Jean is x years old and her younger brother Johnathan is y years old. What is the sum of their ages 5 years ago

Answers

Answer 1

The sum of their ages 5 years ago is x + y -10.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Given that, Jean is x years old and her younger brother is y years old.

Age of Jean 5 years ago is:

x - 5

The age of Johnathan 5 years ago is:

y - 5

The sum of their ages 5 years ago is:

x - 5 + y - 5

= x + y -10

Hence, the sum of their ages 5 years ago is x + y -10.

To learn more about subtraction, click here:

https://brainly.com/question/2346316

#SPJ1


Related Questions

5а – 2 = 8
6
a = [?]

Answers

Answer:

5a=8+2

5a=10/:5

a=2

it is okay?

Multiply the following 2 polynomials

(9 + 2x)(9 - 2x)

Answers

Start by multiplying
9x9=81
2x2=4
Answer 81-4x^2

A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below. How many possible dinner special combinations are there?
Starter: breadsticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork

Answers

The total number of possible dinner combinations are 15

What are Combinations?

The number of ways of selecting r objects from n unlike objects is calculated by combination. The formula for combination is

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of dinner combinations be = T

Now ,

The values of Starters is represented in set = A

The values of Entree is represented in set = B

The values of Set A = { bread sticks , soup , salad }

The values of Set B = { beef , fish , chicken , shrimp , pork }

Now , the total combinations of possible selection of Starters = ³C₁

The total combinations of possible selection of Entree = ⁵C₁

So , the total number of dinner combinations T = total combinations of possible selection of Starters x total combinations of selection of Entree

And , the equation is

The total number of dinner combinations T = ³C₁ x  ⁵C₁

The total number of dinner combinations T = 3 x 5

The total number of dinner combinations T = 15

Therefore , the value of T is 15

Hence , The total number of possible dinner combinations are 15

To learn more about combinations click :

https://brainly.com/question/28065038

#SPJ1

PLEASE HELP ME WITH THIS PROBLEM!!!!!!

Answers

Answer:

720

Step-by-step explanation:

100/5 = 20, so 20 tires made in 1 hour and 20 x 36 would be 720 so answer is 720

Can someone help me figure this out, i’ve been stuck on this question for an hour.

Answers

According to the given statement the function representing the points relation is f(x) = 32(3x - 1)

What are the different kinds of functions?

An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.

Briefing:

Depicts a few points within the graph of the linear function f given a table.

x = -2, 1, 5, 10

f(x) = -224, 64, 448, 928

From option first,

f(x) = 32(3x - 1)

Put x = -2

= 32(-2x3-1)

= 32x(-7) = -224

Consequently, f(x) = 32 is the function used to express the points connection (3x - 1)

To know more about Function visit:

https://brainly.com/question/5975436

#SPJ1

(7x³ + x² + x) divided by (x² + 1)

Answers

Answer:

Q=7x+1, R=-6x-1

Step-by-step explanation:

 7x + 1

 ----‐----------------------------

 x² + 1 | 7x^3 + x^2 + x

 -) 7x^3 +7x

---‐---‐----------------------------

 x^2 -6x

 -) x^2 +1

 --------------------

 -6x-1

please help solve! cannot find answer and i’m trying to work on math

Answers

Answer: 19/21>8/9

Step-by-step explanation:

common denominator is 63

19*3=57 so thats 57/63

8*7=56 so thats 56/63

Where does the graph of y = -3x - 18 intersect with the x axis?

Answers

It crosses at x = -6.
-18 is your y intercept so you mark -18 at y.
-3x/1 is your slope, so you go left 3 cubes, up 1 cube until you cross the x axis.

please answer this question

Answers

The correct equation is Option A which states that x+16 = 70. The reason for this is opposite angles (or vertical angles) in parallel lines are congruent.

What are opposite angles?

