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3 years ago

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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

1 answer:

Delicious77 [7]3 years ago

8 0

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.

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(a) The mean is 52 and the median is 55.

(b) The first quartile is 44 and the third quartile is 60.

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The first quartile is the middle value of the upper-half of the data set.

The upper-half of the data set is:

36, 38, 43, 44, 44, 45, 50

The middle value of the data set is 44.

Thus, the first quartile is 44.

The third quartile is the middle value of the lower-half of the data set.

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The middle value of the data set is 60.

Thus, the third quartile is 60.

(c)

The range of a data set is the difference between the maximum and minimum value.

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Compute the value of Range as follows:

$Range =Maximum-Minimum\\=69-36\\=33$

Thus, the value of range is 33.

The inter-quartile range is the difference between the first and third quartile value.

Compute the value of IQR as follows:

$IQR=Q_{3}-Q_{1}\\=60-44\\=16$

Thus, the inter-quartile range is 16.

(d)

Compute the variance of the data set as follows:

$s^{2}=\frac{1}{n-1}\sum (x_{i}-\bar x)^{2}\\=\frac{1}{15-1}[(55-52)^{2}+(56-52)^{2}+...+(65-52)^{2}]\\=100.143$

Thus, the variance is 100.143.

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