half times x minus 5
B. f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
C. f(x) ≤ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
D. f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5

Answers

The point labeled D is to the right of the intersection of the two linear functions. This means that its x-coordinate is greater than the x-coordinate of the point of intersection.

We can find the point of intersection by setting the two functions equal to each other:

3x + 4 = (-1/2)x - 5

Solving for x, we get:

(7/2)x = -9

x = -18/7

So the point of intersection is (-18/7, -29/7).

Since the x-coordinate of point D is greater than -18/7, we can eliminate options A and C.

Now we need to check whether option B or option D includes point D as a solution. To do this, we can simply plug in the coordinates of D into the two inequalities and see which one holds true.

Option B:

f(x) ≥ 3x + 4

2 ≥ 3(D) + 4

2 ≥ 3D + 4

-2 ≥ 3D

D ≤ -2/3

g(x) ≤ (-1/2)x - 5

2 ≤ (-1/2)(D) - 5

7 ≤ -D

D ≥ -7

Since -2/3 is less than -7, option B does not include point D as a solution.

Option D:

f(x) ≥ 3x + 4

2 ≥ 3(D) + 42 ≥ 3D + 4

-2 ≥ 3D

D ≤ -2/3

g(x) ≥ (-1/2)x - 5

2 ≥ (-1/2)(D) - 5

7 ≥ -D

D ≤ -7

Since -2/3 is less than -7, option D does not include point D as a solution either.

Therefore, neither option B nor option D includes point D as a solution. The correct answer is that neither system of inequalities has point D as a solution.

Given that z is a standard normal random variable, find z for each situation (to 2 decimals). Enter negative values as negative numbers. The area to the left of z is .2119. The area between -z and z is .9030. The area between -z and z is .2052. The area to the left of z is .9948. The area to the right of z is .6915.

Answers

After considering the given data we conclude that the z-score for each situation is
The area concerning left of z is .2119: z = -0.81
The area amongst -z and z is .9030: z = 1.44
The area amongst -z and z is .2052: z = 0.84
The area concerning left of z is .9948: z = 2.59
The area concerning right of z is .6915: z = 0.48

To evaluate the z-score for each situation, we can apply the z-table . Here are the steps to find the z-score for every situation:
The area concerning left of z is .2119:
Applying the z-table, we can evaluate that the z-score is -0.81.
The area amongst -z and z is .9030:
Applying the z-table, we can evaluate that the z-score is 1.44.
The area amongst -z and z is .2052:
Utilising the z-table, we can express that the z-score is 0.84.
The area concerning left of z is .9948:
Applying the z-table, we can calculate that the z-score is 2.59.
The area concerning right of z is .6915:
We need to evaluate the area concerning left of z first, which is

1 - 0.6915 = 0.3085.
Applying the z-table, we can compound that the z-score is 0.48.
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yo i need help please no links i just need the correct answer to pass this

Answers

3.2 i believe!!! sorry if i’m late

HELPPPPPO

In a school of 500 students, a random sample of 60
students are asked what
their favorite subject is. The
results are in the table. Based on this sample, how
many students in the school would we predict have
math as a favorite subject?

Answers

Answer:

150

Step-by-step explanation:

'x' = number of students out of 500 who selected math

18/60 = x/500

cross-multiply:

60x = 9000

x = 150

PLEASE HELP! EASY MATH!!

Rosie measures the heights and arm spans of the girls on her basketball team. She plots the data and makes a scatterplot comparing heights and arm spans, in inches. Rosie finds that the trend line that best fits her results has the equation y = x + 2. If a girl on her team is 69 inches tall, what should Rosie expect her arm span to be?



