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irina [24]
3 years ago
7

Victor Hernandez has a credit card that bases its finance charge on the average-daily-balance method-new purchases included. His

monthly periodic rate is 2.9% and his finance charge for the most recent billing cycle was $37. Find his average daily balance.
Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
We can find the average daily balance of Victor's credit card by using a proportion. Proportions may be used to find missing values in times when we have percentages. The proportion compares two fractions and both sides equal the same amount (that's how we'll know we got the correct answer). The proportion will be written as such: \frac{is}{of} = \frac{percent}{100} . To fill in the blanks, we know our "is" is 37. That is the part of the whole that we are looking for, the "of". Our percent is 2.9, and that goes over 100. To solve. we cross multiply 100 x 37, which gives us 3700. Last, we divide by 2.9. After dividing our final answer is 1,275.86. This means that Victor's average daily balance is is $1,275.86.
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MAVERICK [17]

The number of students that were absent is; 24

<h3>How to find the Probability?</h3>

Let the total number of students be x .

The number of students which were absent = ¹/₃x.

Number of students which were present = ²/₃x

Thus;

Number of students who attended math's test = ¹/₂x

Number of students who attended physics test = ¹/₄x

No. of students who attended both tests = 6

A denotes number of students who attended math's test

B denotes number of students who attended physics test

Thus;

n(A) = ¹/₂x

n(B) = ¹/₄x

n(A ∩ B) = 6

n(A∪B) = number of students which were present

Thus;

n(A ∪ B) = n(A) + n(B) − n(A∩B)

²/₃x = ¹/₂x + ¹/₄x − 6

²/₃x = ³/₄x - 6

³/₄x - ²/₃x = 6

x = 72

Thus, number of students that were absent = ¹/₃ * 72

Number of students that were absent = 24

Read more about Probability at; brainly.com/question/251701

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