When two lines intersect they form a pair of opposite or vertical angles. In this case, the vertical angles are:

70° ≅  t

p ≅ s

q ≅ (x +16)°

r ≅ u

Given that lines AB and CD are parallel, and that both cut through lines EF, that means q ≅ 70°

Hence,

∡ ApE = 70° = ∡DrF

If we need to find x

Since DrF (x+16) °= 70°

x = 54°

Learn more about opposite angles:
https://brainly.com/question/2687431
#SPJ1

3. Select all that apply. Which of the following are equal to 600?
A. 400 increased by 50%
B. 500 increased by 25%
C. 300 increased by 75%
D. 800 decreased by 25%

Answers

The answer's are A and D!

Let me know if I'm right please!

find the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector . the larger eigenvalue has associated unit eigenvector .

Answers

The eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector is Ax = λx.

Symmetric matrix:

In algebra, symmetric matrix a square matrix that remains unaltered when its transpose is calculated.

Given,

Here we need to find the the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector and the larger eigenvalue has associated unit eigenvector.

Here the eigenvector is a vector that is associated with a set of linear equations.

And in the eigenvector of a matrix is also known as a latent vector, proper vector, or characteristic vector.

Therefore, those are defined in the reference of a square matrix.

So, the smaller eigenvalue has associated unit eigenvector is Ax is λx.

To know more about Symmetric matrix here.

https://brainly.com/question/28535559

#SPJ4

what are all of the equivalent ratios to 4.5

Answers

Answer:

The two equivalent ratios of 4:5 are 8:10 and 12:15.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

8 : 10 and 12 : 15.

Is -2/3 greater then 1 2/4

Answers

Answer: No

Step-by-step explanation:

Because 1 2/4 = 6/4 = 3/2 or 1.5

When the other one is a negative fraction which is very obviously that 1 2/4 is greater than -2/3

Answer: 1 2/4 is greater than -2/3

Step-by-step explanation: A positive number is always greater than a negative number, even when dealing with fractions

the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) estimate how long it takes the population to double.

Answers

As the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year and according to that it will take 63.36 years to double the population.

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

According to the question:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t) = [tex](1.011)^{t}[/tex]

⇒ [tex]7.1[/tex] × [tex]2 = 7.1 (1.011^{t}[/tex]

⇒ [tex]\frac{7.1 * 2}{7.1} = 1.011^{t}[/tex]

⇒ [tex]1.011^{t}[/tex] = 2

Now let us solve for t using logarithm.

[tex]ln(2) = ln(1.011)^{t}[/tex]

⇒ ln(2) = t . ln(1.011)

⇒ 0.6931471805599 = t × 0.0109399400383

⇒ t = 0.0109399400383/ 0.6931471805599

⇒ t = 63.3593217

⇒ t ≈ 63.36

Therefore, it will take 63.36 years the population to be double.

Learn more about Growth Rate:

https://brainly.com/question/12490064

#SPJ4

Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.



[Linear pair ] [ vertical ] [ adjacent ] [none of these ]

Answers

Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

What are Adjacent Angles?

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

What are Vertical Angles?

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

Learn more about adjacent and vertical angles on:

https://brainly.com/question/14355129

#SPJ1

Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

9^2/9^-4 using a single positive exponent

Answers

Answer:

9⁶

Step-by-step explanation:

[tex]\dfrac{9^2}{9^{-4}} = 9^2 9^{4} = 9 ^ {(2 + 4)} = 9^6[/tex]

Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent

So
[tex]\dfrac{1}{9^{-4}} \text{ becomes } 9^4[/tex]

Fifteen percent of cellphone users use their cell phones to access the Internet. In a random sample of 10 cell phone users, what is the probability that:

Exactly 2 have used their phones to access the Internet?

More than 2 have used their phones to access the Internet?

At least 8 have used their phones to access the Internet?

No more than 5 have used their phones to access the Internet?

Between 1 and 3 people, exclusive, have used their phones to access the Internet?

