Natalia is joining an online music service that charges a monthly membership fee of $5.95. A tax of 9% is applied to the monthly membership fee, and an additional one-time initiation fee of $15 is charged at the beginning of the membership. Which of the following represents Natalia’s total charge, in dollars, for a membership lasting m months?
A) 1.09(5.95m + 15)
B) 1.09(5.95m) + 15
C) 1.09m(5.95 + 15)
D) 0.09m(5.95) + 15

P.S. please provide the answer with the working

Answers

Answer 1

Awnser:

Natalie Spent $59.54 on songs after 5 months at online music service.

Step-by-step explanation:

Given:

Total membership cost =$14.99

Number of songs purchased in each month = 9

Cost per song = $0.99

We need to find total amount she had spent after 5 months.

Solution:-

So First we will Number of songs purchased in 5 months.

1 month = 9 songs

So in 5 months = Songs purchased in 5 months.

By Using Unitary method we get;

Songs purchased in 5 months =

Now Also Given:

1 song = $0.99

45 songs = Cost for 45 songs.

Again by using Unitary method we get;

Cost for 45 songs =

No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.

framing in equation form we get;

Total Amount Natalie spent =

Hence Natalie Spent $59.54 on songs after 5 months at online music service.

Answer 2

The expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given that:

Monthly membership fee by online music service considered = $5.95Tax of 9% on monthly feeOne time initiation fee = $15Time for which she uses this service = m months

Total charge Natalia has to pay for m months = Monthly membership fees for m months + 9% tax on it per month + one time initiation fees.

Monthly membership fees + tax amount = $5.95 + 9% of $5.95

= [tex]5.95 + \dfrac{5.95}{100} \times 9 = 5.95 (1 + 0.09) = 5.95(1.09)[/tex] (in dollars)

This is paid for 'm' months, so:

Membership fees + tax amount (for m months) = [tex]5.95 \times (1.09)\times m[/tex] (in dollars)

And as One time initiation fee = $15, thus, we get:

Total charge Natalia has to pay for m months = [tex]5.95 \times (1.09)\times m + 15[/tex]

Equivalently, this is 1.09(5.95m) + 15 (in dollars) (as given by Option B)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, the expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15

Learn more about forming equations here:

https://brainly.com/question/11938672


Related Questions

elena, karla and feye are playing a card game where they score points. karla scores twice the number of points elena foes and faye scores 30 points more then elena does. the sum of their three scores is 114 . who scores more points

Answers

Answer:

faye

Step-by-step explanation:

okay so

114-30=84

25% of 84 = 21

21 is how much elena has

21 x 2 = 42

42 is how much karla has

21 + 30 = 51

51 is how much faye has

42 + 21 = 63

63 + 51 = 114

so therefore faye has the most

Please help missed this lesson

Answers

Answer:

m∠XYW = 32°, m∠WYZ= 85°

Step-by-step explanation:

6x+44-10x+65=117

          -4x+109=117

                 -4x=117-109

                      =8

                     x=-8÷4

                       =-2

Hence, ∠XYW = (6x+44)°

                        = [6(-2)+44]°

                        = (-12+44)°

                        = 32°

Hence, ∠WYZ = 117° - 32°

                        = 85°

Callie got 37 pieces of Halloween candy. Her brother got 42 pieces. She wants to estimate to find about how many pieces of candy they have together. What should her first step be?

Answers

Answer:

Callie needs to hide both her and her brother's candy from him so that none is eaten/stolen.  Then count each stash separately.  Put the candies in groups of 10 to quickly establish that over 70 pieces were collected.  Callie should steal a stack from her brother's pile while he's not looking.  Just calmly shift one stack of ten candies to her side.  She should announce she got 47 pieces and her brother only 32.

Step-by-step explanation:

pls give right answer

Answers

Answer:

C.

Step-by-step explanation:

The more hours a bowler practices per mont,the higher his or her mean bowling score tends to be

I will give Brainliest and thanks to the correct answer. Solve the questions.

Answers

Answer:

8 from the box on right corner

A. Only A
B. Only B
C. Both
D. Neither

Answers

Answer:

A. Only A

Step-by-step explanation:

Lets take a look at Sequence A first. By translating triangle MNO along line segment NB, MNO's top left corner is now on point B, but the shape and orientation have not changed. Then, when we reflect MNO over the vertical line that goes through B, we "flip" MNO onto ABC exactly.

So Sequence A DOES map MNO onto ABC

Now let's take a look at Sequence B to see if it works too. First, we reflect, or "flip" triangle MNO over the vertical line that passes through points M and O. Now MNO and ABC have the same orientation or shape, but aren't in the same location. Next, Sequence B tells us to translate MNO along line segment MB. This puts point M on point B, resulting in the two triangles next to each other and in the same orientation, touching at point B, but not mapped onto one another.

So the answer is choice A: Only A maps MNO onto ABC

Can someone please help how I could find the square root for 121? Please explain step by step to get marked as brainliest!

