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Bingel [31]
3 years ago
9

The area of a triangle that is similar to the one below is the area of this triangle. What is the length of the base of the simi

lar triangle? 2.3 ft 3.3 ft 7 ft 63 ft
Mathematics
1 answer:
svp [43]3 years ago
7 0

The answer is 7 feet

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
A city's population is 12,000 and grows at 2.6% rate. What will the population be after 25 years? A city's population is 230,000
Levart [38]

Answer:

The 12000 City would become 22,986 people, while the 230,000 city would become a population of 124,223.

Step-by-step explanation:

1st Part:

=12000⋅(0.026000000000000002⋅25)

=12000(2.718281828459045)(0.65)

=22986

2nd Part:

=230000⋅(−0.044000000000000004⋅14)

=230000(2.718281828459045)(−0.616)

=124223

3 0
2 years ago
Read 2 more answers
Please hurry I will mark you brainliest
pantera1 [17]

Three angles are not acute

so it is false

6 0
2 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%

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
the movie theater collecyed $5,274 in tickets sales on eusday. if each ticket cost $9.00 .how many tickets did they sell
slamgirl [31]
586 tickets because you need to divide 5274/9
7 0
3 years ago
Read 2 more answers
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