Phil Dunphy, a real estate agent, is considering whether he should list an unusual $451,299 house for sale. If he lists it, he will need to spend $3,925 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $20,283. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 37%. What is the expected profit on this listing.

Answers

Answer 1

Answer:

The expected profit on the listing is $5031.96

Step-by-step explanation:

Given that:

The probability of selling the house in 6 months is p = 0.37

The probability of not selling the house = 1 - 0.37 = 0.63

Suppose Y represents the profit on the listing,

Then: the expected profit on the listing can be computed as:

E(X) = ($20283* 0.37) - ($3925*0.63)

E(X) = $7504.71 - $2472.75

E(X) = $5031.96

Thus, the expected profit on the listing is $5031.96

Answer 2

The expected profit on the listing is $5031.96.

Calculation of the expected profit:

Since

The probability of selling the house in 6 months is p = 0.37

The probability of not selling the house = 1 - 0.37 = 0.63

here Y means the profit on the listing,

So, the expected profit is

E(X) = ($20283* 0.37) - ($3925*0.63)

E(X) = $7504.71 - $2472.75

E(X) = $5031.96

Thus, the expected profit on the listing is $5031.96.

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Related Questions

1) 8h – 21 = 7(6 – 4)

Answers

Answer:

35/8 or 4.375

Step-by-step explanation:

Distribute the 7

[tex]8h-21=42-28[/tex]

Combine like terms on the right

[tex]8h-21=14[/tex]

Add 21 to both sides

[tex]8h=35[/tex]

Divide both sides by 8

[tex]h=\frac{35}{8} =4.375[/tex]

5/2 divided by 5/7 this is dividing fractions

Answers

Answer:

7/2

Step-by-step explanation:

you multiply 5/2×7/5 to divide fractions

Final Answer:

7/2

Step-by-step explanation:

5/2 ÷ 5/7

5/2 ÷ 7/55/2 × 7/5 = 35/10

35/10 ⇒ 7/2

PLEASE HELP WILL MARK BRAINLEST IF RIGHT***** Write the contrapositive of the given statement: If m∠B=90°, then ∠B is a right angle. *

Answers

9514 1404 393

Answer:

  if ∠B is not a right angle, then m∠B ≠ 90°.

Step-by-step explanation:

The contrapositive of ...

  If P, then Q.

is ...

  If not Q, then not P.

__

Here, we have ...

  P = m∠B = 90°   ⇒   not P = m∠B ≠ 90°

  Q = ∠B is a right angle   ⇒   not Q = ∠B is not a right angle

Then the contrapositive is ...

  If ∠B is not a right angle, then m∠B ≠ 90°.

Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should Anthony spend on each job if he wants to earn at least $125 each week?

Select a system of inequalities to represent the situation. Let x represent hours of tutoring and y represent hours of babysitting.

A)
x+y≤14; 10x+15y≥125.
B)
x+y≤14; 15x+10y≥125.

C)
x+y≥14; 15x+10y≥125.

D)
x+y≤125; 15x+10y≥14.

Answers

Answer:

Step-by-step explanation:

C

The system of inequalities representing the given situation is x + y ≥ 14; 15x + 10y ≥ 125. which is the correct answer would be an option (C)

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the number of hours should he spend on each job if he wants to earn at least $125 each week.

Let the hours of tutoring would be x

And y the hours of babysitting would be y

Given that He can work no more than 14 hours a week.

So inequality as per the above situation is: x + y ≥ 14

Since he charges $15 an hour for tutoring and $10 an hour for babysitting.

If he wants to earn at least $125 each week.

So inequality as per the above situation is: 15x + 10y ≥ 125

Therefore, the correct answer would be option (C).

Learn more about inequalities here:

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#SPJ2

Shauna is going fishing. She records how many worms she has left at the start of each hour in the table below. Write a linear function
rule for the data.
0
1
3
4
2
5
у
9
7
3
1
O FIX) - - 2x + 9
O f(x) = -2x - 6
Of(x) - 2x - 6
O f(x) = 2x + 9

Answers

Answer:

[tex]f(x)= -2x + 9[/tex]

Step-by-step explanation:

The table is not properly formatted:

We have:

x ------- y

0 ------- 9

1 ------- 7

2 ------- 5

3 ------- 3

4 ------- 1

Required

Determine the linear equation

Since, it is a linear equation.

We need to first determine the slope.

Take any to corresponding values of x and y

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (4,1)[/tex]

Slope is then calculated as thus:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{9 - 1}{0 - 4}[/tex]

[tex]m = \frac{8}{- 4}[/tex]

[tex]m = -2[/tex]

The linear equation is then calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 9 = -2(x - 0)[/tex]

[tex]y - 9 = -2x[/tex]

Add 9 to both sides

[tex]y - 9 + 9= -2x + 9[/tex]

[tex]y = -2x + 9[/tex]

[tex]f(x)= -2x + 9[/tex]

If a • b = 0, and a ≠ 0, then b = __

Answers

Answer:

it can be 0 or any number

Step-by-step explanation:

anything x 0 is 0

What is
7x - 4 = 21 ?

