Which of the following situations represent linear growth? Check all of the boxes that apply.

Martin’s savings account increases because he deposits $25 each week.

Cali’s pay increases by 3% per year.

Each week, an athlete getting into shape loses 2 pounds.

Mei-Lin earns $9 an hour at her job.

Answers

Answer 1

Answer:

A, C, and D.

Step-by-step explanation:

Answer 2

The situations that represent linear growth are:

a) Martin's savings account increases because he deposits $25 each week.

d) Mei-Lin earns $9 an hour at her job.

Given are conditions, we need to check which of them shows a linear growth,

Linear growth refers to a constant increase in a variable over time or with respect to another factor.

In both situations (a) and (d), the variables involved change at a constant rate.

In situation (a), Martin's savings account increases by $25 each week. This represents linear growth because the savings account balance is increasing by a fixed amount ($25) on a regular basis (each week).

In situation (d), Mei-Lin earns $9 an hour at her job. This also represents linear growth as the amount Mei-Lin earns increases at a fixed rate ($9) per unit of time (hour).

On the other hand, situations (b) and (c) do not represent linear growth:

In situation (b), Cali's pay increases by 3% per year. This represents exponential growth, not linear growth, because the percentage increase is applied to the current value each year, resulting in a compounding effect.

In situation (c), an athlete getting into shape loses 2 pounds each week. This represents a constant rate of change, but it is not linear growth because the weight loss is decreasing over time.

As the athlete loses weight, the rate of loss may decrease due to factors like metabolism or diminishing returns.

Hence the correct options are a) and d).

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Related Questions

A new sports equipment company, Sports EQUIP, sold 2,835 helmets in their second year

of operation. This is 225% of the number of helmets they sold in their first year. Another

sports equipment company, Sports Inc., sold 446 helmets in their second year of

operation. This is 35% of the number of helmets they sold in their first year. Which

company sold more helmets in their first year?

Answers

Answer:

sports Inc sold more helmets

7. -3.5, 5, 0.6,-0.2
Witch one is least to greatest

Answers

Answer:

-3.5,-0.2,0.6,5 ... is the answer

find x for this problem please!​

Answers

it should be 3 because the angles are equal from the one across from it

Answer:

3 rigth? welp hope its right

find the percent change from $20 to $25

Answers

Answer:

20%decrease

Step-by-step explanation:

sorry I'm bad at explaining things

In the figure below, tan B = 4/3. If BC = 15 and DA = 3, what is the length of DE ?



A. 8

B. 12

C. 6

D. 9


Answers

Answer:12

Step-by-step explanation:

The length of the segment in the right triangle is 6 unit.

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

A right angle triangle,

In which, tan B = 4/3, BC = 15 and DA = 3,

the length of DE = ?

suppose, the length of BD is  x

and the length of DE is h.

we can use trigonometric formula her;

sin B  = AC/BC  

sin B = AC/15

if the value of tan B is 4/3 then the value of sin B will be 4/5.

AC/15  = 4/5

AC  = 12

Now, tan B = 4/3 = 12/AB

AB = 16

Now we can use similarity of triangles;

DE/BD = AC/AB

DE  = BD x (AC/AB)

BD  = AB/2

DE  = 8 x 12/16

      = 6

Therefore, the length of DE is 6 unit.

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6x +2(5x - 6) *
Your answer

Answers

It has to be 16x-12 hope I am right

PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: If I had to guess it would be the fourth one down

~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~

Answers

Answer:

15 dollers per hour

Step-by-step explanation:

HOPE THIS HELPS!

BRAINLIST?????

Answer:

The fixed cost is 15 dollars an hour.

Step-by-step explanation:

At zero hours it is 15 dollars so y=5x+15

After each hour the price goes up by 5 dollars so it is 5 dollars an hour.

What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same

Answers

Answer:

gnp would be higher than gdp

uhhhhh why does my bottle thats called shampoo taste like soap and its fluffy it says cucumber edition i wanted to taste it but it tastes nothing like cucumber and it makes me gassy please help and explain how to stop this?????????

Answers

Answer:

Are we stopping the problem of it not tasting like cucumber or the problem that you're eating it...?

Step-by-step explanation:

Option 1: Easy Fix! Get real cucumbers and crush them into your bottle so the next time you go to eat it you will have organic, real cucumber tasting soap.

Option2: Drink it instead.

Hope I helped! :)

Which of the following is not a desired characteristic of a ‘model?’
a. Correspondence (with real-world phenomenon being modeled).
b. Abstraction (inclusion of fewer features than the real-world phenomenon being modeled).
c. Simplification (i.e., simpler than real-world phenomenon being modeled).
d. Complexity (i.e., more complex than real-world phenomenon being modeled)

Answers

Answer:

Step-by-step explanation:

D.. Complexity (i.e., more complex than real-world phenomenon being modeled

A school fundraiser needs to raise a total of $1000. The students are selling artwork for $25 a piece. They have already raised $300 toward their goal. Write and solve an equation to represent this situation

Answers

ANSWER: 25x+300=1000

EXPLANATION: $25 is how much each artwork is worth so you multiply that by how many artworks needed to make 1000, but since you don’t know how many you need you put an x. You’ve already made $300, so you add that to 25x so you get 25x+300 and then finally because you need your outcome to be 1000 you put that as what the equation should equal to and you should get 25x+300=1000.

