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svp [43]
3 years ago
10

Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with a $8,000 total annual opera

tional cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? a. Korey will see an overall profit in his first year of business. b. Korey will see an overall profit in his second year of business. c. Korey will see an overall profit in his third year of business. d. Korey will see an overall profit in his fourth year of business.
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

c. Korey will see an overall profit in his third year of business

Step-by-step explanation:

His cost for first year

= 12500+8000

=$ 20500

Profit first year= $12000

Net Profit first year= -$8500

Second year cost= $8000

Profit second year

= 12000+12000(0.06)

= 12000+720

=$ 12720

Net profit second year = -8500+12720-8000

= -3780

Third year

Cost = $8000

Profit= 12720+12720(0.06)

Profit=$13483.2

Net profit= 13483.2-8000-3780

Net profit= $1703.2

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The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

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

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
What is 700÷80 and with the remainder thanks
Viefleur [7K]

Answer:

640 R = 60

Explain Your Answer:

7 0
3 years ago
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a s
Korvikt [17]

Answer:

On the graphing calculator, use the function normCdf, where

  • lower bound = -9999
  • upper bound = 210
  • mean = 250
  • standard deviation = 46

It will result in normCdf(-9999,210,250,46) ≈ 0.192269 or 19.2269%

6 0
3 years ago
Help!!!!!!!!!!!! !!!!!!!!!!!!
yulyashka [42]
The correct answer is y=2/3x+4 which is the last option :)
6 0
3 years ago
Read 2 more answers
1. The midpoint of GH is (-2,3), and its endpoints are G (g,4) and H (-2,h). What are the values of g and h
alina1380 [7]

Answer:(g,h)=(-2,2)

Step-by-step explanation:

Given

Midpoint is (-2,3)

Endpoints are G(g,4) and H(-2,h)

Mid point of any two point is given by

x=\frac{x_1+x_2}{2}

and y=\frac{y_1+y_2}{2}

So,-2=\frac{g+(-2)}{2}

-4=g-2

g=-2

Also

3=\frac{4+h}{2}

6=4+h

h=2

Therefore (g,h)=(-2,2)

4 0
3 years ago
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