A) 69 = x + 2
x = 67 inches

B) y = 69 - 2 = 67 inches

C) y = 69 inches

D) y = 69 + 2 = 71 inches

Answers

Answer:

Your answer would be D. I know this is kind of late, but maybe other people that come up here could get some help

Step-by-step explanation:

Question is in picture

Answers

Answer:

hypotenuse = 102.69

Step-by-step explanation:

7(13) + 4 = 95

3(13) = 39

hypotenuse² = 95² + 39² = 9025 + 1521 = 10546

hypotenuse = √10546 = 102.69

Answer:

It is 102.7

Step-by-step explanation:

Let (h) is the hypotenuse so

[tex]h^{2} = {(7x + 4)}^{2} + {(3x)}^{2} \\ x = 13 \\ h^{2} = (95)^{2} + {(39)}^{2} \\ h = \sqrt{10546} \\ h = 102.7[/tex]

I hope that is useful for you :)

The total number of cookies, y, contained in x packages can be represented by the equation y=24x. Which of the following graphs best represents this situation?

Answers

Answer: B)

Step-by-step explanation:

By checking which graph is satisfied, we choose points that the function has pass through.

First, we know that y = mx + b, where m is the slope, how the line change; and b is the y-intercept. In this equation, the slope is 24 which the line is increased. So we can eliminate the choice D, the line in D decreased.

Then we find where the first point and second point this graph will be.

When x = 0, y = 24x = 24(0) = 0, (0,24)

When x = 1, y = 24x = 24(1) = 24, (1,24)

1 package can have 24 cookies, only B have 24 cookies in 1 package.

1. What is ✓ 48 in simplified radical form?

Answers

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex]

Someone please help ​

Answers

Answer:

The first one

Step-by-step explanation:

Because

Consider the following recurrence: an= 8 n = 1 {2an-1 +8 n>1 it a. Give a closed-form expression for the recurrence. b. Prove, using proof by induction, that your answer from part a is equivalent to the recurrence an?

Answers

a.The closed-form expression for the given recurrence is: an = 8 * [tex]2^{(n-1)} + 6.[/tex]

b.In the proof by induction, we showed that the closed-form expression for the recurrence, an = 8 * [tex]2^{(n-1)}[/tex] + 6, holds true for both the base case and the inductive step. Thus, confirming its equivalence to the given recurrence.

a.What is the closed-form expression for the given recurrence?

The closed-form expression for the given recurrence, an = [tex]2^n[/tex] * 8 - [tex]2^1[/tex] + 6, represents a direct formula to calculate the value of each term in the sequence. It involves exponentiation and arithmetic operations to determine the value based on the position (n) in the sequence.

b.How can we prove the equivalence between the closed-form expression and the recurrence using induction?

In the proof by induction, we will first establish the base case, which is n = 1. From the recurrence, we have a1 = 8 * [tex]2^{(1-1)}[/tex] + 6 = 8. Substituting n = 1 into the closed-form expression, we also get a1 = 8 * [tex]2^{(1-1)}[/tex] + 6 = 8. The base case holds.

Next, we assume that the closed-form expression is true for an arbitrary positive integer k, i.e., ak = 8 * [tex]2^{(k-1)}[/tex] + 6.

Now, we will prove that it holds for k + 1, i.e., ak+1 = 8 * [tex]2^k[/tex] + 6.

Using the recurrence, we have ak+1 = 2 * ak-1 + 8 = 2 * (8 * [tex]2^{(k-1)}[/tex] + 6) + 8 = 16 * [tex]2^{(k-1)}[/tex] + 12 + 8 = 8 * [tex]2^k[/tex] + 6.

By comparing this with the closed-form expression, we see that ak+1 = 8 * [tex]2^k[/tex] + 6.

Therefore, the closed-form expression holds for k + 1.

By the principle of mathematical induction, we have proven that the closed-form expression, an = 8 * [tex]2^{(n-1)}[/tex] + 6, is equivalent to the given recurrence.

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The solution to the recurrence relation T(n) = T(n-1) + 2, with T(1) = 0, is T(n) = 2k.

