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Helen [10]
3 years ago
14

Theresa has a credit card that uses the average daily balance method. For the first 12 days of one of her billing cycles, her ba

lance was $350, and for the last 19 days of the billing cycle, her balance was $520. If her credit card's APR is 14%, which of these expressions could be used to calculate the amount Theresa was charged in interest for the billing cycle?
Mathematics
2 answers:
Jobisdone [24]3 years ago
5 0

Answer:

(0.14/365 * 31) ((12*$350 + 19*$520) / 31 ) APEX

katrin [286]3 years ago
4 0
Using the average daily balance method, the amount to be used in calculating Theresa's interest is given by:

\frac{350\times12+520\times19}{12+19} = \frac{4200+9880}{31}  \\  \\ = \frac{14080}{31} =$454.19

Therefore, the interest charge on Theresa for the biling cycle is given by:

\frac{454.19(0.14)}{12} = \frac{63.59}{12}  \\  \\ =\$5.30
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Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300.
Fynjy0 [20]

Answer:

0.02% probability that the average amount billed on the sample bills is greater than $500.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 465, \sigma = 300, n = 900, s = \frac{300}{\sqrt{900}} = 10.

What is the probability that the average amount billed on the sample bills is greater than $500?

This probability is 1 subtracted by the pvalue of Z when X = 500. So

Z = \frac{X - \mu}{s}

Z = \frac{500 - 465}{10}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998.

So there is a 1-0.9998 = 0.0002 = 0.02% probability that the average amount billed on the sample bills is greater than $500.

8 0
3 years ago
The graph shows how the mass of copper
Alex777 [14]

Answer: 8 1/4g/cm³

Step-by-step explanation:

Given the graph :

The rate of change in the mass of copper with respect to volume :

To obtain this, we find the slope or gradient of the graph:

Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)

Drawing a right angled triangle on the anybpart of the line of best fit:

y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2

(y2 - y1) / (x2 - x1)

= (40 -16) / (4.75 - 2)

= 24 / 2.75

= 2400/275

= 8.727 g/cm^3

Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³

6 0
3 years ago
Explain why organization was important in your thought process and calculation for an accurate solution. You should also reflect
gulaghasi [49]

It should be noted that organization was important in the thought process and calculation for an accurate solution.

<h3>What is problem solving?</h3>

It should be noted that problem-solving enables us to identify and exploit opportunities in the environment and exert control over the future.

In this case, problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations

Also, good problem solving activities provide an entry point that allows all students to be working on the same problem.

In this case, the open-ended nature of problem solving allows high achieving students to extend the ideas involved to challenge their greater knowledge and understanding and problem solving develops mathematical power.

Learn more about problem solving on:

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4 0
1 year ago
Sain has a student loan for $22,990. This loan has a simple interest rate of 5%. What is the amount of interest Sain will be cha
djyliett [7]

Answer:

3448.5

Step-by-step explanation:

I=PRT

I=22990×0.05×3

=$3448.5

4 0
3 years ago
Read 2 more answers
Helppp please I need help with this ASAP
galben [10]

Answer:

-7 < -5

Step-by-step explanation:

-5 is greater than -7

6 0
3 years ago
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