Answers

1) Probability that Exactly 2 have used their phones to access the Internet is; P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is; P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is; P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is; P(X ≤ 5) = 0.99862

How to solve binomial probability distribution?

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

P(X = x) = binomial probability

x = number of times for a specific outcome within n trials

nCx = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

1) We are given;

p = 15% = 0.15

n = 10

Thus;

P(X = 2) = 10C2 * 0.15^(2) * (1 - 0.15)^(10 - 2)

P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is;

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is;

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is;

P(X ≤ 5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = 0.99862

Read more about binomial probability distribution at; https://brainly.com/question/15278907

#SPJ1

Consider the equation xy = 0 In this equation, variables are multiplied and the result is Can the equation be true neither variable is equal to ? Can the equation be true only one variable is equal to 0If so, which one needs to be equal to Can the equation be true if both variables are equal to ? What process could you use to solve equations of the form (x + a)(x + b) = 0 In this case there are only two factors (values being multiplied ) that are being set equal to How would you solve the equation if there were more than two factors ? Explain

Answers

Answer: 1+1

Step-by-step explanation:

I not giving

catalina multiplied 842 and 3 and got 3326.how did she check to see if her answer is reasonable?

Answers

Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

If you can please give me a Brainliest, I only need 2 more to become an Ace, thank you!

Answer:

3326 ÷ 3 = 1108.666667

Step-by-step explanation:Question: 842 x 3 = 3326?

Check:

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defectives ones are identified. Denote by N1the number o tsis mad un the first defectiv is identified and by N2 ihe number of additional tests until the second defective is identified. Find the joint probability mass function of N1 and N

Answers

The joint probability mass function of N1 and N2 for the given transistors is 1/15.

Explain the term selection without replacement?The total number of things available for the initial selection is one extra than the number of units available for such second option when items are chosen without replacement. Due to the fact that one object has been chosen and not returned to the pool.

For the stated question-

Six transistors total.2 transistors are faulty in total.Four non-defective transistors are present.

N1: The number of tests conducted before the first flaw is found = 2/6.

N2: The number of tests that must be performed before the second problem is found = 1/5.

If N1 = 1 and N2 = 1, then

P(N1 = 1; N2 = 1) = 2/6 x 1/5

P(N1 = 1; N2 = 1) = 2/30

P(N1 = 1; N2 = 1) = 1/15

Thus, joint probability mass function of N1 and N2 for the given transistors is 1/15.

To know more about the Selection Without Replacement, here

https://brainly.com/question/8227419

#SPJ4

Using your answer from the previous question, state the value of ‘w’ if the perimeter of the rectangle is equal to 37 feet and the length is equal to 4 feet.

Answers

Answer:

16.5

Step-by-step explanation:

hence the answer is 16.5 feet

HELP ME PLEASE!!! it’s for algebra and i really need to get this awnser right!! please literally anyone help me

Answers

Answer:

Below

Step-by-step explanation:

Start with point (3,5) slope (5/3) form:

(y-5) = 5/3 (x-3)        expand

y-5 = 5/3 x -5          re-arrange by adding 5 to both sides

y = 5/3 x                    done!

Which of the equations is NOT equivalent to 6x = 20? Select all that apply. 6x ÷ 6 = 20 ÷ 6 6x ÷ 6 = 20 ÷ 20 6x + 5 = 20 + 5 6x − 1 = 20 − 1 6x × 6 = 20 × 20

Answers

These three expressions

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

What is Expression ?

Operators, constants, and variables all come together to form an expression. A value can be produced by an expression using one or more operands and zero or more operators.

We have to check which equation will be equal to 6x = 20

6x ÷ 6 = 20 ÷ 6

After Multiplying both sides by 6.

We get, 6x = 20

6x ÷ 6 = 20 ÷ 20

After simplifying we get,

x = 1

Multiplying both sides by 6

6x = 6, Hence it doesn't satisfy.

