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ikadub [295]
3 years ago
12

Find the distance between the pair of points. (-16, 12) and (-22, -19).

Mathematics
1 answer:
NeTakaya3 years ago
8 0
d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}
d = \sqrt{[-22 - (-16)]^{2} + (-19 - 12)^{2}}
d = \sqrt{(-22 + 16)^{2} + (-31)^{2}}
d = \sqrt{(-6)^{2} + (-31)^{2}}
d = \sqrt{36 + 961}
d = \sqrt{997}
d \approx 31.57
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3 years ago
Jane is 3 years older than mary, and mary is twice as old as kay. if kay is x years old, how old is jane?
krek1111 [17]
The answer is y = 2x + 3.

x - Kay's age
y - Jane's age
m - Mary's age

<span>Jane is 3 years older than Mary: y = m + 3
</span><span>Mary is twice as old as Kay: m = 2x
</span><span>
y = m + 3
m = 2x

Substitute m in the first equation:
y = 2x + 3
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6 0
3 years ago
Read 2 more answers
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%

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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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Amount Earned Each Week:

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Amount Put Into Savings Account:

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Amount Kept After Savings:

$222 - $71.04 = $150.96

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