One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.

Answers

Answer 1

Answer:

Georgio has to earn $1,800 and borrow $2,700.


Related Questions

The mean number of years of marriage preceding divorce is 7. The median mber of years is 6. Most divorces occur, however, either at 3 years of marriage 22 years. Which measure of central tendency best describes these data, and y?

Answers

The measure of central tendency that best describes the given data is the Mode.

The mode is the value that occurs most frequently in a data set. According to the given data, most divorces occur either at 3 years of marriage or 22 years. Hence, the mode best describes these data.

The mean is the average value of a data set, which is calculated by adding all the values and dividing by the number of values.

The median is the middle value of a data set when arranged in numerical order. In the given data, the mean number of years of marriage preceding divorce is 7, and the median number of years is 6. Since most divorces occur at either 3 years or 22 years, the mode best describes the given data.

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You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a number less than 3 and flipping tails is

Answers

Answer:

1/5

Step-by-step explanation

The spinner has the numbers 1-5 and they want the numbers less than 3 there a 2/5 then multiply the denominator by 1/2 thin divide it by 2

2/10 divided by 2 = 1/5

.

2+x5-3=(2+)x(5-3) is the equation true or not show work why

Answers

This equation has some nested grouping symbols on the left-hand side. As usual, I'll simplify from the inside out. I'll start by inserting the "understood" 1 in front of that innermost set of parentheses:

3 + 2[4x – (4 + 3x)] = –1

3 + 2[4x – 1(4 + 3x)] = –1

3 + 2[4x – 1(4) – 1(3x)] = –1

3 + 2[4x – 4 – 3x] = –1

3 + 2[1x – 4] = –1

3 + 2[1x] + 2[–4] = –1

3 + 2x – 8 = –1

2x + 3 – 8 = –1

2x – 5 = –1

2x – 5 + 5 = –1 + 5

2x = 4

x = 2
It is not required that you write out this many steps; once you get comfortable with the process, you'll probably do a lot of this in your head. But until you reach that comfort zone, you should write things out at least this clearly and completely.

Always remember, by the way, that you can check your answers in "solving" problems by plugging the numerical answer back in to the original equation. In this case, the variable is only in terms on the left-hand side (LHS) of the equation; my "check" (that is, my evaluation at the solution value) looks like this:

LHS: 3 + 2[4x – (4 + 3x)]:

3 + 2[4(2) – (4 + 3(2))]

3 + 2[8 – (4 + 6)]

3 + 2[8 – (10)]

3 + 2[–2]

3 – 4

–1
Since this is what I was supposed to get for the right-hand side (that is, I've shown that the LHS is equal to the RHS), my solution value was correct.


Bryce is testing whether school is more enjoyable when students are making high grades. He asked 100 students if they enjoyed school and whether their GPA was
above or below 3.0. He found that 33 of the 40 students with a GPA above 3.0 reported that they enjoyed school, and 5 of the 60 students with a GPA below 3.0
reported that they enjoyed school. What is the probability that a student with a GPA below 3.0 does not enjoy school?

Answers

Hiiiiiiii The answer would be D

When you submit this form, the owner will see your name and email address.

1

Problem 1.

The force system shown is to be replaced with an equivalent system consisting of a horizontal force applied at b and a vertical force applied to the horizontal leg.

1.1. What is the magnitude of the vertical force, in Newton, applied to the horizontal leg? (rounded-off to the nearest whole number; do not write the unit)

Answers

The magnitude of the vertical force applied to the horizontal leg in the equivalent force system.

To determine the magnitude of the vertical force applied to the horizontal leg, we need to find the vertical component of the given force system. Looking at the diagram, we observe that the force system consists of a vertical force at point A and a horizontal force at point B. We can use trigonometry to find the vertical component of the force at point A.

Let's denote the magnitude of the force at point A as F_A and the angle it makes with the horizontal leg as θ. The vertical component of the force can be calculated using the formula: Vertical component = F_A * sin(θ).

Since the vertical component of the force should be equal to the force we are trying to find, we can set up the equation: Vertical component = F_vertical.

Now, we can substitute the given values into the equation and solve for F_vertical. Once we have the value, we can round it off to the nearest whole number, as instructed.

Please note that without specific values or angles provided in the problem statement or accompanying diagram, it is not possible to provide a precise numerical answer.

