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sergeinik [125]
3 years ago
8

Determine the equation of the line, written in slope-intercept form, that passes through the points (1,1) and (5,−1).

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

y=-1/2x+3/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-1)

m=-2/4

m=-1/2

y-y1=m(x-x1)

y-1=-1/2(x-1)

y=-1/2x+1/2+1

y=-1/2x+1/2+2/2

y=-1/2x+3/2

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No-Toxic-Toys currently has $400,000 of equity and is planning an $160,000 expansion to meet increasing demand for its product.
aev [14]

Answer:

Down below

Step-by-step explanation:

<h2>1. It does not expand</h2>

   a. Net income= $100,000 (as given in the question)

   b. Return on equity= (net income)/(shareholder’s equity)

Shareholder’s equity= $400,000

Thus return on equity= 100000/400000 = 0.25  or 25%

<h2>2. It expands and issue $160,000 in debt</h2>

   a. Net income= $100000 + 50000 –  12800 (debt interest 8% of     $160000)

= $137,200

b. Return on equity= (net income)/(shareholder’s equity)

= 137200/400000

=0.343  or 34.3%

<h2>3. It expands and raises equity of $160000</h2>

a. Net Income= $100000 + 50000

= $150000

b. Return on equity= (net income)/(shareholder’s equity)

= 150000/(400000 + 160000)

Where ($560,000) 400000 + 160000 is shareholder’s equity

= 0.27 or 27%

8 0
3 years ago
This box can be packed with 48 unit cubes the unit cube is 1 meter what the volume of the box
Shtirlitz [24]
There may be more than one correct answer here.

Note that 48 cubic units is equivalent to (6 units)(8 units)(1 unit).  Can you think of any other 3 dimensions whose product is 48 cubic units?

3 0
3 years ago
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Can anyone please help me it’s only one question please help me
Veronika [31]

Answer:

A =7.02 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases

A = 1/2 ( 4.5+6.3) * 1.3

A = 1/2(10.8) * 1.3

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3 0
3 years ago
Principal Philippi use a random sample of 20 student records to determine how far in miles students live from the school the res
nexus9112 [7]

Take 3 4 5 3 4 5 6 5 4 3 2 3 4 5 6 4 8 4 3 2 and add them all together

=83

Now you divide 83 by the number of terms in the sample set, which is 20.  

83/20 = 4.15

For rounding to the nearest tenth, look at the hundredths space, which is 5. Since it is 5 or higher, round the tenths up one.  

final answer= 4.2

6 0
3 years ago
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Match the correct translation with the given transformation.
VLD [36.1K]

Answer:

1. a-b

2. a-d

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