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sweet-ann [11.9K]
3 years ago
8

Question

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

2.5 hours.

Step-by-step explanation:

Let the distance traveled by the truck heading west = x miles.

Let the distance traveled by the truck heading east = y miles.

Distance between the trucks = 325 miles.

Therefore, x + y = 325 (Equation 1).

Speed of the truck heading west = 70 miles per hour.

Speed of the truck heading east = 60 miles per hour.

Therefore, time taken by the truck heading west = x/70 hours and time taken by the truck heading east = y/60 hours.

Since the time is same for both trucks, therefore:

x/70 = y/60.

6x = 7y.

x = 7y/6 (Equation 2).

Put Equation 2 in Equation 1:

7y/6 + y = 325.

(7y + 6y)/6 = 325.

13y = 1950.

y = 150 miles.

Since time taken by the truck heading east = y/60 hours, put y = 150 miles.

Time taken = 150/60 hours.

Time taken = 2.5 hours.

Therefore, the trucks will travel 2.5 hours before they are 325 miles apart!!!

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Given that:

n = 1600

\hat p = 0.34

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Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}

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Step-by-step explanation:

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Solve this equation,40+18=12=9
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Ivisional income statements and return on investment analysis
tensa zangetsu [6.8K]

The condensed divisional income statements for the three divisions is: $1,159,200, $268,800, $820,800.

<h3>Condensed divisional income statements </h3>

E.F. Lynch Company

Divisional Income Statements For the Year Ended June 30, 20Y8

Mutual Fund  Electronic Brokerage  Investment Banking Division

Fee revenue  $4,140,000      $3,360,000                      $4,560,000

Operating expenses $2,980,800 3,091,200 $3,739,200  

Operating income $1,159,200, $268,800, $820,800

2. Profit margin, investment turnover, and return on investment

Mutual Fund  Electronic Brokerage  Investment Banking Division

Sales  $4,140,000      $3,360,000         $4,560,000

Invested assets  $5,175,000 $1,120,000 $3,800,000

Operating income $1,159,200, $268,800, $820,800

Margin and Turnover

Margin= Net operating income/Net sales

Mutual Fund  Electronic Brokerage  Investment Banking Division

Operating income  $1,159,200 $268,800 $820,800

Sales $4,140,000 $3,360,000 $4,560,000

Margin 28%  8%  18%

Asset turnover ratio=Net sales/Average operating assets

Mutual Fund  Electronic Brokerage  Investment Banking Division

Sales $4,140,000 $3,360,000 $4,560,000

Invested Assets  $5,175,000 $1,120,000 $3,800,000

Turnover 0.8  3  1.2

Return on investment (ROI)=Margin×Assets turnover

Mutual Fund  Electronic Brokerage  Investment Banking Division

Margin      28%                        8%                             18%

Assets turnover 0.8                 3                                1.2

RO1                    22.4%             24%                        21.6%

Summary:

Division    Profit Margin Investment Turnover ROI

Mutual Fund Division   28%              0.8                22.4%

Electronic Brokerage Division 8%    3                   24%

Investment Banking Division 18%     1.2                 21.6%

3. When faced with limited funds for expansion, management should consider an expansion of the Electronic Brokerage Division first.

Therefore the condensed divisional income statements for the three divisions is: $1,159,200, $268,800, $820,800.

Learn more about  condensed divisional income statements here:brainly.com/question/20350980

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