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Help fastttt someone pls and no files will block you

Answers

I believe h is the answer

Poosjsjdiwjqjsnsjjdd

Answers

Answer:

poosjsjdwjqisnsjjdd

Step-by-step explanation:

Answer:

what's the question?

How many solutions does the equation 3(x-5)-7=-3x8 have

Answers

Answer:

not really good at maths. 15.33

Step-by-step explanation:

3(x-5)-7=3×8

3x-15-7=24

3x =24+15+7

3x = 46

Three will divide it's self to give you one and divide 46 to give you 15.333

(correct me if i'm wrong)

Which of these is an example of a continuous random variable?
O A. Number of breaths in a minute
O B. Number of employees at a company
O C. Scores in a bowling tournament
D. Length of a fish

Answers

Answer:

D Length of  F I S H

Step-by-step explanation:

I chose the bowling one and got it wrong, but you can have the right answer

Answer: length of a fish

Step-by-step explanation: quizzzz

let f(x) = x2/3 + 4x, then by the Fundamental Theorem of Calculus where F(x) = ∫f(x) then F'(x) = f(x) so we are looking for the function F whose derivative is x2/3 + 4x.
By the power rule, the function F (whose derivative is x2/3 + 4x) would have to be an x3 and an x2 function since the power rule reduces the exponent by 1. But notice that if it was just x3 and x2 then the derivative of that would be 3x2 and 2x while f(x) is x2/3 + 4x. That means F(x) must be composed of x3/9 and 2x2 so the derivative turns out right.
The Fundamental Theorem of Calculus also states that 0∫b f(x)dx = F(b) - F(0) therefore we can say 0∫b f(x)dx = (b3/9 + 2b2) - (03/9 + 2(0)2) which is just b3/9 + 2b2

Answers

By the Fundamental Theorem of Calculus where F(x) = ∫f(x) then F'(x) = f(x).

We are looking for the function F whose derivative is x^(2/3) + 4x.

By the power rule, the function F (whose derivative is x^(2/3) + 4x) would have to be an x³ and an x² function since the power rule reduces the exponent by 1.

The derivative of x^3 is 3x² and the derivative of 2x² is 4x. As F'(x) = x^(2/3) + 4x.

But notice that if it was just x^3 and x^2 then the derivative of that would be 3x² and 2x while f(x) is x^(2/3) + 4x.

That means F(x) must be composed of x^(2/3+1)/(2/3+1) and 2x^1/(1+1) so the derivative turns out right.Hence, the function F(x) = 3x^(5/3)/5 + 2x^2/2 = 3x^(5/3)/5 + x^2.

The Fundamental Theorem of Calculus also states that ∫(from 0 to b) f(x)dx = F(b) - F(0).

Therefore we can say 0∫b f(x)dx = (b^(3/9) + 2b²) - (0^(3/9) + 2(0)²) which is just b^(3/9) + 2b².

Hence, the answer is b^(3/9) + 2b².

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If the point (-4,-8) is on the graph of the function L(x) and the slope of the line is 15, what is the equation for the function L(x).

Answers

The equation of the function L(x) is given by y = 15x + 52.

To find the equation of the function L(x), given that the point (-4, -8) is on the graph of the function L(x) and the slope of the line is 15, we use the point-slope form of the equation of a line.

Let's assume that the equation of the function L(x) is of the form y = L(x).

The slope of the line, m = 15

The point (-4, -8) is on the line, which means that it satisfies the equation of the line: y - y1 = m(x - x1),

where (x1, y1) = (-4, -8)

Substituting m, x1 and y1 in the equation of the line, we get:

y - (-8) = 15(x - (-4))y + 8

= 15(x + 4)y + 8

= 15x + 60y

= 15x + 52

The equation of the function L(x) is y = 15x + 52.

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You read that a nationwide survey found that the preferences for ice cream (people had to
choose ONE) are: chocolate: 31%; vanilla: 25%; strawberry: 4%; cookie dough: 17%; and "other":
23%. You live in Berryville, where growing strawberries is a major industry. You suspect that
this may affect the distribution of preferences in your area. You get a sample of 500 Berryville
residents and have them make a choice.

a. State the null hypothesis in words. b. State the alternative hypothesis in words

Answers

Answer : Null Hypothesis (H0) The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is equal to or greater than the national average of 4%.”

Alternative Hypothesis (Ha) The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is significantly lower than the national average of 4%.”