To solve the given recurrence relation T(n) = T(n-1) + 2, for n > 0, with the initial condition T(1) = 0, we can use backward substitution.

1. Start with the base case T(1) = 0.

2. Substitute T(n-1) with T(n-2) + 2 in the original recurrence relation:  
T(n) = T(n-1) + 2  
    = (T(n-2) + 2) + 2  
    = T(n-2) + 4

3. Repeat the substitution process until we reach the base case:
T(n) = T(n-1) + 2  
    = (T(n-2) + 2) + 2  
    = ((T(n-3) + 2) + 2) + 2  
    = T(n-3) + 6

4. Continue this process until n - k = 1, where k is a positive integer.

5. Finally, substitute n - k with 1:
T(n) = T(n-1) + 2  
    = (T(n-2) + 2) + 2  
    = ((T(n-3) + 2) + 2) + 2  
    = ...  
    = T(1) + 2k

6. Since T(1) = 0, we have:  
T(n) = 0 + 2k  
    = 2k

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Someone help me please! With 3 and 4

Answers

22h=22
So h=1
This answer is the only mistake in the equation

Alan and Beth share $1190 in the ratio Alan : Beth = 5:2.
Work out how much Alan receives.
options:
$850
$1666
$34
$119​

Answers

The share of money Alan receives is $850. Therefore, option C is correct answer.

Given that, the total amount is $1190 and the ratio Alan: Beth = 5:2.

We need to find the how much money Alan gets.

What is the ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, 5+2=7

Money Alan receives=5/7×1190

=$850

The share of money Alan receives is $850. Therefore, option C is correct answer.

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hey hottie !

Which of the following situations does Mrs. Ji Woo's hourly wage change by a constant percent?
A)Mrs. Ji Woo's starting hourly wage is $30.00 per hour the first year, and it increases by $2.50 each year.

B)Mrs. Ji Woo's hourly wage is $20 per hour in the first year, $22 per hour the second year, $24.20 per hour the third year, and so on.

C)Mrs. Ji Woo's starting hourly wage is $15.00 per hour. Her hourly wage is $15.75 after one year, $17.00 after two years, $18.75 after three years, and so on.

D)Mrs. Ji Woo's starting hourly wage is $28.00 per hour. She receives a $0.75 per hour raise after one year, a $1.00 per hour raise after the second year, a $1.25 raise after the third year, and so on.

Answers

Answer:

B I think

Step-by-step explanation:

I think it's B because in b it says so on which means his raise keeps going up each year

Help ! I’m stuck. Any help would be gladly appreciated

Answers

Answer:

The answer is D

hope this helps

What is the least common multiple of 3,4 and 6?

Answers

Answer:

12

Step-by-step explanation:

Write down multiples of each number:

3, 6, 9, 12 . . .

4, 8, 12 . . .

6, 12 . . .

The first one they all have is the LCM.

Answer:

12

Step-by-step explanation:

Think of it this way. Simplifying 3, 4 and 6 into their simplest factors:

[tex]3=3[/tex]

[tex]4=2*2[/tex]

[tex]6=3*2[/tex]

6 is a multiple of both 3 and 2, which are both represented by the factors of 3 and 4. Thus, as it is doubled in these, it is not necessary to find the lowest common multiple of the numbers.

Now the LCM can be multiplied with the factors of the remaining numbers:

LCM[tex]=3*2*2[/tex]

Notice the first two numbers equal 6, the second and third equal 4, and the first only equals 3. This means the three numbers are represented in the LCM.

[tex]3*2*2=24[/tex]

And that is the LCM, so we are done. QED

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 320 babies were born and 288 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?

Answers

Based on the sample data, we can construct a 99% confidence interval estimate for the percentage of girls born as approximately 85.1% to 94.9%.

To construct a confidence interval estimate for the percentage of girls born, we can use the formula for estimating a proportion.

