If I were to start with $50 and add $20 each week for 12 weeks, what is an equation that represents the relationship between the dollar amount and the number of weeks?

Answers

Answer 1

Answer:

This is a function y = mx + b:

You start with $50, so the y-intercept(b) is 50.Adding $20 a week means that the slope(m) is 20.

So, the function would be y = 20x + 50, where y is the dollar amount after x weeks and x cannot be greater than 12.


Related Questions

Solve for x in the equation x + 9 = −25. −34 −16 25 34 NEED HELP ASAAAAAAAPPPP

Answers

To find the answer, we use inverse operations:

-25 - 9 = x

x = -34

Let’s plug this in to verify:

-34 + 9 = -25

Therefore, our answer is correct. x = -34.

bju pre algebra homework, due tomorrow. (please dont do questions 1-6)

Answers

Answering right now! Might take a little bit, it’ll all go in the comments! Just don’t want someone else to answer and waste my time doing all the questions lol

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the rules of exponents to evaluate or simplify. Write without negative exponents.

(bm)⁻³

Answers

The expression can be written without negative exponents as 1/(bm)³

Simplification of Exponents

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴. Here, 4 is the exponent and 6 is the base.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a simpler form such that they cannot further be simplified. There are rules in algebra for simplifying exponents with different and same bases that we can use.

Steps to removing exponents are;

Step 1

remove parentheses by multiplying factors.

Step 2

use exponent rules to remove parentheses in terms with exponents.

Step 3

combine like terms by adding coefficients.

Step 4

combine the constants.

In this case, we have an expression;

(bm)⁻³ which can be rewritten using cube.

(bm)⁻³ = 1/ (bm)³

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=530(1.04)x

Answers

The given exponential function will grow at rate of 4%

Given, the following exponential function,

y = 530(1.04)ˣ

we are asked to  identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

we have:

y = 530(1.04)ˣ

The equation represents exponential growth because the growth factor is greater than 1.

The general form equation is:

y(x) = a(1-r)ˣ

⇒ 1+r = 1.04

⇒ r = 0.04

⇒ r = 4%

Hence the given exponential function will grow at 4%.

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use the median income 27 and 29 years old to write an equation in slope intercept from of the line of fit​

Answers

Answer: ?

Step-by-step explanation:

that's how you do it.

Please do the one you are able to do anything is helpful!

Answers

Answer:

9. train a = 8.33 hours

train b = 5 hours

time of coincidence = 3.33 hours

Step-by-step explanation:

I'm not sure about this but I think it's correct.

Please help me please

Answers

Answer:

16.53

Step-by-step explanation:

Start by finding the length of the line in the center. I will call this line a. Using the Pythagorean Theorem with 12.3 as the hypotenuse:

[tex]c^2=a^2+b^2\\a=\sqrt{c^2-b^2} \\a=\sqrt{12.3^2-5.4^2} \\a=\sqrt{122.13} \\a=11.05[/tex]

Now that this line is known, x can be found. Once again using the Pythagorean Theorem:

[tex]x^2=a^2+b^2\\x=\sqrt{a^2+b^2} \\x=\sqrt{12.3^2+11.05^2} \\x=\sqrt{273.39} \\x=16.53[/tex]

Aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have

Answers

The number of nickels is 25

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

The total number of nickels and quarters = 63

Total value = $10.75

20 nickels = 1 dollar

4 quarters = 1 dollar

Now,

1 nickel = $0.05

1 quarter = $0.25

Let the number of nickels = x

Let the number of quarters = y

We can make equations as,

0.05x + 0.25y = 10.75 _____(1)

x + y = 63 ______(2)

From (2) we get,

x = 63 - y

Putting in (1) we get,

0.05 (63 - y) + 0.25y = 10.75

3.15 - 0.05y + 0.25y = 10.75

3.15 + 0.20y = 10.75

0.20y = 10.75 - 3.15

0.20y = 7.6

y = 7.6/0.20

y = 38

Now,

x = 63 - y = 63 - 38 = 25

Thus,

The number of nickels is 25

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the eigenvectors of the covariance matrix show the direction in which the data has the highest correlation. true or false