Explanation :

a. Null Hypothesis (H0) is a statement which suggests that there is no significant difference between two populations or samples in the study. In this scenario, the null hypothesis can be stated as follows:“The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is equal to or greater than the national average of 4%.”

b. Alternative Hypothesis (Ha) is a statement that counters the null hypothesis by suggesting that there is a significant difference between two populations or samples in the study. In this scenario, the alternative hypothesis can be stated as follows:“The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is significantly lower than the national average of 4%.”

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Please help I will give 20 points if right

Answers

Answer:

for my own advice you should add those numbers then that Square unit if she's there it's 90° so you should find the area of the polygon which that thing when you come this sides you get the number of the polygon with your plus then by those numbers then he write his equals to 90 degree then you'll get your answer thank you

ill give brainliest

Write and solve the equation for the following situation:

Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.

A. x + 16 = 90 x = 74

B. x + (x - 16) = 90 x = 53

C. 2x + 16 = 90 x = 37

D. x + 16 = 180 x = 164​

Answers

C. For sure. Hope it helps

When light arrives and leaves a reflecting surface the angle with the line perpendicular to the surface is what?

Answers

Answer:

the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).

Step-by-step explanation:

Answer:

The angle which the light leaves or bounces off a surface is angle of reflection.

Step-by-step explanation:

has two types of light rays. The incoming ray and the outgoing, or reflected, ray. The angle between the incident ray and an imaginary perpendicular line drawn to the surface of the mirror is called the angle of incidence.

x^2-8x+15
expresión racional ​

Answers

Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

Let X = {a, b, c) and A = {4, X, {a}, {b,c}}, Ag = {4, X, {b}, {a, c}} be two o-algebras over X. Then a. An.A, is not a o-algebra over X. b. An A, is a o-algebra over X and A, UA, is not a g-algebra over X. c. A, UA, is a o-algebra over X. d. None of the above. O O b. e. O d. a Let (X, 4) be a measurable space and let f, g: X → R be two mea- surable functions. Which of the following statements is false? a. 52 . 108>1] + \S1g

Answers

An A is a -algebra over X and A ∪ Ag is not a -algebra over X.

In this case, let's analyze the properties of the sets in question:

X = {a, b, c}

A = {4, X, {a}, {b, c}}

Ag = {4, X, {b}, {a, c}}

To determine if An A is a -algebra over X, we need to check if it satisfies the three conditions of a -algebra:

1. X ∈ An A: In this case, X = {a, b, c} ∈ An A, since X is a subset of itself.

2. An A is closed under complementation: For any set E ∈ An A, we need to ensure that its complement, X \ E, is also in An A. Let's check the sets in A:

- {4} ∈ An A: The complement is X \ {4} = {a, b, c}, which is not in An A.

- X ∈ An A: The complement is X \ X = ∅, which is in An A.

- {a} ∈ An A: The complement is X \ {a} = {b, c}, which is in An A.

- {b, c} ∈ An A: The complement is X \ {b, c} = {a}, which is in An A.

Since not all sets in A have complements in An A, An A is not closed under complementation and therefore not a -algebra over X.

Now let's analyze A ∪ Ag to determine if it is a -algebra over X:

1. X ∈ A ∪ Ag: Since X is a subset of itself, X ∈ A ∪ Ag.

2. A ∪ Ag is closed under complementation: For any set E ∈ A ∪ Ag, we need to ensure that its complement, X \ E, is also in A ∪ Ag. Let's check the sets in A and Ag:

- {4} ∈ A ∪ Ag: The complement is X \ {4} = {a, b, c}, which is in A ∪ Ag.

- X ∈ A ∪ Ag: The complement is X \ X = ∅, which is in A ∪ Ag.

- {a} ∈ A ∪ Ag: The complement is X \ {a} = {b, c}, which is in A ∪ Ag.

- {b, c} ∈ A ∪ Ag: The complement is X \ {b, c} = {a}, which is in A ∪ Ag.

Since all sets in A and Ag have complements in A ∪ Ag, A ∪ Ag is closed under complementation and is a -algebra over X.

In conclusion, option b is the correct answer: An A is a -algebra over X, and A ∪ Ag is not a -algebra over X.

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verify x+(y+z) =(x+y) +z, when x=-4/15, y=-4/5and z =17/8​

Answers

Answer:

The equality is true

Step-by-step explanation:

x+(y+z)=(x+y)+z

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24

x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true

Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!

