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4 years ago

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If your starting salary is $50,000 and you receive a 4% increase at the end of every year, what is the total amount, in dollars,

you will earn over the first 16 years that you work? Round your answer to the nearest whole dollar, and express your answer without using commas.

1 answer:

Anika [276]4 years ago

7 0

I believe 91438 if i'm not mistaken<span />

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Who knows how to do this

Oksi-84 [34.3K]

Answer:

(-1, 7)

Step-by-step explanation:

2 unites left would movie from 1 to -1.

1 unit down would move from 8 to 7.

7 0

3 years ago

Read 2 more answers

jonathan meaking his favourite dish pasta,his mother mom ate 2/7 of pasta and his brother ate 1/6 of the pasta. how much did the

oee [108]

Answer:

19/42 or .4523809524 pasta eaten

Step-by-step explanation:

2/7+1/6=19/42 or .4523809524

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3 years ago

please answer this question ASAP and all answer questions I beg you please answer all questions correctly I will give you a brai

Travka [436]

Answer:

first pic: 22

2nd pic: 31

3rd and 4th pic: 5, 5, 3, 4, 3 (in order)

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3 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard

avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

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:

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

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.

Central Limit Theorem

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 $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that $\mu = 33208, \sigma = 2503$ .

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when $X = 33208+633 = 33841$ subtracted by the pvalue of Z when $X = 33208 - 633 = 32575$

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

$s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57$

So

X = 33841

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

$Z = \frac{33841 - 33208}{357.57}$

$Z = 1.77$

$Z = 1.77$ has a pvalue of 0.9616

X = 32575

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

$Z = \frac{32575- 33208}{357.57}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0

4 years ago

PLEASE ANSWER FAST I WILL GIVE BRAINLIEST

ANTONII [103]

Answer: 10 units²

Step-by-step explanation:

We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.

We can get each triangle's area using the formula $A = \frac{1}{2}bh$

<h3>Left Triangle</h3>

base length - 4 units

height - 4 units

$A = \frac{1}{2}(4)(4)$

$A=\frac{1}{2}(16)$

$A =8\hspace{0.1cm}units^2$

<h3>Right Triangle</h3>

base length - 2 units

height - 2 units

$A = \frac{1}{2}(2)(2)$

$A=\frac{1}{2}(4)$

$A=2\hspace{0.1cm}units^2$

Total = 8 units² + 2 units² = 10 units²

6 0

2 years ago