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Ira Lisetskai [31]
2 years ago
6

Jackie took out a $9,000 personal loan with a 4.5% interest rate that she will pay back in 3 years. She will make monthly paymen

ts of $267.72. Calculate the total cost of repayment Jackie will pay.
Mathematics
1 answer:
gayaneshka [121]2 years ago
7 0

Answer:

Total cost of repayment is $10,852.92

Step-by-step explanation:

Firstly, we need to calculate the interest attached to this loan repayment

To calculate this, we use the formula for simple interest

Mathematically,

I = \frac{PRT}{100}

where P is the amount borrowed which is $9,000

R is the rate which is 4.5%

T is the time which is 3 years

Plugging these values, we have

I = (9000×4.5×3)/100 = $1,215

Now we were also told in the question that she will make a monthly repayment of $267.72

Now the number of months in 3 years is 36 months. Total monthly repayment = 267.72 × 36 = $9637.92

Adding the interest amount, we have 9637.92 + 1215 = $10,852.92

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Mafalda has a save percentage of 0.7380.7380, point, 738 so far this hockey season. Last season, her save percentage was 0.5850.
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Answer:

0.153

Step-by-step explanation:

We have been given that Mafalda has a save percentage of 0.738 so far this hockey season. Last season, her save percentage was 0.585.

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0.738-0.585=0.153

Therefore, Mafalda's save percentage improved by 0.153.

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2 years ago
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There were 8,651 deaths and 14,662 births reported in Hillsborough County in the year 2000. If there were 998,948 people living
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Crude birth rate is all the time reported per 1000 living people.

To compute for this, the formula is number of births x 1000 divided by the estimated population at midyear. So plugging in the values given:

14,662 x 1000 divided by 994,948

= 14662000 / 994948

= 14.68 per 1000 living people.

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A baker is stocking up on ingredients for the next day. She needs to bake between 32 and 48 loaves of bread. Each loaf requires
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The baker should buy a minimum of  

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Suppose a certain airline uses passenger seats that are 16.2 inches wide. Assume that adult men have hip breadths that are norma
Pachacha [2.7K]

Answer:

Each adult male has a 5.05% probability of having a hip width greater than 16.2 inches.

There is a 0.01% probability that the 110 adult men will have an average hip width greater than 16.2 inches.

Step-by-step explanation:

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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem

Assume that adult men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1.1 inches. This means that \mu = 14.4, \sigma = 1.1.

What is the probability that any one of those adult male will have a hip width greater than 16.2 inches?

For each one of these adult males, the probability that they have a hip width greater than 16.2 inches is 1 subtracted by the pvalue of Z when X = 16.2. So:

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

Z = \frac{16.2 - 14.4}{1.1}

Z = 1.64

Z = 1.64 has a pvalue of 0.9495.

This means that each male has a 1-0.9495 = 0.0505 = 5.05% probability of having a hip width greater than 16.2 inches.

For the average of the sample

What is the probability that the 110 adult men will have an average hip width greater than 16.2 inches?

Now, we need to find the standard deviation of the sample before using the zscore formula. That is:

s = \frac{\sigma}{\sqrt{110}} = 0.1.

Now

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

Z = \frac{16.2 - 14.4}{0.1}

Z = 18

Z = 18 has a pvalue of 0.9999.

This means that there is a 1-0.9999 = 0.0001 = 0.01% probability that the 110 adult men will have an average hip width greater than 16.2 inches.

7 0
2 years ago
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