PLEASE HELP !

Which scenarios represent one quantity changing at a constant rate per unit interval relative to the other quantity?
Select all that apply

A. An employee earns $14 per hour.

B. An employee earns a 3% raise each year.

C. A gym charges a $50 down payment plus $30 per month.

D. A piece of gym equipment decreases 8% in value every 6 months.

E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.

PLEASE HELP ! Which Scenarios Represent One Quantity Changing At A Constant Rate Per Unit Interval Relative

Answers

Answer 1

Answer:C and E

Step-by-step explanation:

Answer 2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Given that, an employee earns $14 per hour.

What is constant rate of change?

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

A). Let the number of hours be x and the total money earned be y

So, y=14x

B). Let the money earn by an employee each year be a and total earning in a year be b.

So, b=a+3% of a

⇒ b=a+0.03a

⇒ b=1.03a

C) Let the number of months be m and the total charge be t

So, t=50+30m

D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months

So, [tex]A=p(1-\frac{8}{100} )^{6t}=p(0.92)^{6t}[/tex]

E) Let the number of hour be x.

Here, 30 minutes = 1/2 hours

Total charge = 20+5x/2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

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Related Questions

Zane bought cupcakes for his sister's birthday party. 60% of the 90 cupcakes had sprinkles on top. How many cupcakes had sprinkles?

Answers

Answer:

54

Step-by-step explanation:

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5, 18, 6, 18, 13 find the mean absolute deviation (MAD)
(SHOW WORK)

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5+18+6+18+13=60 divided by the number of numbers (5)
60/5 =12

write a function rule for the nth term of each arithmetic sequence help :{ these are three questiom which m trying to solve but i cant i really mean i cant ​

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the AP.

1.) For the first Sequence, d= 4

so we get as, an = a + (n-1) d

an = 9/2 + (n-1) 4

an = 9/2 +4n -4

=> an = 1/2 + 4n

2.) d = 3

=> an = 10/3 + (n-1) 3

so, => an = 10/3 +3n -3

=> an = 1/3 +3n

3.) d = -0.2

=> an = 1/2 +(n-1) (-0.2)

=> an = 1/2 -0.2n +0.2

=> an= 0.7 -0.2n

a square has a perimeter of 60 m what is the length of each side?

Answers

Answer:15

Step-by-step explanation:

In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.

1. Write an equation with a variable that can be solved by first using addition, and then using division. In other words, to solve your equation, you should add a number to both sides, and then divide both sides by a number.

2. Solve your equation. Make sure to set your solution equal to the variable.

3. Explain how you got your answer.

Answers

Answer:

12x-4= 2

Step-by-step explanation:

12x-4= 2

Add 4 to both sides

12x= 6

divide by 12

x= .5

Thank u to da person who is willing to help me will get this Brainliest! :3

Answers

1) use distributive property
3x - 6 + 5x + 4
8x - 2

2) 4-2x - 14 - 3
-14 - 2x

Answer:

1) x=0.25, or 1/4, 2) 6.5

Step-by-step explanation:

1)

3(x-2) + 5x+4

3x - 6 + 5x + 4

8x - 6 + 4

8x + 2

/2 /2

x= 0.25

2)

4 - 2(x+7) - 3

4 - 2x - 14 + 3

4 - 2x - 17

-2x - 13

/-2 /-2

x = 6.5

How much money should be invested in an account that earns 8% interest compounded quarterly to yield $10,000 in 4 years? (Round your answer to the nearest cent.)

Answers

Answer:

757,576cents

Step-by-step explanation:

Given

Amount = $10000

Time = 4years

Rate = 8%

n = 1/4 year (compounded quarterly

Using the formula to get the principal

A = P(1+r/n)^nt

10000 = P(1+0.08/0.25)^4(1/4)

10000 = P(1+0.32)

10000= 1.32P

P = 10000/1.32

P = 7575.76

Hence he suppose to invest $7575.76 which is equivalent to 7575.76×100 cents i.e 757,576cents

Relaciona correctamente cada número con sus respectivos múltiplos: 1) 14135 2) 11234125723 A) múltiplo de 3 B) múltiplo de 5 C) múltiplo de 11

Answers

Answer:

1) 14135 = B) múltiplo de 5 C) múltiplo de 11

Step-by-step explanation:

Para saber si un numero es un multiplo de otro simplemente tenes que dividir el otro numero por el primero y si el resultado es un numero entero (sin resto y que no es un decimal) entonces es un multiplo de ese numero. En esta pregunta el primer numero (14135) es multiplo de 5 y de 11 por que al dividir no quedan restos, pero no es multiplo de 3 por que si quedan restos.