Answers


7x= 21+4
7x=25
X= 25/7

Answer: x=4.2

Step-by-step explanation:add 4 to both side .you have 7x=25.Now divide which gives u 4.2 .

A line has a slope of 1 over 4 and passes through the point 0.2 4 over 5 find the value of b , the y intercept

Answers

Answer:

it equals 7

Step-by-step explanation:

I’ll mark u BRILLANT pls hurry A factory produces 450 cans of tomatoes every half hour.
What would the slope of the line in a graph of this situation represent?
A. 450 cans per minute
B. 30 cans per hour
C. 15 cans per minute
D. 15 cans every 30 minutes

Answers

It would be c. 15 cans per minute

•••••••••••••••••••••••••••••••

Answers

Answer:

this is the answer

URGET! ASAP! WILL GIVE BRAINLIST! Complete the description of the piecewise function graphed below

Answers

Answer:

f(x)= { 3 if -5<x<=-1

Step-by-step explanation:

I followed the exact pattern the domains below were exemplifying. I really hope this helps, have a good rest of your day/ night :)

Factorisation of 6,8​

Answers

Answer:

Factor of 6 = 1, 2, 3 and 6. Factor of 8 = 1, 2, 4 and 8.

plz mark brainliest

Use the graph shown to fill in the blank.


When x = -3, then y =

Answers

Answer:  y = -6

==========================================================

Explanation:

Draw a vertical line through -3 on the x axis

This vertical line crosses the diagonal line at point P as shown in the diagram below.

Draw a horizontal line from point P to the y axis to get to y = -6

This shows that (x,y) = (-3,-6) is a point on the diagonal line.

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and negative 3, 1. Line g of x passes through points negative 4, 0 and negative 3, negative 3.

3
one third
negative one third
−3

Answers

Answer:

The Answer is d -3

Answer:

The Answer Would Be D. -3

i need some help. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received?

Answers

The answer is letter b

B: S x 12 = 96

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!

Answers

Answer:

Step-by-step explanation:

If the area of a square is 33 square inches, which is greater: the length of a side of the of a side of the square to the nearest tenth of an inch or the square root of 40?

Answers

Answer:

square root of 40  is greater than side of the square

Step-by-step explanation:

First we find square root of 40

[tex]\sqrt{40} = 6.325[/tex]

Now

given

area of a square is 33 square inches

we know area of square is side square

area of square  = [tex]side^2[/tex]

[tex]side^2 = 33\\\sqrt{side^2} = \sqrt{33}\\side = 5.745[/tex]

Thus, we see length side of square is 5.7 inches

and square root of 40 is 6.325

since

6.325 > 5.7

hence square root of 40  is greater

Answer:

40

Step-by-step explanation:

use a common denominator to find -1¼+(-⅜).​

Answers

Answer:

[tex] - 1\frac{5}{8} [/tex]

Step-by-step explanation:

[tex] = - 1 \frac{1}{4} + ( - \frac{3}{8} )[/tex]

[tex] = - \frac{5}{4} + ( - \frac{3}{8} )[/tex]

[tex] = \frac{ - 10 + ( - 3)}{8} [/tex]

[tex] = - \frac{13}{8} [/tex]

[tex] = - 1 \frac{5}{8} [/tex]

Detail :

________________________________________

https://brainly.com/question/18516825

Please help brainiest is award!

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is Choice D because if you find the y-intercept, it turns out to be 6. So if you solve for y in choice D you will get that the equation is y=x+6.

It has all the information that was given to us. It has a slope of one and when you find the y-intercept you will see that it also has the y-intercept as 6.

y=x+6. First you put (-5,1) and slope of 1 in point slope form, which is y-y1=m(x-x1). So you plug in the numbers and get y-1=1(x+5). Also it’s plus 5 because it would’ve been minus negative 5 so they cancel each other out and become plus 5. Then you use distributive property to solve 1(x+5). Now your equation should look like this y-1=x+5. Now you add one to each sign because you do the opposite function. And you end up with y=x+5. I hope this helps!

What is (1+1)x2. New friends? Ig: onlywne._shayyy sc: onlywne.shayyy This is me for ppl that havent seen

Answers

Answer:

4

Step-by-step explanation:

math is my explanation

Answer:

4

Step-by-step explanation:

I think that this right

(4r 2 −3r+2)−(−r 2 −3r)

Answers

I think this is the answer because I don’t know if the 2s after the r are exponents 5r^2+2

Tavon has a gift card for 115 that loses 2.50 for each​ 30-day period it is not used. He has another gift card for 95 that loses 2 for each​ 30-day period it is not used. a. Write and solve an equation for the number of​ 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal​ value?

