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Damm [24]
3 years ago
5

The trees in a peach orchard were arranged in a square array with $N$ columns and $N$ rows. To enlarge the orchard by one row an

d one column to make a larger square, the owner bought and planted 29 more peach trees. How many trees are in the orchard after the enlargement?
Business
1 answer:
Sav [38]3 years ago
5 0

Answer:

225 trees

Explanation:

The owner previously had N x N trees, or N² trees.

Now there are N² + 29 trees, where N² + 29 is a complete square.

So we need to find out what complete square number + 29 equals another complete square number.

To have a clue what number N is, we must divide 29 by 2 = 14.5

So is 14² + 29 a complete square?

196 + 29 = 225

√225 = 15

So the new orchard has 225 trees.

You might be interested in
Movie studios use market research to reduce their risk of losses by hiring firms such as the National Research Group to conduct
LenaWriter [7]

Answer:

The answer is: B) critique the title, plot and characters

Explanation:

Obviously the movie is almost finished when these prospective moviegoers attend an sneak preview, so the studios can only change a little of the movie depending on the reviews.

That is why they seek information on the title, plot and characters.

The title can be modified (it will cost extra money), but if necessary, it is something that can be done. A famous example is "The Return of the Jedi" whose original name was the "The Revenge of the Jedi".

The plot and the characters are things that can change a little by reediting the movie. Let's use Star Wars again as an example, George Lucas deleted characters from Episode III at the last moment because they weren't appropriate for young audiences. Again this is an expensive process digitally done.

Very few times the regular moviegoers get to see the full movie, sometimes the full movie is released later including the parts that were cut during editing, Avengers End Game added 30 extra minutes a few months after the release.

5 0
3 years ago
Pacific Packaging's ROE last year was only 6%; but its management has developed a new operating plan that calls for a debt-to-ca
Flura [38]

Answer:

36%

Explanation:

For the computation of the company's return on equity first we need to follow some steps which is shown below:-

Step 1

Earnings before tax = EBIT - Interest

= $452,000 - $152,000

= $300,000

Step 2

Earnings after interest and taxes = Earnings before tax - Tax

= $300,000 - ($300,000 × 40%)

= $300,000 - $120,000

= $180,000

Step 3

Asset turnover ratio = Total revenue ÷ Total assets

3.6 = $4,000,000 ÷ Total assets

Total assets = $1,111,111.11

Step 4

Equity ratio = 1 - Debt ratio

= 1 - 0.55

= 0.45

Step 5

Total Equity = Equity ratio × Total assets

= 0.45 × $1,111,111.11

= $500,000

and finally

Return on Equity = Net income ÷ Equity

= $180,000 ÷ $500,000

= 0.36

or

= 36%

3 0
4 years ago
It will cost $6,000 to acquire an ice cream cart. Cart sales are expected to be $3,600 a year for three years. After the three y
vitfil [10]

Answer: 1.67 years

Explanation:

Pay back period calculates the amount of years the cumulative cash flows from an investment equals the amount of money invested.

The table attached explains how the payback was calculated.

The $3600 cost of the cart would be recouped between the first and second years. Therefore, it would be calculated as 1 year + $2400 / $3600 = 1.67 years

I hope my answer helps you.

6 0
3 years ago
Baker Corporation has provided the following production and average cost data for two levels of monthly production volume. The c
erica [24]

Answer:

(B) $18.40

Explanation:

we build the equation system and solve for variable overhead

we must understand that overhead unit cost if calculate as follow:

variable overhead + fixed overhead / volume

so:

\left \{ {{33.8=VMO + FMO/3,000} \atop {64.6=VMO + FMO/1,000}} \right.

We rearrange:

\left \{ {{FMO = (33.8-VMO) \times 3,000} \atop {FMO = (64.6-VMO) \times 1,000}} \right.

We equalize:

(33.8-VMO) \times 3,000 = (64.6-VMO) \times 1,000

And now we solve:

(33.8 - VMO) x 3 = 64.6 - VMO

101.4 - 3 VMO = 64.6 - VMO

36.8 = 2VMO = 18.4

6 0
3 years ago
You decide that as soon as you are financially able, you will hire an agency to put together an advertising plan for you. Unfort
Bumek [7]

Unfortunately, you realize that even if you do hire an agency, you will still have to provide the agency with statements regarding <u>the value proposition and the marketing mix.</u>

<u>Option: A</u>

<u>Explanation:</u>

The marketing blend consists essentially of four components. These are: Position, Price, Promotion and Product. The availability of the market differs among the firms relying on how each company chooses on the proportions of the 4 Ps listed herein.

A firm's Quality Proposal is the mix of advantages or principles that consumers are offered to improve their own lives. Organizations typically aim to build a good value proposition that will provide them the maximum competitive advantage over their rivals.

7 0
3 years ago
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