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charle [14.2K]
3 years ago
6

You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you ha

ve enough money
in the account to purchase the car? Round your answer to the nearest whole number
Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

After 7.5 years we will have enough money in the account to purchase the car.      

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

                         = 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

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The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont
navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

\mu = 48, \sigma = 8, Z = -3.

Hence:

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

-3 = \frac{X - 48}{8}

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ4

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2 years ago
Which expression is equivalent to 5(9 + 7)?<br><br> 14 + 12<br> 14 + 7<br> 45 + 7<br> 45 + 35
nika2105 [10]
5(9 + 7) = 5 x 9 + 5 x 7 = 45 + 35
3 0
3 years ago
I need help. I don't understand ​
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Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 *
nataly862011 [7]

Answer:

Mean

Step-by-step explanation:

Given

Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4

Required

Best measure of center

The mean is considered the best measure of center when there are no outliers in the given data.

Outlier is when a particular data set is far away from other datasets.

For instance: 20 is an outlier in the following data sets: 4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4

Also, the given data are not open-ended.

An open-ended data is as follows: 1, 2, 3, 4, 5\ or\ more

Since we do not have any of the above conditions, then the mean is the best center to use.

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3 years ago
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