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irina [24]
2 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]2 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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Find the mode for the following distribution. Number Frequency 16 3 20 5 24 9 28 7 32 7 36 5 40 3
andreev551 [17]

Answer: Modes: 3, 5, 7

Step-by-step explanation:

The numbers, 3, 5, and 7, all were repeated. This gave them the total of 2 times they appeared in the sample set. Mode is the most frequent number that appears in the set, which in this case is 3, 5, and 7.

7 0
3 years ago
Mr.Lee wants to survey 20 of the 210 students in seventh grade about the hours they slerp each night. He finds 2 of the 20 stude
allsm [11]

21 students sleep for 9 hours each night

<em><u>Solution:</u></em>

Given that, Mr.Lee wants to survey 20 of the 210 students in seventh grade about the hours they sleep each night

He finds 2 of the 20 students surveyed sleep for 9 hours each night

Therefore, 2 out of 20 students sleep for 9 hours each night

Find out the percentage of 2 out of 20

\rightarrow \frac{2}{20} \times 100 = 10 \%

Thus 10 % of 210 students sleep for 9 hours each night

Find out 10 % of 210

\rightarrow 10\% \text{ of } 210\\\\\rightarrow 10 \% \times 210\\\\\rightarrow \frac{10}{100} \times 210\\\\\rightarrow 21

Thus 21 students sleep for 9 hours each night

6 0
3 years ago
The temperature was -20.5°F at 5 A.M. and rose 5 degrees per hour for the next 5 hours. Melissa says the temperature at 10 A.M.
kati45 [8]

The statement which identifies Melissa’s error and the correct answer is; Melissa added incorrectly. The correct answer is 4.5°F

<h3>Temperature</h3>

  • Initial temperature = -20.5°F
  • Change in temperature per hour = 5°F
  • Number of hours = 5

New temperature = Initial temperature + (Change in temperature per × Number of hours)

= -20.5°F + (5°F × 5)

= -20.5°F + (25°F)

= 4.5°F

Learn more about temperature:

brainly.com/question/2339046

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4 0
1 year ago
6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of
PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

a=\$4.25

b=\$2.25

c=\$4.00/lb

we know that

He wants to buy a tuna sandwich, a bottle of  apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

a+b+cx \leq 8

substitute the given values

4.25+2.25+4.00x \leq 8

Solve for x

Combine like terms

6.50+4.00x \leq 8

Subtract 6.50 both sides

4.00x \leq 8-6.50

4.00x \leq 1.50

Divide by 4 both sides

x \leq 1.50/4.00

x \leq 0.375\ lbs

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0
3 years ago
Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers
oee [108]

Answer:

Three consecutive numbers are 27,28,29

Step-by-step explanation:

Given :  The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers x, x+1, x+2

So, according to given situation 'sum of three consecutive integers is 84'.

x+x+1+x+2=84

\Rightarrow 3x+3=84

\Rightarrow 3x=84-3=81

\Rightarrow x=\frac{81}{3}

\Rightarrow x=27

So,x=27

x+1= 27+1=28

x+2=27+2=29

Therefore, three consecutive numbers are 27,28,29

4 0
2 years ago
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