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Debora [2.8K]
2 years ago
7

Which recursive formula represents the geometric sequence? 25, 20, 16,

Mathematics
1 answer:
slavikrds [6]2 years ago
6 0

Answer:

Step-by-step explanation:

a_n=\frac{4}{5}(a_{n-1})

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Find the angle between the vectors u=i-9j and v=8i+5j
Katyanochek1 [597]

Answer: \cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}

Step-by-step explanation:

u \cdot v=(1)(8)+(-9)(5)=-37\\\\|u|=\sqrt{1^{2}+(-9)^{2}}=\sqrt{82}\\\\|v|=\sqrt{8^{2}+5^{2}}=\sqrt{89}\\\\\cos \theta=\frac{-37}{\sqrt{82}\sqrt{89}}\\\\\theta=\cos^{-1} \left(\frac{-37}{\sqrt{82}\sqrt{89}} \right)\\\\\theta=\boxed{\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}}

7 0
2 years ago
Tell whether the given value is a solution of the inequality.<br> x + 1 &gt; 10; x = 9
Oliga [24]

Answer:

given x+1 > 10,

x > 10 - 1

x > 9

which means x MUST BE more than 9 , which also means 9 isnt included in the inequality therefore x = 9 is not a solution.

6 0
2 years ago
A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is fille
Nady [450]

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

3 0
3 years ago
What is 7x 7(10) =98 in slope intercept form?
labwork [276]
7x+70=98

7x=28

x=4
this is the answer
4 0
2 years 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

#SPJ1

4 0
1 year ago
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