Answers

Answer:

+ or - 11

Step-by-step explanation:

To find the square root of 121, think of a number that multiplied by itself would get to 121. This number is 11. However, do remember that the number could also be negative 11 bencause a negative times a negative becomes positive.  I would advise you to try memorizing the squares of 0 to 15 to help you with this. Otherwise, you can just use a calculator.

Hope this helps! :)

Lebo can pay $7999 cash for a new car or he can buy it on HP by paying a $2000
deposit and 36 monthly payments of $230. How much extra will he pay by buying on
HP?

Answers

Answer:

2000+(36*230)

=2000 + 8280

= $10,280

so,

$10,280 - $7999

= $2,281 extra

A line passes through a point (8, 2) and has a slope of 3/2

Answers

Answer:

y = 3/2x - 10

Step-by-step explanation:

The equation :

y - y1 = m(x - x1)

y - 2 = 3/2(x - 8)

y - 2 = 3/2x - 12

y = 3/2x - 12 + 2

y = 3/2x - 10

Which equation matches the graph of the greatest integer function given below?
A. Y-[x]-2
B. Y-[x]+4
C. Y-[x]+2
D. Y-[x]-4

Answers

y-[x]-2 it is A the

Step-by-step explanation:

the answer is A

how can a circle be represented algebraically?

Answers

Answer:

Not my words... put quotes

"We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius."

Step-by-step explanation:

1 Solve the system of equations by the substitution method. 5x+10y = 30 4x + 8y = 36 Select the correct choice below and fill in any answer boxes within your choice. A. The solution is (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions: {(x,y)|5x + 10y = 30} or {(x,y)|4x + 8y = 36}. C. There is no solution: Tor .​

Answers

The system of equations:

5x + 10y = 30

4x + 8y = 36

Has no solutions, the correct option is C.

How to solve the system of equations?

Here we have the system of equations:

5x + 10y = 30

4x + 8y = 36

We want to use the substitution method, then we need to isolate one of the variables. Let's work with the second equation:

4x + 8y = 36

Divide by 4:

x + 2y = 9

x = 9 - 2y

Now replace that in the other equation to get:

5*(9 - 2y) + 10y = 30

45 - 10y + 10y = 30

45 = 30

This is a false equation, thus, the system has no solutions.

Learn moer about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

A seagull is flying 20 feet above sea level.A fish is swimming 15 feet below sea level. Which is the farthest away from the surface of the water?

Answers

the seagull is because 20 is higher than 15

Answer:

the seagull

Step-by-step explanation:

the fish is 5 feet farther away from sea level than the fish.

Complete the following table using the problem
above.
Please help me I’m in a hurry what I have In The bottom column that is wrong I think

Answers

Answer:

20

Step-by-step explanation:

How many different four-digit numbers can be formed with the numbers 7; 4; 5; 1; 2; 9; and 8?

Answers

Two answers are possible.
One is with the repetition of digits.
The other is without repetition of digits.
ANSWER 1: With Repetition
Numbers: 1,2,4,5,7,8
There are 4 digits __ __ __ __
1st digit can be filled by any of the 6 numbers.
Similarly 2nd, 3rd and 4th digits.
Hence each digit will have 6 possibilities.
Therefore no.of 4 digit numbers that can be formed are 6 x 6 x 6 x 6 = 1296
ANSWER 2: Without Repetition
4 digits __ __ __ __
Now the first digit can be filled by any of the six numbers. Therefore there are 6 possibilities
The second digit will have only 5 possibilities as one of the numbers gets used up by the 1st digit.
Similarly the 3rd and 4th digits will have 4 and 3 possibilities respectively.
Therefore no.of 4 digit numbers that can be formed are 6 x 5 x 4 x 3 = 360

a data survey representative calls phone numbers selected at tandom until someone answers. each call has a .22 probability of someone answering it. let N be the number of calls until someone answers.

What type of variable is N?

Binomial, geometric or neither?

Answers

Since the number of trials is not fixed, N is neither a binomial or a geometric variable, it is an inverse binomial variable.

The sample is chosen at random, hence, the trials are independent, that is, each person has the same probability of answering it, hence N is not a geometric variable.

For it to be a binomial distribution, there needs to be a fixed number of trials, which there is not, hence, N is also not a binomial variable.

The distribution that counts the number of trials until x successes in the inverse binomial distribution, which means that N is an inverse binomial variable.

A similar problem is given at https://brainly.com/question/25644451

Answer: Geometric

Step-by-step explanation:

31. The sum of two consecutive numbers is 45. Find the numbers.

Answers

Step-by-step explanation:

U1 + U2 = 45

x + (x + 1) = 45

2x = 45 - 1

2x = 44

x = 44/2

x = 22

U1 = x

U1 = 22

U2 = x + 1

U2 = 22 + 1

U2 = 23

Number = 22 and 23

Darius buys a bottle of a chemical solution that contains 70 %percent alcohol. The bottle contains 500 milliliters of solution.
How many milliliters of alcohol are in the solution?

