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EleoNora [17]
3 years ago
5

Suppose your business has a special checking account used just for paying the phone bill. The balance is $740.00 this month. Nex

t month the balance will be $707.60, after that it will be $675.20, and on the third month the balance will be $642.80. Write an explicit formula to represent the balance in the account as an arithmetic sequence. How many months can you pay your phone bill without depositing any more money in the account?
Mathematics
1 answer:
sergejj [24]3 years ago
3 0
740-707.60=32.40
707.60-675.20=32.40
675.20-642.80=32.40
so that means every month you are paying 32.40$ bill. to get how many months you can pay phonebills without depositing any more money devide the 740/32.40=22.83 but you can not pay bill for the 0.83 month so answer will be 22 months
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Step 1

We arrange the given the following data from lowest to the highest

32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8

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32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9

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35 | 0,0,1,1,2,4,5,5,5,5,6,6,

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b. Calculate the median and quartiles of these data.

Number of terms = 64

1) Median = 1/2(n + 1)th value

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This means it is between the 32nd and 33rd value

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2) First Quartile

1/4(n + 1)th value

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This means it is between the 16th and 17th value

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3)Second Quartile = Median

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n = 64

= 1/2(64 + 1)th

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This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

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= 34.55

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= 48.75 th value

This means it is towards the 49th value

32nd = 34.5

Hence,

Q3 --> 35.6

Inter Quartile range

Q3 - Q1

= 35.6 - 33.1

= 2.5

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