Answers

It is true that the eigenvectors of the covariance matrix are equal to the principal components. Concretely, the first principal component (i.e. the largest eigenvector and associated largest eigenvalue) gives you the direction of the maximum variability in your data

The covariance matrix's eigenvectors are identical to its major components, which is a well-known fact. In more concrete terms, the direction of the most variability in your data is provided by the first principal component, which is represented by the largest eigenvector and related largest eigenvalue. After that, each primary component provides you decreasingly variable output. The fact that each primary component is orthogonal to the others is also important to note.

The above picture was taken from the Principal Component Analysis article on Wikipedia, which I previously referred to. This is a scatter plot of samples having a bivariate Gaussian distribution with a center at (1,3), a standard deviation of 3 roughly in the (0.878, 0.478) direction, and a standard deviation of 1 roughly in the orthogonal direction. The first principal component is the one with a standard deviation of 3, and the second is the orthogonal component. The shown vectors are the eigenvectors of the covariance matrix scaled by the relevant eigenvalue's square root and moved to place their tails at the mean.

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A helicopter hovers 60 m above the ocean's surface. A submarine is resting 30 m
underwater, directly below the helicopter. What is the difference between the positions of these two objects?

Answers

Answer:

90 m

Step-by-step explanation:

because the helicopter is 60 m up and the submarine is 30 m under so combining the two helps us identify the difference between the two objects

Can you remember why a perfectly competitive firm faces a perfectly elastic demand curve?.

Answers

Since they take prices rather than setting them, fully competitive enterprises must deal with a completely elastic demand curve.

What is competitive firm?

A perfectly competitive firm is a price taker, which means that it must accept the equilibrium price at which it sells goods. If a perfectly competitive firm attempts to charge even a tiny amount more than the market price, it will be unable to make any sales.

Since they take prices rather than setting them, fully competitive enterprises must deal with a completely elastic demand curve. They are so unable to alter the market selling price. In order to raise its income, a perfectly competitive firm will therefore increase output rather than pricing.

A totally competitive firm is unable to arbitrarily set its output price since it must accept the price set by the product's market demand and supply. As an alternative, the perfectly competitive firm can decide to sell any amount of output for the same price. Because customers are eager to purchase any quantity of the company's output at the market price, it follows that the firm must deal with a completely elastic demand curve for its product. The quantity that the perfectly competitive firm decides to produce, combined with the prices that are in effect on the market for inputs and outputs, will determine the firm's total revenue, total costs, and eventually the level of profits.

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decrease 150 by 55 %

Answers

Answer:

Step-by-step explanation:

First calculate 55% of 150:

= 150 x 55/100

= 82.5 ans

Now decrease it from 150:

= 150-82.5

= 67.5 ans Hope it helps!!

What is the measure of z? X 4 Z 9 z= [?]V Give your answer in simplest form.​

Answers

Answer:

3√13

Step-by-step explanation:

4 : y = y = 9

y^2 = 36

y = 6

z = [tex]\sqrt{9^2 + 6^2} = \sqrt{81 + 36} = \sqrt{117}[/tex]

117 = 3^2 * 13

[tex]\sqrt{117} = \sqrt{3^2 * 13} = 3\sqrt{13[/tex]

A _____________ t-test evaluates data from dependent samples in which the two treatments are applied to the same individual.

Answers

A Paired t-test evaluates data from dependent samples in which the two

treatments are applied to the same individual.

T-test is a statistical statistics mainly use when population variance is

unknown and sample size is small.

In Paired t-test , we compare means of two dependent samples. It gives

hypothesis examination on difference between of mean.

It uses same items or people in both sample that's why they are also known as dependent t-test or Paired t-test also increases the statistical power of our analysis.