Answers

Set up your problem like this x/500 and 70/100. 500 x 70 / 100= 350 350 millimeters would be your answer

What is 3 + 6x = 2x + 27?

Answers

Answer:

x=6

Step-by-step explanation:

Isolate the x variable.

3+6x=2x+27

3+4x=27

4x=24

x=6

23+441x24-165 will equal what

Answers

Calculator says 10442

please help ill mark brainlest tysm

Answers

Answer:

218

-72

12° C

Step-by-step explanation:

The magnitude of a single number is the positive version of that number.

We write it mathematically like this:

|−218|=218

|-12|=12

The magnitude of a number is also known as the absolute value, and literally means the 'size' of the number, not worrying if it is positive or negative.

For numbers such as 1, 2, 3, and so on, the magnitude is simply the number itself. If the number is negative, the magnitude becomes the absolute value of the number. For example, the magnitude of 10 is 10. The magnitude of -10 becomes the absolute value of -10, which is 10.

5x -25 =105 fin the value of x

Answers

Answer:

26

Step-by-step explanation:

5(26)-25

5*26=130

130-25=105

Answer:

To find the value, isolate x.

5x - 25 = 105

Add 25 to both sides.

5x = 130

Divide both sides by 5.

x = 26

:)

Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
1: If Athlete J continues at that speed, how long will it take to run one mile?
2: How long will it take Athlete J to run 5 miles at that same speed?
3: Who runs faster, J or H? Why?

Answers

The number of minutes it would take Athlete J to run one mile is 12 minutes.

The number of hours it would take Athlete h to run 5 miles is 10/11 hour.

Athlete h runs faster because his average speed is greater than that of  Athlete J.

In order to determine the time it would take Athlete J to run one mile, the average speed has to be determined.

Average speed = total distance / time

2/3 ÷ 8

2/3 x 1/8 = 1/12 mile / minute

Time it would take Athlete J to run one mile = distance / speed

1 ÷ 1/12 = 12 minutes

Average speed of Athlete H = 2 3/4 ÷ 1/2

11/4 x 2 = 5 1/2 miles / hour

Time it would take Athlete H to run 5 miles = distance / speed

5  ÷ 11/2

5 x 2/11 = 10/11 hours

To learn more about average speed, please check: brainly.com/question/9834403

ONLY HELP ME ON 15-17 AND 23-25 IN ORDER!! THANK YOU

Answers

Answer:

15. (0, 10) (2, 5) 16. (0, -3) (3, 0) 17. (3/2, 0) (0, -3) 23. y=-3/2x+6 24. y=x 25. y=3x-7

Step-by-step explanation:

15. 10/1=10, (0, 10), 10/5=2, (2, 5)

16. 12/-4=-3, (0, -3), 12/4=2, (3, 0)

17. 15/10=3/2, (3/2, 0), 15/-5=-3, (0, -3)

23. 3x+2y=12

2y=-3x+12

y=-3/2x+6

24. y-x=0

y=x

25. 3x-y=7

-y=-3x+7

y=3x-7

Pls help im bad at math

Answers

the answer is B! i’m not sure if it’s correct or not but try it

harriet is making loaves of bread for her grandmothers bakery. she has 12 1/2 cups of flour. the recipe calls for 5 1/2 cups of flour to make 3 loaves of bread. which equation can be used to find L, the total number of loaves of bread harriet can make

A 12 1/2 x 5 1/2 = L/3
B 12 1/2 divided by 5 1/2 = L/3
C 12 1/2 + L/3 = 5 1/2
D 12 1/2 - L/3 = 5 1/2

Answers

9514 1404 393

Answer:

  B 12 1/2 divided by 5 1/2 = L/3

Step-by-step explanation:

The proportion ...

  (recipe flour)/(recipe loaves) = (available flour)/(available loaves)

can be rearranged to ...

  (available flour)/(recipe flour) = (available loaves)/(recipe loaves)

  (12 1/2) / (5 1/2) = L / 3 . . . . . . matches choice B

Tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số y = x^ + 4(1 −x) trên |-1; 1]

Answers

Answer:

tite ko malaki hahahhahhaahhaahahahahhaahjjaahahaahahahhah

Step-by-step explanation:

12345

If points A: (1, 4, 2) B: (3, 2, 1) C: (7, y, x) are all collinear. What are the values of y and x?

Thanks in advance (:

Answers

Answer:

Step-by-step explanation:

plz help me asap plzzzzzz

Answers

Answer:

X= - 1/6

Step-by-step explanation:

Well its 16/7 = -8x

We can do a proportion over here

so 16/7 = -8x/1

Now just cross multiply to solve proportion

-56x=16

divide -56 to isolate x

x= 16/-56

Now simplify 16/-56

which is -1/6

So negative 1/6

Answer: x=-2/7

Step-by-step explanation:

What is the probability that you would roll a “5” on a single dice if you rolled it five
times?

Answers

16
Since there is one "successful" outcome (rolling a 5) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6), the probability of rolling a 5 on one roll is P(roll one 5)=16.
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