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.
Answers
Answer:C and E
Step-by-step explanation:
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
ADP (adenosine diphosphate) is made of one adenine base, one ribose sugar, and ____ phosphate
groups.
b. two
d. four
a.one
C.three
Answers
PLEASE HELP MEEE!!
5, 18, 6, 18, 13 find the mean absolute deviation (MAD)
(SHOW WORK)
Answers
60/5 =12
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:
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
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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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:
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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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
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
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
The x-coordinate of point S' after the rectangle is dilated by a scale factor of 4 about the orgin is?
Answers
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
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
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.
What is the equation of the line perpendicular
to y= -2x+5 that passes through the point (2,
2)?
Answers
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
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:
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
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.
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:
Thank u to da person who is willing to help me will get this Brainliest! :3
Answers
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
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
i can't find anything on how to do this so pls helppp :))
Answers
Answer:
t=75°
Step-by-step explanation:
Willing to Cashapp whoever can Answer this Question I created!
Must Be correct :D
Answers
Answer:
Step-by-step explanation:
69
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
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
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.
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:
Do you like cake ? Or cookies
Answers
Answer:
both
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: