In a recent survey of 100 women, the following information was gathered.
33 use shampoo A.
37 use shampoo B.
49 use shampoo C.
12 use shampoos A and B.
5 use shampoos A and C.
9 use shampoos B and C.
2 use all three.
Use the figure to answer the question in the problem.
Calculate the monthly finance charge for the following credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. (Round your answer to the nearest cent.)
$500 balance, 20% rate, $400 payment, adjusted balance method
In a recent survey of 100 women, the following information was gathered.
46 use shampoo A, 44 used shampoo B, and 43 used shampoo C, 13 used a and b and 17 used a and c and 12 used b and c, and 7 used all 3
To answer the question in the problem, we need to analyze the information given in the figure.
Let's start by understanding the figure. It represents a Venn diagram, which is a visual representation of the relationships between different sets of elements. In this case, the sets are the three shampoos: A, B, and C.
In the Venn diagram, we have three overlapping circles: one for each shampoo. The area where two circles intersect represents the number of people who use both those shampoos, and the area where all three circles intersect represents the number of people who use all three shampoos.
Now, let's use the figure to answer the question.
The question is not explicitly stated, so we need to infer what is being asked. Based on the given information, we can determine the number of women who use each shampoo individually and how many use a combination of shampoos.
From the given data, we know that:
- 33 women use shampoo A.
- 37 women use shampoo B.
- 49 women use shampoo C.
- 12 women use shampoos A and B.
- 5 women use shampoos A and C.
- 9 women use shampoos B and C.
- 2 women use all three shampoos.
To find out the number of women who use only one shampoo, we need to subtract the number of women who use combinations of shampoos from the total number of women using each shampoo.
For shampoo A, the number of women using only shampoo A can be calculated by subtracting the number of women using A and B (12), using A and C (5), and using all three (2) from the total number using shampoo A (33):
33 - 12 - 5 - 2 = 14 women using only shampoo A.
Similarly, for shampoos B and C:
- The number of women using only shampoo B = 37 - 12 - 9 - 2 = 14 women.
- The number of women using only shampoo C = 49 - 5 - 9 - 2 = 33 women.
To find out the total number of women using at least one of the shampoos, we need to add the number of women using each shampoo individually and subtract the number of women using all three shampoos (as they were counted multiple times).
Total number of women using at least one shampoo = (number using shampoo A) + (number using shampoo B) + (number using shampoo C) - (number using all three)
= 33 + 37 + 49 - 2 = 117 women.
Using the figure and the given information, we have determined that the total number of women using at least one shampoo is 117.