14135 / 3 = 4,711.666

14135 / 5 = 2,827

14135 / 11 = 1,285

El segundo numero (11234125723) no es multiplo de ninguna de las opciones por que todos dejan restos.

11,234,125,723 / 3 = 3,744,708,574.33333

11,234,125,723 / 5 = 2,246,825,144.6

11,234,125,723 / 11 = 1,021,284,156.636363

Les is sending 8 identical catalogs to one of his
customers. If the package with the catalog weighs 6.72 pounds, how much does each catalog weigh.

Answers

Answer:

0.84

Step-by-step explanation:

Well if you do 6.72/8 that will give you the answer which is 0.84

It is estimated that 7 out of 10 people invited to a wedding will attend. If Mark and Katie invite 120 people, how many should they expect to attend?

Answers

7 and 10 is half

so we expect the people come to wedding half of 120÷2=60 people

i just try

Find the value of x and the measure of each angle:

1. x =

2. m∠5x + 62 =

3. m∠3x + 47 =

Answers

Answer:

Step-by-step explanation:

Find the supplement of 5x + 62

Call the supplement = z

5x + 62 + z = 180                Subtract 5x + 62 from both sides

z = 180 - (5x + 62)               Remove the brackets

z = 180 - 5x - 62

z = 118 - 5x

Add the 3 angles to 180

37 + 3x + 47 + 118-5x = 180    All triangles have 180 degrees. Combine like terms

202 - 2x = 180                        Subtract 202 from both sides

-2x = - 22                                Divide by -2

x = -22/-2

x = 11

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

x = 11

5x + 62 = 5*11 + 62 = 55 + 62 = 117

3x + 47 = 3*11 + 47 = 33 + 47 = 80

Note these do not add up to 180. That's because 5x + 63 is outside the triangle.

The supplement of 117 = 63

37 + 63 + 80 = 180 as it should.

The ratio of the measure of the three angles in a triangle is 2:9:4. Find the measures of the angle.

Answers

Answer:

Let the measures of three angles be 2x, 9x, 4x

Sum of the angles of a triangle = 180

2x+9x+4x = 180

15x = 180

x = 180/15 = 12

First angle = 2x = 2*12 = 24°

Second angle = 9x = 9*12 = 108°

Third angle = 4x = 4*12 = 48°

I hope it is helpful:D

Step-by-step explanation:

ADP (adenosine diphosphate) is made of one adenine base, one ribose sugar, and ____ phosphate
groups.
b. two
d. four
a.one
C.three

Answers

ADP has two phosphate.

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value. Why or why not.

Answers

Answer:

No.

Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct

I WILL MAKE BRAINLEST

Answers

Answer:

1 and - 2

Step-by-step explanation:

f(- 3) means what is the value of y when x = - 3

When x = - 3 the corresponding point is (- 3, 1 ) ← with y = 1, thus

f(- 3) = 1

Similarly for f(0)

When x = 0 the corresponding point is (0, - 2 ) ← with y = - 2 , thus

f(0) = - 2

The x-coordinate of point S' after the rectangle is dilated by a scale factor of 4 about the orgin is?

Answers

Help me! I’ll mark you brainly!

choose the correct slope of the line that passes through the points (-4,8) and (-3, -6)

Answers

Answer:

-14x-48

Step-by-step explanation:

Convert the mixed fraction to a improper fraction. 2 4/9

Answers

Mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]

Define improper fraction.

A fraction in which value of numerator is greater or equal to the value of the denominator is known as an improper fraction.

Given mixed fraction is [tex]\boldsymbol{2\frac{4}{9}}[/tex]

[tex]2\frac{4}{9}=\frac{\left ( 9\times 2 \right )+4}{9}[/tex]

     [tex]=\frac{22}{9}[/tex]

So, mixed fraction [tex]\boldsymbol{2\frac{4}{9}}[/tex] can be written as improper fraction as [tex]\boldsymbol{\frac{22}{9}}[/tex]

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The required improper fraction is x = 22/9

Given that,
To Convert the mixed fraction to an improper fraction. 2 4/9

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = numerator / denominator,
example = 8 / 9`
Types of function,
1 .  Proper Fractions = numerator < denominator

2 . Improper Fractions = numerator > denominator

3 . Mixed Fractions: fraction in the form x+ a/b

What is an improper fraction?