Given that f (x) = 5x – 8, what is f (1)?

Answers

Answer:

-3

Step-by-step explanation:

f (1) = 5(1) - 8

5 - 8 =

-3

5(1)-8
5-8
-3

Substitute the 1 for the x and then multiply and subtract.

I WILL MARK BRAINLIEST HELP

Answers

Answer:

Option 3 and 5

Step-by-step explanation:

Using SOLVE, determine the number of marbles that are in a large cylindrical flask as depicted in the handout from Lesson 1. Solve by hand (or electronically) and clearly outline your individual steps. (Sketch, Organized Variables, List Egns, Vary eqns, Evaluate). Embed a photo of your work below. Click the linke, for instructions to embed. Use the following variables for your evaluate step and stay in Sl units. Diameter of Marble - 13 mm Diameter of Flask - 25 cm Height of Flask (to level of marbles) - 40 cm FYI: 10 mm -1 cm

Answers

Given :

Diameter of the flask = 25 cm

radius, r = [tex]$\frac{25}{2}$[/tex] cm

Height of the flask, h = 40 cm

We have to find out the volume of the cylinder flask

Volume [tex]$= \pi r^2h$[/tex]

           [tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]

          = [tex]$19634.95 \ cm^3$[/tex]

          = [tex]$19635 \ cm^3$[/tex]

Now calculate the volume of the marble

Given :

Diameter = 13 mm

radius, R [tex]$=\frac{13}{2} \ mm$[/tex]

Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]

                                                  [tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]

                                                   [tex]$= 1150.35 \ mm^3$[/tex]

                                                or  [tex]$= 115.035 \ cm^3$[/tex]

Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]

                                                          [tex]$=\frac{19635}{115.035}$[/tex]

                                                        = 170.68

Therefore, the number of the marbles used is approximately 170.                  

I really really need help with this! I will give brainliest! It is a 3 part question, but i really need help with it.

The graphs of y=p(x) and y=q(x) are shown. The graph of y=q(x) is a transformation of the graph of y=p(x).

a. Write a formula for the function p.

b. Describe how the graph of y=q(x) can be obtained from the graph of y=p(x).

c. Write a formula for the function q.

Answers

Answer:

Step-by-step explanation:

The function p is an absolute value equation p(x)=|x| or it could be described as the sqare root of x squared.

q(x) could be the negative of p(x) raised by two units

q(x)=-|x|+2

which criteria are responsible for deciding whether a heterogeneous mixture Is a colloid or a suspension?
O A. whether Its composition Is uniform and transparent
O B. whether the particles remaln suspended for an extended period of time
O C. whether It can be separated into simpler substances through physical separation techniques
• D. whether the ratio of components is fixed Is

Answers

Answer:

A

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

The correct answer is whether it can be separated into simpler substances through physical separation techniques.

what is 5/9 + 1/5= ??

Answers

Answer:

34/45

Step-by-step explanation THERE IS NO NEED 5/9 +1/5=34/45

two families that live 270 mi apart plan to meet at a park located between their two homes.both leave at 9:00 am but one family averages 12 mph faster than the other family.
if the families meet at the designated spot 2 and half hours later, determine the average rate of speed for each family

Answers

Answer:

Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.

Step-by-step explanation:

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

Family 1: ((270/2) + (12 x 2.5)) / 2.5

Family 1: (135 + 30) / 2.5

Family 1: 165 / 2.5

Family 1: 66 miles per hour

Family 2: (270/2) / 2.5

Family 2: 135 / 2.5

Family 2: 54 miles per hour

In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:

Family 1 the average rate of speed for each family is 66 miles per hour.Family 2 the average rate of speed for each family is 54 miles per hour

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

So looking at family 1 we found that:

[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]

So looking at family 2  we found that:

[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]

See more about speed at brainly.com/question/7359669

Carlos drew a rectangle that
had a length of 9 inches and a
width of 4 inches.
Find the Area:
Find the Perimeter:
Find the Product.

Answers

Answer:

Area: 36 inches

Perimeter: 26 inches

Step-by-step explanation:

:)

Answer:

the area is 36 inches

the perimeter is 26 inches

the product is 132

Step-by-step explanation:

Area is length times width so.....