Formula of paired t-test :

t = m / S / n

with (n-1) degree

where , m --> mean difference

S ---> standard deviation difference

n --> sample size

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Please help me I really need help

Answers

Answer:

No

Step-by-step explanation:

parallel is when 2 lines never touch and move in the same direction and these touch and move in different directions

Hopes this helps please mark brainliest

no because the word parallel in math means going on and on forever without crossing eachother. Hope this helps!

A rectangular-shaped object has a mass of 120 grams. It is 5cm long, 2cm wide, and 3cm high. Solve the following:
V-
Hint: Make sure to use your units in your answer!!!
D-
Blank 1:
Blank 2:

Answers

Answers:

V = 30 cubic cm

D = 4 grams per cubic cm

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

Explanation:

The volume of a rectangular solid (aka block or brick) is equal to its length times width times height

V = length*width*height

V = 5*2*3

V = 10*3

V = 30 cubic cm

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

You haven't mentioned it, but the "D" probably refers to the density. This is a measure how much stuff occupies a certain volume of space. The higher the density, the more stuff in that space. Think of it like cramming more packing peanuts in a box.

To find the density, we divide the mass over the volume

density = mass/volume

density = (120 grams)/(30 cubic cm)

density = 4 grams per cubic cm

In each cubic centimeter of space, there are 4 grams of mass.

Write the first 4 terms of the sequence defined by the given rule.
4. f(n) = n³-1

Answers

The first four terms of the sequence defined by the rule f(n) = n³-1 are -1, 0, 7 and 26.

According to the question,

We have the following expression:

f(n) = n³-1

Now, in order to find the first four values of the given expression, we will change the values of n from 0 to 3.

So, putting the value of n as 0, we have:

f(0) = 0³-1

0-1 = -1

Now, putting the value of n as 1, we have:

1³-1

1-1

0

Now, putting the value of n as 2, we have:

2³-1

8-1

7

Now, putting the value of n as 3, we have:

3³-1

27-1

26

Hence, the first four terms of the sequence defined by the rule f(n) = n³-1 are -1, 0, 7 and 26.

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I need help with this

Answers

f(x)-g(x)
= 2√m - 3√4m
= 2√m - 3*2√m
= 2√m - 6√m
= -4√m

Hope this helps

Yolanda got a prepaid debit card with$20 on it. For her firt purchae with the card, he bought ome bulk ribbon at a craft tore. The price of the ribbon wa 16 cent per yard. If after that purchae there wa $12.32 left on the card, how many yard of ribbon did Yolanda buy?

Answers

Answer:

Yolanda bought 48 yards of ribbon, and spent 7.68 cents on it.

Step-by-step explanation:

First Step: Find out how much Yolanda spent

20.00 -12.32 = 7.68

Second Step: Divide Total Cost by Price of one Yard

7.68/0.16 = 48

Third Step: Double Check

48 x 0.16 = 7.68

I hope my answer helped you, good luck on your homework!

Here is an equation: 4y - 6x = 12

Is (-4, -3) a solution? Is (0, 3) a solution?

Answers

If the equation is 4y - 6x = 12, then (-4, -3) and (0, 3) are the solutions of the equation

The equation is given that

4y - 6x = 12

The first solution =(-4, -3)

The value of x = -4

The value of y = -3

Substitute the values in the equation

4(-3) - 6(-4) = 12

-12 - (-24) = 12

-12 + 24 = 12

12 = 12

Therefore (-4, -3) is the solution of the equation

Next solution is (0, 3)

The value of x = 0

The value of y = 3

Substitute the values in the equation

4(3) - 6(0) = 12

12 - 0 = 12

12 = 12

Therefore (0, 3) is the solution of the equation

Hence, if the equation is 4y - 6x = 12, then (-4, -3) and (0, 3) are the solutions of the equation

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Given m/PSR = 134, find m/SQR.