First, we calculate the sample proportion, which is the number of successes (girls) divided by the total number of trials (babies born):

Sample proportion (p-hat) = Number of girls / Total number of babies born

= 288 / 320

= 0.9

Next, we can construct the confidence interval using the sample proportion. Since we want a 99% confidence interval, we need to find the critical value corresponding to that level of confidence. For a two-tailed test, the critical value is obtained from the standard normal distribution (Z-distribution).

Using a Z-table or calculator, the critical value for a 99% confidence level is approximately 2.576.

The margin of error (E) can be calculated as:

Margin of error (E) = Critical value * Standard error

The standard error (SE) for estimating a proportion is given by:

Standard error (SE) = [tex]\sqrt {(p-hat * (1 - p-hat)) / n}[/tex]

where p-hat is the sample proportion and n is the sample size.

Using these values, we can calculate the margin of error:

Standard error (SE) = [tex]\sqrt {(0.9 * (1 - 0.9)) / 320}[/tex]

≈ 0.019

Margin of error (E) = 2.576 * 0.019

≈ 0.049

Finally, we can construct the confidence interval:

Confidence interval = Sample proportion ± Margin of error

= 0.9 ± 0.049

≈ (0.851, 0.949)

Therefore, based on the sample data, we can construct a 99% confidence interval estimate for the percentage of girls born as approximately 85.1% to 94.9%.

Since the interval includes the value of 0.5 (50%), which represents an equal chance of having a girl or a boy, it suggests that the method used in the clinical trial does not significantly increase the probability of conceiving a girl.

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5 - y"+ 2y' = 2x+5-e-2x {undetermined coefficients)

Answers

The solution to the differential equation 5y'' - 2y' = 2x + 5 - e^(-2x) using the method of undetermined coefficients is given by y = C1 + C2e^(2x) - (5/2)x + B, where C1, C2, and B are constants determined by the initial or boundary conditions.

To solve the differential equation 5y'' - 2y' = 2x + 5 - e^(-2x) using the method of undetermined coefficients, we assume a particular solution of the form:

y_p = Ax + B + Ce^(-2x)

where A, B, and C are undetermined coefficients to be determined.

Taking the derivatives:

y_p' = A - 2Ce^(-2x)

y_p'' = 4Ce^(-2x)

Substituting these derivatives into the original differential equation, we have:

5(4Ce^(-2x)) - 2(A - 2Ce^(-2x)) = 2x + 5 - e^(-2x)

Simplifying the equation:

20Ce^(-2x) - 2A + 4Ce^(-2x) = 2x + 5 - e^(-2x)

(24C)e^(-2x) - 2A = 2x + 5 - e^(-2x)

For the equation to hold for all x, the coefficients on both sides of the equation must be equal.

Matching the coefficients:

24C = 0 -> C = 0

-2A = 5 -> A = -5/2

Therefore, the particular solution is:

y_p = (-5/2)x + B

To find the value of B, we substitute the particular solution back into the original differential equation:

5(-5/2) - 2(0) = 2x + 5 - e^(-2x)

-25/2 = 2x + 5 - e^(-2x)

Solving for x and e^(-2x) in terms of B:

2x = -25/2 - 5 + e^(-2x)

2x = -35/2 + e^(-2x)

As the left side is a linear function of x and the right side is a constant plus an exponential function, there is no value of x that satisfies this equation for all x. Hence, the equation is inconsistent, and there is no particular solution in the form y_p = Ax + B.

Therefore, the solution to the given differential equation using the method of undetermined coefficients is the complementary function (homogeneous solution) plus the particular solution, which is:

y = y_c + y_p = C1 + C2e^(2x) + (-5/2)x + B

where C1 and C2 are constants determined by the initial or boundary conditions, and B is an arbitrary constant.

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y=x+8
x+y=2
Solving Systems by Substitution

Answers

Answer:

{-3, 5}.

