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2 years ago

Help with number 8 please

Mathematics

1 answer:

Mrrafil [7]2 years ago

7 0

The answer would be 1440 feet^2, becasue for area you have to multiply the width, length, and depth. You bascally would draw a 3D rectangle and label the depth, height, and width. That would be your diagram.

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The wettest U.S. city is Mobile, Alabama. The city's chance of rain is 16%. out of a 14- day period, about how many rainy days w

forsale [732]

The answer should B. 2 because 14/100 is equal to x/14. Simplified it is 100x/100=196/100. 196 divided by 100 equals 1.96 which rounds to 2.

7 0

3 years ago

In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

5 0

3 years ago

All other fields of science depend on a proper understanding of chemistry. true or false

Lina20 [59]

Absolutely ducking false no ways. Sound engineers don’t require it (more don’t use it) or computer scientists

8 0

3 years ago

Tatiana [17]

Answer:

Step-by-step explanation:

6 0

1 year ago

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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4 0

1 year ago