Answers

Answer:

200

Step-by-step explanation:

Find the surface area.

Answers

The surface are is 29

Answer:

600ft^2

Step-by-step explanation:

Step One: There are two identical faces of each, which means we can multiply each face times two to make it faster. The first face will be 2(4*12)=96. I muliplied by two, because, once again, there are two faces of each.

Step Two: The next is 2(18*12)=432 and lastly, 2(4*18)= 72

Step Three: We just have to add it all up: 72+96+432= 600ft^2

Question 10 of 10
In a unit circle, 0 = 3pi/2 radians. What is the terminal point?
A. (0,1)
B. (1,0)
C. (-1,0)
D. (0, -1)

Answers

I think it’s D (sorry if you get it wrong)

The terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

In a unit circle, θ = 3π/2 radians.

r = 1

Angle θ = 3π/2

The terminal point is (rcosθ, rsinθ)

= (cos3π/2, sin3π/2)

= (0, -1)

Thus, the terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.

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triangle abc with vertices at a(−1, −1), b(1, 1), c(0, 1) is dilated to create triangle a′b′c′ with vertices at a′(−3, −3), b′(3, 3), c′(0, 3). determine the scale factor used.

Answers

1] The scale factor used to dilate triangle ABC to create triangle A'B'C' is

2] To determine the scale factor used, we can compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.

Using the distance formula, we can calculate the lengths of the sides:

Side AB:

For triangle ABC: AB = √[(1 - (-1))^2 + (1 - (-1))^2] = √8 = 2√2

For triangle A'B'C': A'B' = √[(3 - (-3))^2 + (3 - (-3))^2] = √72 = 6√2

Side AC:

For triangle ABC: AC = √[(0 - (-1))^2 + (1 - (-1))^2] = √5

For triangle A'B'C': A'C' = √[(0 - (-3))^2 + (3 - (-3))^2] = √72 = 6√2

Side BC:

For triangle ABC: BC = √[(1 - 0)^2 + (1 - 1)^2] = 1

For triangle A'B'C': B'C' = √[(3 - 0)^2 + (3 - 3)^2] = 3

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What is a scatterplot?

a graph showing the relationship between two sets of data
a relationship between two variables
a data point that does not fit the general pattern in the data
a group of data points around a value

Answers

Answer:

a graph showing the relationship between two sets of data

Step-by-step explanation:

A graph showing the relationship

Data Mining. Data Mining cannot automatically find beneficial patterns for a business. True False

Answers

False. Data mining can automatically find beneficial patterns for a business by utilizing various techniques and algorithms to extract valuable insights and uncover hidden patterns from large datasets.

Data mining refers to the process of discovering patterns, relationships, and insights from large datasets. It involves using various techniques and algorithms to extract valuable information and knowledge from data. One of the primary goals of data mining is to uncover patterns that can be beneficial for businesses, such as identifying customer preferences, market trends, or predicting future outcomes.

Through automated analysis and pattern recognition, data mining can uncover hidden patterns and relationships that may not be apparent through traditional manual analysis. Therefore, data mining has the potential to automatically find beneficial patterns for businesses, making the statement "Data Mining cannot automatically find beneficial patterns for a business" false.

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Carissa’s gerbil has a tail that is the same length as its body length. Its tail is 102 millimeters. How long is her gerbil in centimeters?

Answers

Answer:

10.2 cm

Step-by-step explanation:

Divide the tail length by 10

HoPe ThIs HeLpEd youuu! lol :)

Answer: 10.2 cm

Hope this helped! :D

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

Answers

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

y = -2x + 8

-y = -2x + 4

y = -2x + 8

0 = -4x + 12

-4x = -12

x = 3

the annual
The present population of
of a town is 66550. If the annual population growth
rate is 10% what was
the Population growth of town 3 years ago ?