6x + 5 = 20 + 5

Subtract 5 both sides of the equation

We get, 6x = 20

6x − 1 = 20 − 1

Adding 1 both sides of the equation,

We get, 6x = 20

6x × 6 = 20 × 20

After simplifying, we get

36x = 400

Hence, only

6x ÷ 6 = 20 ÷ 6

6x + 5 = 20 + 5

6x − 1 = 20 − 1

will be equal to the given expression.

To learn more about Expression, visit:

https://brainly.com/question/14083225

#SPJ1

what is the coefficient of -2 and -3

Answers

Answer:

The coefficient of -2 and -3 is -6.

suppose a random variable has population standard deviation 29.5. what is the margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53?

Answers

The margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53 is 7.94.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation = 29.5

n = sample size = 53

At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.

(100 - 95) / 2 = 2.5

100 - 2.5 = 97.5

Find 0.975 in the z-table to get the value of z.

At p = 0.975, z = 1.96

Plug in the values to the formula and solve for the margin of error.

MOE = z x (SD / √n)

MOE = 1.96 x (29.5/√53)

MOE = 7.94

Learn more about margin of error here: brainly.com/question/10218601

#SPJ4

Need some help, explain.

Answers

Answer:

hope this will help you

ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ). using the empirical rule, about 99.7% of the scores lie between which two values?

Answers

Using the empirical rule, about 99.7% of the scores lie between 75 to 93

In this question, we have been given ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ).

We know that the empirical rule predicts that 99.7% within the first three standard deviations (µ ± 3σ).

An empirical rule is also known as 68-95-99.7 rule.

We find the interval (µ ± 3σ)

The upper value would be,

µ + 3σ

= 84 + 3(3)

= 84 + 9

= 93

and the lower value would be,

µ - 3σ

= 84 - 3(3)

= 84 - 9

= 75

Therefore, about 99.7% of the scores lie between (75, 93)

Learn more about 68-95-99.7 rule  here:

https://brainly.com/question/16012911

#SPJ4

I need HELP! I dont understand and need help!
algebra 2 please HELP

Answers

Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

Step-by-step explanation:

8 = ab^3

42 = ab^9

b = 1.32

[tex]\frac{8}{(1.32)^{3} } =\frac{a(1.32)^{3} }{(1.32)^{3} }[/tex]

a = 3.48

Answer:

[tex]y = 3.48(1.32)^{x}[/tex]

# 3 Mia has $50 on a gift card to her favorite
coffee shop. Each time she visits the coffee
shop she spends $3.75 on her favorite drink.
Write an equation to represent the relationship
between n, the number of times she visits the
coffee shop, and b, the total balance on her
gift card.
+

Answers

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card is b = - 3.75n + 50

How to represent a situation with equation?

Mia has $50 on a gift card to her favourite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favourite drink.

The equation to represent the relationship between n, the number of times she visits the coffee shop, and b, the total balance on her gift card can be represented as follows:

Therefore,

n = number of times she visit the coffee shopb = total balance on her gift card

Hence, the equation is as follows;

b = - 3.75n + 50

learn more on equation here: https://brainly.com/question/19226564

#SPJ1

While playing a game with her friends, Ellen scores 12 points less than twice the lowest score. She scored 98. What was the lowest score in the game?