Step-by-step explanation:

y = x + 8

x + y = 2

Substitute y = x + 8 in the second equation:

x + x + 8 = 2

2x + 8 = 2

2x = -6

x = -3

Now plug this into the first equation

y = -3 + 8 = 5.

HELP PLEASE! MARKING BRAINLIEST

WHT IS THE CIRCUMFERENCE OF THE CIRCLE SHOWN IN THE PICTURE? (Also show the process or tell me what the radius or diameter of the circle is)

Answers

Answer:

109.9 cm

Step-by-step explanation:

Circumference = (pi)(diameter)

They tell you diameter = 35

c = (3.14)(35)

c = 109.9 cm

Please lmk if you have questions.

Answer:

circumference : 109.96 cm

Step-by-step explanation:

The radius of a circle is half its diameter. The radius of a circle with a diameter of 35cm is 17.5cm.

The circumference of a circle is found by 2πr . So that would be 2π 17.5

which would be equal to 109.96cm (2 sig. fig.).

The area of a circle is found by πr2 . So that's π⋅17.5 which is equal to 962.11cm (2 sig.fig.).

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer
than Noah, and Noah scores three times as many points as Mai. If Mai
scores 5 points, how many
points did Elena score? Explain your reasoning.

Answers

Answer:

22

Step-by-step explanation:

if mai scores 5 points and noah scores 3 times that then noah scored 15 points, and if tyler scores four less than noah than he scored 11 points, which you multiply by 2 to get elena's score which is 22

What is the answer to this question?

Answers

Answer:

C is the answer also can I have brian list

Step-by-step explanation:

Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1

Answers

You are adding two each time

Two samples of sizes 25 and 35 are independently drawn from two normal populations has standard deviation of 0.9 and 0.8 respectively. Determine the variance sampling distribution for difference of two means.
A. 0.25
B. 0.51
C. 0.30
D. 0.051

Regardless of the shape of the population, the sampling distribution of the mean approaches a normal distribution as sample size increases
A. False
B. True

Answers

The variance of the sampling distribution for the difference of the two means is 0.0147142857.

The correct option is D. 0.051.

The variance of the sampling distribution for the difference of two means of sample populations can be calculated using the formula given below:

[tex]\Large\frac{{{\sigma }_{1}}^{2}}{n_{1}}+\frac{{{\sigma }_{2}}^{2}}{n_{2}}[/tex]

Where,[tex]{{\sigma }_{1}}$ and ${{\sigma }_{2}}[/tex] are the standard deviations of the two populations respectively, and [tex]{{n}_{1}} and ${{n}_{2}}[/tex] are the sample sizes of the first and second populations respectively.

Substituting the given values, we get

[tex]\Large\frac{0.9^2}{25}+\frac{0.8^2}{35}=0.009+0.0057142857[/tex]

=0.0147142857

Therefore, the variance of the sampling distribution for the difference of the two means is 0.0147142857.

Sampling distribution approaches normal distribution:

True. Regardless of the shape of the population, the sampling distribution of the mean approaches a normal distribution as the sample size increases.

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Wendy’s family lost the power at their house when there was a bad storm. The power was out for 3 days! Wendy’s neighbors lost power for 68 hours. Whose power was out for a greater amount of time?

Can someone help me on this one please?

Answers

Wendy’s family lost power for the longer time than the neighborhood, 68 hours to days would be 2.83 which would be 2.8.

Can anyone help me with this? Please and thank you!