Answers

Answer:

Population (t=-3)= 50,000

Step-by-step explanation:

Giving the following information:

Annual growth rate (g)= 10%

Number of periods (n)= 3 years

Present Value (PV)= 66,550 people

To calculate the population three years ago, we need to use the following formula:

Population (t=-3)= PV / (1 + g)^n

Population (t=-3)= 66,550 / (1.1^3)

Population (t=-3)= 50,000

Three angles of a quadrilateral measure 45°, 95°, and 111°. What is the measure of the fourth angle of the quadrilateral?​

Answers

Answer:

109°

Step-by-step explanation:

sum of angles of a quadrilateral=360°

45+95+111+fourth angle=360

fourth angle=360-251=109°








Use Cramer's vale to solve the following system of equation: J2X1 - X2-3 = 0 ./) X1 + 3X2-7= 0 3X1 + 2X2-1=0 4X1 + 5X2 = 14

Answers

Using Cramer's rule the solutions to the system of equations are:

X1 = 21 / (-J2 - 9)

X2 = -12 / (-J2 - 9)

Using Cramer's rule, we can solve the system of equations:

J2X1 - X2 - 3 = 0

X1 + 3X2 - 7 = 0

3X1 + 2X2 - 1 = 0

4X1 + 5X2 = 14

The values of X1 and X2, we'll calculate the determinants.

Let D be the determinant of the coefficient matrix:

D = |J2 -1 0| = J2(-1) - 3(3) = -J2 - 9

D1 is the determinant obtained by replacing the first column of the coefficient matrix with the constants:

D1 = |0 -1 0| = 0(-1) - (-7)(3) = 21

D2 is the determinant obtained by replacing the second column of the coefficient matrix with the constants:

D2 = |J2 0 0| = J2(0) - 3(4) = -12

Now, we can calculate the values of X1 and X2 using the determinants:

X1 = D1 / D = 21 / (-J2 - 9)

X2 = D2 / D = -12 / (-J2 - 9)

Therefore, the solutions to the system of equations are:

X1 = 21 / (-J2 - 9)

X2 = -12 / (-J2 - 9)

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The box part of the box plot contains all the values between whích numbers?

25

30

35

40

45

50

between 27 and 36 and between 37 and 40

between 32 and 36

between 32 and 37

between 27 and 32 and between 37 and 40

Answers

Answer:

between 32 and 37

Step-by-step explanation:

that's my answer

Other Questions
The graph for a linear regression crosses the y axis in negative values. Where would the y-intercept of the regression line be located on the y-axis?a) Above 0b) Below 0c) To the right of 0d) To the left of 0 Which of the following statement is true for a 0.10 M solution of a weak acid HA at 25C?A. pH of solution = 1.00B. [HA] >> [A ]C. [HA] = [A ]D. [HA] = [H+ ]E. [A ] >> [OH ] A horizontal demand curve represents: a. Perfectly inelastic demand .b. Perfectly elastic demand. c. Unit elastic demand d. None of the above Suppose that a binary message-either 0 or 1-must be transmitted by wire from location A to location B. However, the data sent over the wire are subject to a channel noise disturbance, so, to reduce the possibility of error, the value 2 is sent over the wire when the message is 1 and the value -2 is sent when the message is 0. If x, x = +2, is the value sent to location A, then R, the value received at location B, is given by R=x+N, where N is the channel noise disturbance. When the message is received at location B, the receiver decodes it according to the following rule: IfR>.5, then 1 is concludedIfR Find the mean for this list of numbers 75 41 49 78 31 26 79 1 89 95 94 3 4 33 88 Mean = = Find the mode for this list of numbers 51 15 25 46 76 13 99 34 87 15 54 5 94 7 38 Mode = Use the Laplace transform to solve the given equation. y" - 2y' + y = et, y(0) = 0, y'(0) = 7 y(t) = et - ecos (t) + 10esin t how was technology seen as the solution to urban problems apush simple random sample of size n-35 is obtained. Complete parts a through e below. B Click here to view the t-Distribution Area in Right Tail (a) Does the population have to be normaly distributed totest this hypothesis? Why? OA. Yes, because n230. O B. No, because n2 30 C. Yes, because the sample is random. D. No, because the test is two-tailed. (b) If x 101.9 and s 5.7, compute the test statistic. The test statistic is to(Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. . . Let f(2)=zsin 2. Calculate: (a) Sc.1] f(2)dz (b) Sc0.12f (2) dz (c) Sc0.1] 22 f(2)dz Consider the case with 4 regional warehouses with nonrandom demand. Compute the reorder point for one of the warehouses when the lead time L is 5 weeks. b) Consider now the case with one centralized warehouse with nonrandom demand. Compute the reorder point when the lead time L is 7.5 weeks. Dear Allen, I don't know where to start. This warehouse program has really torn us apart. We thought that when branch warehouses were added, we would just split the stock we had among the warehouses. Instead, we've had to build up inventory substantially. I also don't see why this would be. Demand at each of the four branches is about the same (5,000 drives per week) the standard deviation in this demand is also about equal (1,500 drives per week). One possibility is that we could try to reduce our ordering costs. Each warehouse incurs a set cost of $20,000 every time it places an order for stock replenishment. That is $15,000 for our full time employees to reset the machine to produce our ElSi drive and a $5,000 extra charge for the temporary staff that do the clean-room change-over work. This was the same cost that we had for the factory warehouse, but perhaps the factory could reduce the cost somehow. Alternatively, we could try to coordinate orders across the different warehouses to save on set up costs. Another thing we might do is to change how we handle transfer charges between the warehouse and our production facility. As it is now, our transfer charge is $250 for each unit. $200 represents the direct production and transportation costs. $50 represents our share of the overhead for developing the new 40 GB drive. Maybe we could reduce the transfer charge of the drive to include only the production cost. Additionally, I would like to change our payment policy. Presently, we transfer money to the production facility on delivery of these drives. This causes needless complexity. Why can't we transfer money in a lump sum each quarter? Finally, we are also charged a corporate fee of $5,000 per month for the rent of our warehouses. This may not seem like a lot but we have a lot of investment opportunities here, and our cost of money is nearly 20%. Transportation costs are another issue. Frank, our traffic manager, has suggested that we switch to ground transport from air transport. This would increase our transportation time to three weeks rather than two, but he says we could save $10 in transportation costs per unit. To conclude, we understand your concern about the current system. We are considering some alternatives. I heard that you have hired a consultant to look at these problems. I'd appreciate any help he or she can give me.Previous questionNext quest Peter will receive R100000 from his employer as his pension fund in five years time at an interest rate of 6% per annum and he wishes to find the present value (PV) of this lump sum. A. R63998,75 O B. R67436,98 OC. R67738,42 OD.R74738,42 In order, the three-step process of using a file in a C++ program involvesa. (1) insert a disk, (2) open a file, and (3) remove the diskb. (1) create the file contents. (2) close the file, and (3) name the filec. (1) open the file, (2) read/write/save data, and (3) close the filed. (1) name the file. (2) open the file, and (3) delete the file . A rancher wants to fence in a rectangular area adjacent to a river. There are 100 feet of fencing available. You want to maximize the area of the enclosed area. (See figure to the right) x X A. (2 pts) What is the objective equation? River (No Fence) B. (2 pts) What is the constraint equation? C. (8 pts) Find the maximum area that can be enclosed. Label all answers with the correct units. wendy is studying the feeling of intense desire that is accompanied by physiological arousal. which of sternbergs theory of triangular love components is wendy studying? Choose the correct statement A. Labour hours are not all equally productive B. The aggregate production function is the relationship that tells us how real GOP changes as the real wage rate changes, when all other infuences on production remain the same C. An increase in the quantity of labour and a corresponding decrease in leisure hours shifts the production function upward D. An increase in the quantity of labour and a corresponding decrease in leisure hours will have no effect on real GDP The regession model output of an autoregressive (AR2) model are shown below: Constant Coefficients 0.006503139 1.089593514 -0.09525277 Lag 1 Lag 2 Assume Lag 1 and Lag 2 are 1.0920 and 1.0910, respectively. The predicted value of the y-variable is closest to 1.0895 .0065 1.08927 O 1.09242 QUESTION 28 In a simple exponential smoothing (SES) model, the parameter a or Alpha is called the smoothing or decay factor. An Alpha of 0.95 means that more recent observations in a time series are given more weight than earlier observations. True O False Coronado Industries Equipment has actual sales of $800000 and a break-even point of $560000. How much is its margin of safety ratio? A. 43% B. 30% C. 70% D. 57% what is the equation of a line that is parallel to y=35x7 and passes through (15, 8)? enter your answer in the box. "Solve the initial value problems: (ye^xy - 1/y)dx + (xe^xy + x/y)dy = 0, y(1) = 1; (x + 2) siny + (x cos y)y' = 0, y(1) = /2." If X and Y are independent variables... prove that mx+y(t) = mx (t)my(t) use the fact that mx+y(t) = mx(t)my (t) to prove that Var (X+Y) = Var(X) + Var(Y) prove that mx-y(t) = mx (t)my (-t) use the fact that mx_y(t) = mx(t)my (-t) to prove that Var (X + Y) = Var(X) + Var(Y)