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aniked [119]
3 years ago
15

With no advertising your newspaper has a circulation of 6000 papers. For each dollar you spend on advertising, your newspaper ci

rculation increases by 5 papers. You earn a profit (taking into account advertising expense) of 9 cents for each paper sold, but you must pay $500 to have the papers delivered. Find a formula that gives the total profit P, in dollars, that you earn if you spend a dollars on advertising.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

Answer:

Step-by-step explanation:

First, the profit formula:

PROFIT= TOTAL REVENUE - TOTAL COST

Next, note the points:

- Without Advertisement, Q = 6,000 where Q is quantity supplied

- A formula that gives the total profit P in dollars must take into account that 100cents = 1dollar

- Here, only a dollar is spent on advertisement, hence, Q = 6005

- Advertising expenses have been accounted for and [P = 9cents × Q] where Q is quantity sold.

- 9 cents = 0.09 dollars

TOTAL PROFIT FORMULA = 0.09Q - 500

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Aleksandr-060686 [28]
\left(\frac{3}{7}x+9\right)-\left(\frac{2}{7}x-3\right)\\\\=\frac{3}{7}x+9-\frac{2}{7}x-(-3)\\\\=\frac{3}{7}x+9-\frac{2}{7}x+3\\\\=(\frac{3}{7}x-\frac{2}{7}x)+(9+3)\\\\=\frac{3-2}{7}x+12\\\\=\boxed{\frac{1}{7}x+12}
4 0
3 years ago
A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
3 years ago
Does anyone know this it sounds simple but there is usually something else to it so I’m not sure.
Artist 52 [7]
16 because 8 rooms have 8-11, 5 rooms have 4-7, and 3 rooms have 0-3 guests.
8 0
3 years ago
Read 2 more answers
PLEASE ANSWER!!
ohaa [14]

Answer: 5 games

Step-by-step explanation: They need to win half their games for a .500 record and half or 30 is 15. They already won 10 so they need to win 15- 10 = 5 more games to have a .500 record.

3 0
2 years ago
Please answer this correctly without making mistakes
snow_tiger [21]

Answer:

d = 115.4 mi

Step-by-step explanation:

Since it gives us the distance in between the locations, we simply label the distances:

From the Garbage to the Hotel is 58.3 miles.

From the Hotel to the Hardware Store is 57.1 miles.

We are trying to find the distance from the Garbage to the Hardware Store, we simply add the distances between:

58.3 mi + 57.1 mi = 115.4 mi

8 0
3 years ago
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