An improper fraction is defined as when the numerator is equal to or larger than the denominator. example = a / b where a  > b or 5/2 where 5 > 2.

Let the fraction be x,
x = 2 4/9
x = 2 + 4/9
x = (18 + 4 ) / 9
x = 22/9


Thus, the required improper fraction is x = 22/9

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Willing to Cashapp whoever can Answer this Question I created!
Must Be correct :D

Answers

Answer:

Step-by-step explanation:

69

can someone please help. im running low on points.

Answers

Answer:

i think it's:: -6 11/21

Answer:

-6 11/21

Step-by-step explanation:

Brainliest, thanks, five stars

Answers

Answer:

Option C) 16(0.5x - 0.75y + 2)

Step-by-step explanation:

16(0.5x - 0.75y + 2) = 16*0.5x - 0.75y*16 + 2 *16

                                = 8.0x - 12.0y + 32

                                =  8x - 12y + 32

please help its easy but I dont understand it​

Answers

Answer: 15

Step-by-step explanation:

Plug in 8 for e and solve

8 - ((sqrt 8 + 1) + 2)) + (8 - 3sqrt8) sqrt8 - 4

i can't find anything on how to do this so pls helppp :))​

Answers

Answer:

t=75°

Step-by-step explanation:

Find the value of each variable.



a​ = 6, b = , c = , d = 6

a = 6, b = , c = 2, d = 6

a = 6, b​ = , c = , d =

a = , b = , c = , d = 6

1

Answers

Answer:

Its 1

Step-by-step explanation:

Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.

How many more dollars will Amanda earn on each cake if she switches to the new material? Explain how you found your answer. (5 points)

Answers

Answer:

6

Step-by-step explanation:

Her profit will increase be 6 dollars.  

x = 1

y = 45(1)

y = 45  

The number of more dollars earned by Amanda if she switched to new icing will be $6.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties

Given that Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a new type of icing that will increase her profit, as expressed by the function y = 45x, where x is the number sold and y is the amount of profit.

The number of dollars will be calculated as,

y = 45x

For 1 cake the profit with new icing is,

y = $45

The more number in profit is calculated as,

P = 45 - 39

P = $6

Therefore, the number of more dollars earned by Amanda if she switched to new icing will be $6.

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Please Help ASAP If you want brainliest and 5 fives and thanks and friends list

Answers

Answer:

D is the answer

Step-by-step explanation:

Can someone answer this for me please all in slope intercept form!

Answers

1. y = [tex]\frac{1}{6}[/tex]x - 2

2. y = 2x + 5

3. y = -7x - 2

4. y = [tex]\frac{1}{2}[/tex]x + 7

5. y = -[tex]\frac{5}{3}[/tex]x - 9

6. y = -x + 5

7. y = -[tex]\frac{2}{7}[/tex]x - 1

8. y = 5x + 4

Do you like cake ? Or cookies

Answers

Answer:

both

Step-by-step explanation:

What is the equation of the line perpendicular
to y= -2x+5 that passes through the point (2,
2)?

Answers

Answer: y = 1/2x + 1

Explanation: for a perpendicular line, take the reciprocal of the given slope. In this case, the reciprocal of -2 is +1/2.
Plug your new slope into the equation
Y = Mx+b
And then plug in the given (2,2) for the x and y coordinates. And solve for b.

Y = 1/2x + b
2 = 1/2(2) + b
1 = b

You have the new slope that we got from taking the reciprocal of the given slope, and we found our b. The equation of line perpendicular to y = -2x + 5 is:

y = 1/2x + 1

Marissa wants to blend candy selling for $1.80 per pound with candy costing $1.20 per pound to get a mixture that costs her $1.40 per pound to make. She wants to make 90 pounds of the candy blend. How many pounds of each type of candy should she use?

Answers

Answer: 30 lb of $1.80 candy

60 lb of $1.20 candy

Step-by-step explanation:

let ( x )represent the pounds of $1.80 candy.

Then 90-x will be pounds of $1.20 candy, • Total mix

= 1.80x + 1.20(90-x)

But because we the value to be same as 90 pounds of $1.40 per pound mix, so the equation

= 1.80x + 1.20(90 -x) = 1.40(90)

Simply the equation

= 1.80x + 108 - 1.20x = 126

= 0.60x + 108 = 126

0.60x = 126 - 108

0.60x = 18

divide both sides by 0.60

x = 30.

30 lb is the pounds of $1.80 candy

Substitute x into 90-x

90 - 30

= 60.

pounds of $1.20 candy Is 60 lb.

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