Answers

if she scores 98 and the lowest is 12 down the lowest is 86
Other Questions
A truck is traveling at 25 m/s on a slippery road. The driver slams on the brakes and the truck starts to skid. If the coefficient of kinetic friction between the tires and the road is 0. 20, how far will the truck skid before stopping?. The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0 x 108 m/s. Astronomers have determinedthat the solar system is orbiting the center of the galaxy at a speed of 230 km/s.a. Assuming the orbit is circular, what is the period of the solarsystems orbit? Give your answer in years.b. Our solar system was formed roughly 5 billion years ago. How many orbits has it completed?c. The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center?d. Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy? PLEASE HELP ASAP!!!! You are planning a cookout and figure that you will need at least 3 packages of hot dogs and hamburgers. A package of hot dogs, x, costs $4 and a package of hamburgers, y, costs $5. You can spend a maximum of $20 on hot dogs and hamburgers.a. Write a system of linear inequalities for the number of packages of each that can be bought. Question 6 of 10Imagine you're taking notes for Cecil Sharp as he travels through Appalachiain 1916. Which of the following do you think you are most likely to find?A. A professional singer singing a Stephen Foster songB. A string quartetC. A singer singing without any instrumental accompanimentD. A bluegrass bandSUBMIT during history-taking, the nurse discovers that a client takes megadoses of vitamin a. how would the nurse interpret this finding? when 3-year-old dre is in the grocery store with his mother he sometimes throws temper tantrums if she refuses his requests for a particular cereal. parent-training experts would suggest that his mother should: True or false: When subject to homogeneous Dirichlet boundary conditions on an in- terval [a,b], every nonsingular second-order linear ordinary differential equation a(x)u" + 6(x) u' + c(u) u = f(x) is (a) self-adjoint, (b) positive definite, (c) positive semi- (x ( definite, with respect to some weighted inner product (9.76). The relationship between levels of military personnel and state revenues as shown in the table is best understood in the context of which of the following global developments in the period 14501750 ?answer choicesAs military forces expanded and became more professionalized, states were forced to develop new ways to generate revenue.As agricultural technology became more advanced, less people were needed to farm and more people were able to be enrolled in state militaries.As commercial profits and urbanization increased, states were able to obtain more revenue.As states expanded their territories, they were able to acquire access to more natural resources. he purpose of low beam headlights is to provide better visibility to a driver driving in fog, rain and smoke. a) true b) false Red and green, yellow and violet and blue and yellow-orange 1400 people signed up for a bike sharing program. This represents 8% of the people who live in Divyas town. 75% of the people who signed up for the program also own cars. A solenoidal coil with 30 turns of wire is wound tightly around another coil with 310 turns. The inner solenoid is 20.0 cm long and has a diameter of 2.50 cm. At a certain time, the current in the inner solenoid is 0.150 A and is increasing at a rate of 1700 A/s.Part A For this time, calculate the average magnetic flux through each turn of the inner solenoid.Part B For this time, calculate the mutual inductance of the two solenoids.Part C For this time, calculate the emf induced in the outer solenoid by the changing current in the inner solenoid. madison has a bag with 30 red marbles and 5 green marbles. she chooses one at random. what are the odds in favor of her selecting a red marble? (type answer in form a:b) 5:30 a portfolio has a 3-year standard deviation of 18.1%. what is the 1-year standard deviation? group of answer choices 8.69% 11.80% 10.45% 6.39% Which of the following statements about the events in Kansas-Nebraska is true?A. Border ruffians were antislavery and voted fraudulently, creating chaos in the Kansas territory.B. Because of its proximity to both free and slave states, Kansas experienced much more conflict than Nebraska.C. The Potawatomie Creek Massacre was John Browns attempt to fight slavery through a raid on a federal arsenal in Kansas.D. President Pierce was sympathetic to the Topeka government and supported it with federal troops. which of the following securities is (are) exempt under the securities act of 1933? i u.s. treasury bills ii general obligation bonds iii water authority bonds issued by the city of rochester, minnesota a i only b i and ii c ii and iii d i, ii, iii Any external force that acts against movement is called __________. A. Gravityb. Efficiencyc. Resistanced. Momentum. g florida international university pedestrian bridge collapse in which stage of the construction the bridge collapse (see figure)? if a competitive firm hires another full-time worker, total output will increase from 100 units to 110 units per week. suppose the market price of output is $25 per unit.what is the maximum weekly wage at which the firm would hire that additional worker?