Answers

Answer:

x=-6, y=-7

Step-by-step explanation:

Answer:

x = -6, y = -7

Step-by-step explanation:

One way to solve for x and y is using the substitution method

(1) 3x + 4y = -46

(2) 6x + y = -43

Solve for y in equation (2)

6x + y =-43, so y = -43 - 6x

Substitute y = -43 -6x into equation (1)

3x + 4(-43 -6x) = -46

3x -172 -24x = -46

-21x -172 = -46

-21x = 126

x = -6

Find y by substituting x = -6 into equation (2)

6(-6) + y = -43

-36 + y = -43

y = -7

HELP PLEASE AND ASAP!!!!! look at the screen shot (10 pts)

Answers

Answer: 1/4

Step-by-step explanation:

3/12 simplified so divide the numerator and denominator by 3, you get 1/4

Answer B)1/4
3/12 = 0.25 or 1/4

Each person is dealt 5 cards, show the total number of cards dealt for each players from 3 to 6 write the ratio of cards dealt

Answers

Answer:

Following are the responses to these question:

Step-by-step explanation:

Because every player has 5 cards handed

The card ratio is 5:1 per player.

So, if there are three teams

5 times 3=15 Cards 

Four players=four times five=20 cards

Five players=5 times five=25 cards

6 cards=6 times 5=30 cards

The card ratio is 5:1 per player.

Suppose you expect to receive the following cashflows: $14,000 today followed by $6,000 each year for the next 11 years (so the last cash flow is at year 11). How much is this cashflow stream worth to you today if the appropriate discount rate is 7.1%? Round to the nearest dollar.

Answers

The cash flow stream consisting of $14,000 today followed by $6,000 each year for the next 11 years, discounted at a rate of 7.1%, is worth approximately $52,743 to you today.

To determine the present value of the cash flow stream, we need to discount each cash flow back to the present using the appropriate discount rate.

The present value (PV) of each cashflow can be calculated using the formula:

[tex]PV = CF / (1 + r)^n[/tex]

where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of periods.

Calculating the present value of each cash flow and summing them up, we get:

[tex]PV = \$14,000 + \$6,000 / (1 + 7.1\% / 100)^1 + \$6,000 / (1 + 7.1\% / 100)^2 + ... + \$6,000 / (1 + 7.1\% / 100)^11[/tex]

Evaluating the expression, we find that the present value of the cash flow stream is approximately $52,743 when rounded to the nearest dollar.

This means that if you discount the future cash flows at a rate of 7.1%, the combined value of all the cashflows today would be approximately $52,743.