9×4=36

Perimeter is the distance around the shape 9+9+4+4=26

Product means to times so 80×52=132

what is the value of x if 2x-41=13

Answers

Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2x - 41 = 13

Step 2: Solve for x

[Addition Property of Equality] Add 41 on both sides:                                 2x = 54[Division Property of Equality] Divide 2 on both sides:                               x = 27

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                                2(27) - 41 = 13Multiply:                                                                                                           54 - 41 = 13Subtract:                                                                                                         13 = 13

Here we see that 13 does indeed equal 13.

∴ x = 27 is the solution to the equation.

Joanna earned $120 last week at her job. This is 1/4 of the amount that she earned for the month. What is the equation and the answer.

Answers

Answer:

120 x 4 = 480

Step-by-step explanation:

The equation would be 120 x 4 because it's 1/4 out of the whole sum. So 120 x 4 = 480.

20 POINTS
look at the rectangle below. the sum of the measures of the 3 interior angles of any triangle is always 180° . What is the measure of


A- 30°
B- 45°
C- 60°
D- 120°

Answers

It’s 30 degrees explain because I just answered someone question it was the same , hope that helps I hope you have a wonderful day

The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the hexagon. Which statement explains the segment formed by these endpoints?

Answers

Answer:

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

Step-by-step explanation:

Answer:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

Step-by-step explanation:

How many 3/8 are in 8?

Answers

Answer: 8 times

Step-by-step explanation: 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3

have a good day

Can someone please help me out?

Answers

Answer:wit wat?

Step-by-step explanation:

Answer:

63%

Step-by-step explanation:

You would have to set up a proportion.

so 504 of 800 = x of 100 is what you are trying to figure out.

504         x

____ = ____

800       100

To solve this logically, to get from 800 to 100 you need to divide by 8, so in order to keep with the proportion you would also have to divide 504 by 8, which results in x being 63. (Or 63%)

Shortcut: The shortcut I use when the numbers are a bit harder to work with is the cross multiply and then divide method. First you multiply the numbers that are diagonal from each other, in this case those numbers would be 504 and 100 which would result as 50,400. Then you would divide by the remaining number (800). With this method you would also arrive at x = 63. This method is just a bit quicker when it come to bigger numbers in my opinion.

Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.

Answers

Answer:

the probability that A is the overall winner is 5/14 or 0.35714

Step-by-step explanation:

Given the data in the question;

probability that A is the overall winner P[A is the overall winner]

⇒ [tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex] [tex]P_{A}[/tex]  + ................

= [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex] + ........

P(A) = [tex]\frac{1}{2}[/tex] = [tex]P_{B}[/tex] = [tex]P_{C}[/tex]             ∴{ they are evenly matched player}

so P(A is overall winner) will be;

= ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁵ + ([tex]\frac{1}{2}[/tex])⁸ + ..........+ ([tex]\frac{1}{2}[/tex])⁴ + ([tex]\frac{1}{2}[/tex])⁷ + ([tex]\frac{1}{2}[/tex])¹⁰ + .............

= ([tex]\frac{1}{2}[/tex])² [1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........] + ([tex]\frac{1}{2}[/tex])⁴[1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........]

= [ ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁴ ] [ 1 / 1 - ([tex]\frac{1}{2}[/tex])³ ]

= [ ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{16}[/tex]) ] [ [tex]\frac{8}{7}[/tex] ]

= [tex]\frac{5}{16}[/tex] × [tex]\frac{8}{7}[/tex]

= 5/14 or 0.35714

Therefore, the probability that A is the overall winner is 5/14 or 0.35714

The probability that A is the overall winner is; 5/14

Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.

Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; [tex]P_{L}[/tex] = 0

However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; [tex]P_{WLX}[/tex] = ¹/₂ ×  ¹/₂ ×  ¹/₂;

       [tex]P_{WLX}[/tex] = ¹/₈

Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;

¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) +  (¹/₄ × ¹/₈³ ) + ........

Now, for that series, as n approaches infinity, the sum of the series would give us;

∑ = ¹/₄(1/(1 - ¹/₈ ))

⇒ ¹/₄(⁸/₇)

⇒ ²/₇

Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;

[1 - (²/₇)]/2

⇒ ⁵/₇ × ¹/₂

P(A) = P(B) = ⁵/₁₄

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You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?​

Answers

Answer:

$47.70

Step-by-step explanation:

45 increase 6% =

45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7

A ball is dropped on the tiles to the right. what are the chances that it would land on a shaded tile? ​

Answers

Answer:

1/3

Step-by-step explanation:

So, we know that the ball is landing on the right side. and on the right side only 1 block is shaded, out of 3 blocks. making the answer 1/3, i hope this helped! If not, put a comment asking to clarify and i will try to help out more

When all the kids who tried out for the Little league were divided into teams of 16 players, there were exactly 8 teams. How many kids tried out?

Answers

Answer:

128

Step-by-step explanation:

16 x 8 = 128

Answer:

128

Step-by-step explanation:

you multiply 16 and 8 because each team has 16 and there are 8 teams so, 16×8=128

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