Answers

The measure of the angle SQR is 68 degrees if m/PSR = 134 and Angle QPS = Angle PSQ  = Angle SQP = 60 degrees.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

m/PSR = 134,

PQ = QS = PS

Angle QPS = Angle PSQ  = Angle SQP = 60 degrees

Angle QSR = QRS

Angle SQR = 180 - (180 - 134)x2

= 180 - 112

= 68 degrees

Thus, the measure of the angle SQR is 68 degrees if m/PSR = 134 and Angle QPS = Angle PSQ  = Angle SQP = 60 degrees.

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A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?

Follow the steps to decide on the party location.

1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite. (2 points)















2. Write an expression for the amount you would spend on a birthday party at the skating rink. (2 points)















3. How many people could you invite to the bowling alley? Show how you found your answer. (2 points)















4. How many people could you invite to the skating rink? Show your work. (2 points)















5. To which location could you afford to invite more people? (2 points)

Answers

Answer:

I'll try my best B r u h ....

Step-by-step explanation:

Bowling:

15+5x  where x is the number of people

Skating:

20+3x

We have 50 dollars so the amount must be less than or equal to 50

Bowling

15+5x≤50

Subtract 15 from each side

15-15+5x≤50-15

5x ≤35

Divide each side by 5

5x/5 ≤35/5

x ≤7

She can have 7 or less people

Skating

We have 50 dollars so the amount must be less than or equal to 50

20+3x  ≤50

Subtract 20 from each side

20-20+3x  ≤50-20

3x  ≤30

Divide each side by 3

3x/3 ≤30/3

x ≤10

She can have up to 10 people

She can invite more people skating

Hope this helped.

999

pls help urgent!

Solve for the roots in simplest form using the quadratic formula:

x²-16x = -100

Answers

Answer:

x has no real solution/roots

Step-by-step explanation:

please see the attached image:

write the equation using function notation

x - y = -4

A) f(x) = x - 4
B) f(x) = x + 4
C) f(x) = -x + 4
D) f(x) = -x - 4

Answers

Answer:

B

Step-by-step explanation:

[tex]x-y=-4 \\ \\ x-f(x)=-4 \\ \\ f(x)-x=4 \\ \\ f(x)=x+4[/tex]

When testing the difference between two population means, the sample variances are pooled to estimate the population variance when ________________.

The population means are known
The population variances are assumed equal but unknown
The population variances are known and equal
The population variances are assumed unequal and unknown

Answers

When testing the difference between two population means, the sample variances are pooled to estimate the population variance when The population variances are assumed equal but unknown.

Population Mean:

The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

In testing for the differences between the means of two independent populations where the variances in each population are unknown but assumed equal, the degrees of freedom are: n1 + n2 - 2.

population variance:

Population variance is a measure of how spread out a group of data points is. Specifically, it quantifies the average squared deviation from the mean.

Therefore When testing the difference between two population means, the sample variances are pooled to estimate the population variance when The population variances are assumed equal but unknown.

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Find the sum.
10+30+50+...+(20n-10)

Answers

Answer:

10

Step-by-step explanation:

tbh i am confused

please if you see this, i am really trying my best and you guys gave me the hardest question i ever had. sincerely apologize

Araceli earns $85,000 per year. Now that she has paid off her credit card debt, she is ready to buy a house. Araceli has a $200 car payment, no student loans, $300 in car insurance every 6 months and she estimates that her monthly utility bills will be $250 in her new house. If her bank requires no more than a 36% debt to income ratio, what would her maximum monthly mortgage payment be?

Answers

Answer:

$2300

Step-by-step explanation:

1. Her yearly allowable debt

36% × 85000 = 30600

2. Her monthly allowable debt

30600/12 = 2550

3. Her monthly existing debt

car payment = 200

car insurance = 300/6 =50

monthly utility bill = na this is an estimation

4. allowable debt - existing debt

2550 -200-50= 2300

ps: i may be wrong

A shipment service provides uses three types of containers for shipping materials the height and width of the three container are the same the containers height is 0.15 m more than their width and volume of the smaller container is 652 m³

1) write a polynomial relating container 1 length, breadth and height with its volume?