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Other Questions
TexMex Food Company is considering a new salsa whose data are shown below. Under the new tax law, the equipment to be used in the project is eligible for 100% bonus depreciation, so it will be fully depreciated at t = 0. At the end of the project's life, the equipment would have zero salvage value, and no change in net operating working capital (NOWC) would be required for the project, Revenues and operating costs are expected to be constant over the project's 3-year life. However, this project would compete with other TexMex products and would reduce their pre-tax annual cash flows. What is the project's NPV? (Hint: Cash flows are constant in Years 1-3.) Do not round the intermediate calculations and round the final answer to the nearest whole number. WACC 10.0% Pre-tax cash flow reduction for other products (cannibalization) $7,000 Equipment cost $180,000 Annual sales revenues $75,000 Annual operating costs $25,000 Tax rate 25.0% a.-554,799 b. $99,799 C. $46,779 d. 526,822 e-542,526 U = x10.5x2 ; P1 = The Engel curve for x is: m = 13; p2 = 5; and m = 100. X1. Answer is an integer. Help me with this please How did the Marshall Plan work toward America's goals during the early years of the Cold War? Question 5: Surfboards USA wants to expand its operations to Australia. The current indirect exchange rate is 1.45 for US and Australia dollars. The anticipated inflation rate is 3% in the United States, but only 1.5% in Australia. The discount rate in the United States for the expansion project is 14%. If the company has forecast the following Australian dollars for the expansion project, should Surfboards USA expand to Australia based on domestic NPV approach?Initial investment: A$40,000,000 (Note that: A$ means Australian dollars) Year 1: cash flow: A$5,000,000Year 2: cash flow: A$9,000,000Year 3: cash flow: A$16,000,000Year 4: cash flow: A$20,000,000 Year 5: cash flow: A$8,000,000 Year 6: cash flow: A$3,000,000 Which of the following is an equation of the line through (2,3) and (-1, -12)? Garrick and Zan are measuring the heights of seedling plants for science class. Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants. CLEAR CHECK Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error. Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was What is the unit multiplier for days and weeks? For the year ended December 31, 2017, Don Raff earned $1,000 interest at Ridge Savings Bank on a certificate of deposit scheduled to mature in 2019. In January 2018, before filing his 2017 income tax return, Raff incurred a forfeiture penalty of $500 for premature withdrawal of the funds. Raff should treat this $500 forfeiture penalty as a:_________ Scientists group similar organisms together through a process called .. 1. What volume of a 2.50M Kl(aq) is needed to make 200 ml of a 1.OOM KI)aq)? Assume preferred stock of Ford Motors pays a dividend of $3.00 each year and trades at a price of $20. What is the cost of preferred stock capital for Ford? O a) 12.0% O b) 13.5% O c) 15.0% O d) 16.5% Three companies, A, B and C, make computer hard drives. The proportion of hard drives that fail within one year is 0.001 for company A, 0.002 for company B and 0.005 for company C. A computer manufacturer gets 50% of their hard drives from company A, 30% from company B and 20% from company C. The computer manufacturer installs one hard drive into each computer. (a) What is the probability that a randomly chosen computer purchased from this manufacturer will experience a hard drive failure within one year? [4 marks] (b) I buy a computer that does experience a hard drive failure within one year. What is the probability that the hard drive was manufactured by company C? [4 marks] Hemosiderin found in macrophages and PMNs in lung tissue indicate which of the following?a. Aggregationb. Anemiac. Pulmonary congestiond. Transudation An analysis of sites for a distribution center has led to two possible sites (L1 and L2 on the map). The sites are comparable on every key factor. The one remaining factor is the center of gravity. Use the center of gravity method to select the better site. Monthly shipments will be the quantities listed in the table. Referencing the graph below, all destination locations occur at whole number x and y coordinates. (Round your answers to 2 decimal places.) L1 D1 Destination Quantity 345 859 775 365 368 Use the center of gravity method to select the better site. Center of Gravity Better site Click to select) find pictures of both the inside and outside of a tenement building, then describe what they were like, where they were found, and what people lived in them. Which of the following are true about the Aztec civilization. MULTIPLE CHOICE! Consider the following: Success in Asia still runs on power, prestige and influence, favours given and received , family fortune and connections. Without these even the simplest deal can come unstuck for no obvious reasons. For example, the Chinese, Japanese, Koreans and Indians have theor own special connections and business styles come down to trust and credibility who vouchers for whom.There are six big economic groups in Asia that are growing fast as aresult of newtorking. These are:Japanese keiretsu company connectionsKoreans with Chaebol conglomeratesChinese Guanxi personal trust and strong relationship connections with someone, which can involve moral obligations and exchanging favours.Ethnic or overseas Chinese with their store wealth, extended family, dialect and guild connections.The emerging pribumi and bumiputera (indigenous) business leadersof Indonesia and Malayasia with their political connections;The indians with their family dynastiesIt is networking on a grand scale that provides the basis of international operations as there are estimated 57 million Chinese and 18 million Indians that are living abroad. A Singaporean Chinese trader may have family connections in Taiwan, Hong Kong, Guandong, Fujian or Vietnam that provide legal, banking and support services when moving across borders.In the West many of the old, great family business dynasties have declined in importance and give way to the new entrepreneurs who have exploited new digital techonogies, such as Grab Taxis and Alibaba. Perhaps such organisations are creating new family dynsasties.QuestionIn your response, to what extent do you expect the old Asian family groups to be the future of business successes (3 marks) and to what extent do you expect the new groups that have created their wealth through new technologies succeed them? (3 marks) I really need help please and thank you read the article and use the information to answer the following questions. cholera in haiti what events likely led to the outbreak of cholera in haiti?