If x is the number of​ 30-day periods, then the equation _____
nothing can be used to find the number of​ 30-day periods until the values of the gift cards will be equal

Answers

Answer:

a) Equation: 115 - 2.5x = 95 - 2x

ii) x = 40

b) The value of each gift card for which they'll be equal = 15

Step-by-step explanation:

a) Equation for the number of 30 days until the value of the gift cards are equal:

card 1: gift card for 115 that loses 2.50 for each​ 30-day period

115 - 2.5x - - - - (1)

card 2: gift card for 95 that loses 2 for each​ 30-day period

95 - 2x - - - - - - (2)

equation for the number of 30 day period (x) for which the amount on card 1 is eqaul to the amount on card 2 is given by:

115 - 2.5x = 95 - 2x

making x the subject of the formula:

115 - 95 = -2x + 2.5x

20 = 0.5x - - - - (i)

x = 20 ÷ 0.5

x = 40

b) the value on the gift card

From expression 1 above; 115 - 2.5x

where x = 40

115 - 2.5x = 115 - 2.5(40)

= 115 - 100 = 15

from expression (2); 95 - 2x

95 - 2(40) = 95 - 80 = 15

∴ The value of each gift card for which they'll be equal = 15

jeremy can row 2/3 of a mile in 1/4 of an hour. what is the unit rate that describes miles per hour?

Answers

Answer:

2.66 miles per hour

Step-by-step explanation:

In order to find the unit rate, you have to divide the two units.

2/3 / 1/4 =

2/3 * 4 = 8/3 or 2.66 mph

Which of the scatter plots below shows the most accurate line of best fit?


W.
X.

Y.
Z.
A.
X
B.
W
C.
Y
D.
Z

Answers

Answer:

W

Step-by-step explanation:

[tex]hii[/tex]

have a nice day ✌️✌️

hope this helps you ✌️✌️✌️

how to do this? Angles ?

Answers

It’s already labeled..

Multiply, or add the numbers labeled on them. It’s really not about the angles

Sorry I didn’t really give you an answer but I hope this helped!

If an area can be washed at a rate of 3,600 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)

Answers

Answer:

276923 square inches

Step-by-step explanation:

I probably got it wrong to be honest

Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws. Each person shoots for an equal amount of time, while the other person rebounds the ball. How long does each person shoot free throws? Write your answer as a proper fraction or mixed number.

Answers

Answer:

22¹/₂ minutes

Step-by-step explanation:

If Trent and Vivian go to the basketball court at the park for 45 minutes after school to practice shooting free throws, the total time it takes for the both of them to shoot free throws is 45 minutes.

Let the amount of time Trent and Vivian shoot the free throws be t₁ and t₂ respectively.

Since they both throw at equal times, t₁ = t₂ = t.

Now t₁ + t₂ = 45 the total time it takes to shoot the free throws.

Since, t₁ = t₂ = t.

t₁ + t₂ = 45

substituting t into the equation, we have

t + t = 45

adding the t's, we have

2t = 45

dividing both sides by 2, we have

t = 45/2

t = 22¹/₂ minutes

So, it takes each person 22¹/₂ minutes to shoot free throws.

Answer:

22 1/2 minutes

Step-by-step explanation:

45 divided by two =22 1/2

Hope this helps :)

Examine the equation. − 1 3 ( 2 3 x + 5 ) = − 4 3 ( 1 2 x − 8 ) Which equation correctly uses the distributive property and properties of equality to isolate the variable term? Negative StartFraction 2 Over 9 EndFractionx -Five-thirds= -Two-thirdsx + StartFraction 32 Over 3 EndFraction -StartFraction 4 Over 9 EndFractionx =StartFraction 27 Over 3 EndFraction Negative StartFraction 2 Over 9 EndFractionx + Two-thirdsx - StartFraction 37 Over 3 EndFraction = 0 StartFraction 4 Over 9 EndFractionx =StartFraction 37 Over 3 EndFraction

Answers

Answer:

It is D.4/9x=37/3

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

edge2020

Grade 8 Pre-Algebra A
Identliying Lines with a slope of Zero
ty
Which line has no slope?
а
c
O Line a
d
Line b
b
O Line c
O Line d

Answers

Answer:

line b

Step-by-step explanation:

any horizontal line has a slope of 0

a vertical line's slope is undefined

hope this helps!! <3

Please help, this is due today!!

Answers

Answer:

it can go 100×

Step-by-step explanation:

Biden 2020 And Foreva

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