Answers

The polynomial representing length, breadth and height of th e container is

Lw^2 + 0.15Lw - 652

How to find the polynomial relating the dimensions of the container

Volume is measure in liters, cubic meters and so on

The formula for volume calculation is given by

volume = length * width * height

from the question

height is 0.15 m more than their width

width = w

height = 0.15 + w

length = L

volume = 652 m³

652 = L * w * (w + 0.15)

652 = (w^2 + 0.15w)L

652 = Lw^2 + 0.15Lw

Lw^2 + 0.15Lw - 652

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-1.3 + u/4 = -7.7 solve for u

Answers

Answer:

[tex]u=-25.6[/tex]

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

The heat in the house is set to keep the minimum and maximum temperatures (in degrees fahrenheit) according to the equation |x – 72. 5| = 4. What are the minimum and maximum temperatures in the house? 72. 5°f and 76. 5°f 68. 5°f and 76. 5°f 70. 5°f and 74. 5°f 72. 5°f and 74. 5°f.

Answers

The indoor temperature ranges between 68.5 and 76.5 degrees Fahrenheit.

Given data;

According to the equation |x - 72. 5| = 4, the home's heating system is configured to maintain the minimum and maximum temperatures (in degrees Fahrenheit).

To find the minimum and maximum temperatures in the house,

We know that modulus is used to make a negative value into a positive;

|x - 72. 5| = 4

|A| = -A < x < A

|x - 72. 5| = 4

⇒ x - 72.5 = -4  x - 72.5 = +4

   x = 72.5 - 4    x = 4 + 72.5

   x = 68.5         x = 76.5

Hence, the minimum and maximum temperatures in the house are 68.5 and 76.5 Fahrenheit.

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La encarnacin y sello distintivo de la Muerte Roja son:A- el espanto y la fatalidadB- la sangre y la enfermedadC- la sangre y el color rojo Sam munches on some almonds. To which food group do almonds belong? A. fruits B. dairy C. protein D. vegetables Question 2 (Essay Worth 10 points)(01.03 MC)Solve the equation x-6+2=6 for the variable. Show each step of your solution process.X5G9BIUS X x IEE 99Source C StylesFormat HELP WHATS IS A multi step equation that has a variable on both side that equals 10 reuben, an obese 55-year-old man, experiences chest pain. he is rushed to an emergency room in a hospital where he describes his pain as a feeling of heavy pressure or tightness in the chest along with shortness of breath. reuben is most likely suffering from a(n) . identify the component that converts direct current (dc) into the alternating current required to power the electric motors. le corbusier was an architect and designer who prioritized the heat energy produced from the burning of coal is the product of solar energy.justify. If the pressure of a gas is tripled and the absolute temperature of the gas is quadrupled, by what factor will the volume of the gas change?. Four bottles of water and three cups of coffee cost $10.85. Four bottles of water and six cups of coffee cost $16.70. How much does each cost? pls help me with this problem christie, a six-year-old girl, has working parents. neither of her parents is available when she returns home from school. as a result, she faces daily periods of separation from her parents. in this example, identify a way in which christie's parents can compensate for the time they spend away from her. if 54 gallons is the volume of 2:7, what is the total volume of 3:12? (Please help quick!)Which rectangle has the same area as the triangleshown? According to the diagram, what is the altitude of the airplane?500 m400 m- Which of the following is an exception to why it is a good idea to follow netiquette?A. So that we do not hurt a friend or a coworker.B. So that we do not harm a friend or a coworker on a personal or professional level.C. So that we do not waste other people's time.D. So that we do not present objective analyses of current issues online. product labels on appliances include information on operating to assist you in selecting the most energy-efficient models. Write a compare-and-contrast analysis to compare the way two different texts present similar ideas. PLEASE HELP FAST!!!! PLEASE LOOK AT THE IMAGE FOR THE QUESTION!!! the economy is growing far too quickly, as high aggregate demand is causing inflation. a. what fiscal policy should be pursued in this instance? (click to select) fiscal policy. b. what will be the effect of the appropriate policy on aggregate demand? aggregate demand will shift to the (click to select) .