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3 years ago

Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a

Mathematics

1 answer:

Julli [10]3 years ago

6 0

9514 1404 393

Answer:

a) see the attached spreadsheet (table)

b) Calculate, for a 10-year horizon; Computate for a longer horizon.

c) Year 13; no

Step-by-step explanation:

a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.

b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.

The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.

c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.

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The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The di

babunello [35]

Solution:

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

1. For Best Actor

$X_{1}$ = 59 years

$\sigma=7.3, \mu=42.0$

Z, Score for best actor named, $Z_{1}$

$Z_{1}=\frac{59-7.3}{42}\\\\Z_{1}= \frac{51.7}{42}\\\\Z_{1}=1.23095\\\\ Z_{1}=1.24$

Z-Score for best actor = 1.24

2. Z , Score for best supporting actor , called $Z_{2}$

$X_{2}$ =49 years

$\sigma=15, \mu=49.0$

$Z_{2}=\frac{49-15}{49}\\\\Z_{2}= \frac{34}{49}\\\\Z_{2}=0.6938\\\\ Z_{2}=0.70$

Z-Score for best supporting actor = 0.70

Z-Score is usually , the number of standard deviations from the mean a point in the data set is.

3. As, $Z_{1}=1.24$

So, we can say that,Option (B) The Best Actor was more than 1 standard deviation above is not unusual.

4.As, $Z_{2}=0.70$

So, we can say that,Option(A) The Best Supporting Actor was less than 1 standard deviation below, is not unusual.

8 0

3 years ago

Which number is rational?

ziro4ka [17]

Answer:

We need some numbers to work with to truly answer this. However here's a definition of a rational numbers

A rational number is any number that isn't infinite and non-repeating. So decimals, fractions, repeating numbers/decimals like 1.535353.... (53 is the "pattern") are all rational and fair game. Numbers like pi (π), "imperfect" square roots, etc. that don't repeat and are infinite or NOT RATIONAL.

<u>Hope this helps and have a nice day!</u>

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5 0

3 years ago

Rewrite log; x = 4 in exponential form.

aliya0001 [1]

Answer:

Step-by-step explanation

(B) x=34

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3 years ago

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Arlecino [84]

So to answer all of them ( I don’t know if you want that it Imma do it anyways). For the first question: Name a radius - QR. For the second question: Name a diameter - NR. For question three: Name a chord - OP. For the last question: If the length of QS is 8 units, what is the length of NR: Since QS is a radius than the length of NR would be 16. Hope this helps!

4 0

3 years ago

Can some please answer! There is a picture! Thank you!!!!

Cerrena [4.2K]

We know that the measure of arc AC = 92 degrees, and x and y are both inscribed angles of this arc, which means that they will have 1/2 of its measure.

Therefore, x = 1/2 (92) = 46 degrees and y = 1/2 (92) = 46 degrees

x = 46, y = 46 is your answer, or the first option

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3 years ago