The Diluent Corp. maintained in circulation during 2020 the following values: 200,000 common shares ($ 2,000,000 of legal capital), 10,000 cumulative preferred shares, 8% ($ 500,000 of legal capital), and two exchangeable bond issues: 1) $ 1,000,000 at 10%, exchangeable at the rate of 40 common shares per bond (each bond is worth $ 1,000), 2) $ 3,000,000 at 8%, exchangeable for 16 shares each (each bonus is worth $ 1,000). In addition, during 2020, Dilujador granted a stock option plan to an executive, through which he can acquire 20,000 common shares at $ 25 / share. The year-end market value of these shares is $ 35 / share. The net income for 2020 was $ 800,000 and the tax rate was 30%. Additionally, a 20% stock dividend was issued on December 30, 2020. There are no accumulated dividends (in arrears) on the preferred shares. Determine the basic and diluted earnings per share computation. Show all calculations. You will not receive partial points if you only write the final answer.

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.

The point of inflection or inflection point is a point in which the concavity of the function changes.

Therefore, From the attached graph, we can see that:

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

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Answer:

a.(1,3)U(4,6)

b.(0,1)U(3,4)

c.(0,2)

d.2,6

e. 2,3

Step-by-step explanation:

Looking at graph and finding intervals.

Answer:

222 cm²

Step-by-step explanation:

Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:

6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².

Answer:

3x+6=8x-49,

-6. -6

__________

3x=8x-55

-8x. -8x

________

-5x=-55

x=11,

3(11)+6=39

8(11)-49=39

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

Answer:

LCM=4

4x3 /4 x 3/4 (x+21)=101/2x4

multiply through by the lcm

3x=20-21

3x/3=-1/3

the answer is-1/3

hope it helps

Answer:

what is the value of {n}to get product 35?

Step-by-step explanation:

(n is seven by the way!!)

Answer:

James is buying lemons for his grandmother, if 5 lemons cost $35, then how much does 1 cost? (n=7 if you are solving)

Step-by-step explanation:

Answer:

3455/72

=47.9861111111

Step-by-step explanation:

Answer:

The answers is 10(5 + 3)

Answer:

16π

Step-by-step explanation:

Area= 64π

or, πr²= 64π

or, r²= 64

r= 8

circumference= 2πr= 2×π×8 = 16π

Answer:

B

Step-by-step explanation:

The slope of the line GH is -3/2, so move point H to (1,-3), and move up 3 and left 3 to get translated point G.

Answer:

The product of 2 and 3/6 is 1

Another expression equal to 2 x 3/6 is 4 x 1/4

Step-by-step explanation:

To find the product of 2 and 3/6, you should first simply 3/6. Find the GCM of 3 and 6. The GCM should be 3, so you divide each side by 3. Then you multiply 1/2 and 2 which is 1. To find another product of 2 x 3/6, you could just another fraction for 1/2.

Hope this helps

The another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is the the product of 2 and 3/6.

We can write -

2 x 3/6 = 1

We can write another expression that is equal to the product of 2 & 3/6 as -

3 x 9/27

Therefore, the another expression that is equal to the product of 2 & 3/6 is : 3 x 9/27.

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Answer:

3

Step-by-step explanation:

12 / 4 = 3

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

Answer:

376.8 ft²

Step-by-step explanation:

that is the correct answer for you friend

Answer:

the answer is 77

Step-by-step explanation:

g/7=11

to find g you do inverse operations

7x11=77

have a great day :D

Answer:

77

......................

Answer:

Step-by-step explanation:

Given the equations of the following line

K: x+2y=6

P: 6x + 3y=12

M: -x+ 2y=10

First we need to get the slpe of each line as shown;

For K:

K: x+2y=6

Rewrite in standard form;

2y = -x + 6

y = -1/2 x + 6/2

y = -1/2 + 3

Slope of K is -1/2

For P:

P: 6x + 3y=12

Rewrite;

3y = -6x + 12

y = -6/3 x + 12/3

y = -2x + 4

Slope of P is 2

For M;

M: -x+ 2y=10

Rewrite

2y = x + 10

y = 1/2 x + 10/2

y = 1/2 x + 5

Slope of M is 1/2

Taking the product of slope K and P

Mk * Mp = -1/2 * 2

Mk * Mp = -1

Since the slope of K and P is -1, hence line M and line P are perpendicular

9514 1404 393

Answer:

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

  down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

  $214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

  A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

  down + (monthly payment)×(number of months)

  = $20,330 + $560.35×420

  = $255,677

Answer:

Step-by-step explanation:

sin = opposite / hypotenuse

Step-by-step explanation:

56048 divided by 543= 103.219153

Answer:

its 103.2

Step-by-step explanation:

Answer:

x axis comes first before the y

Answer:

???? :( Its really impossible question for me

Answer:

The answer should be C

Step-by-step explanation:

I hope that it helps you!

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

(-14,0)

Step-by-step explanation:

lets find the equation of the line first

so lets take two points (-74,18) and (-54,12)

so slope is rise/run= -6/ 20 or -3/10

plugging into the equation

y= mx+b

we get

12= 5.4*3+b

12= 16.2+b

b= -4.2

so equation is y= -.3x-4.2

simplyfying we get

10y= -3x-42

3x= -10y-42

x= -10y-14

so we see that the x intercept is (-14,0)

if my answer helps please mark as brainliest.

Answer:

-14,0

Step-by-step explanation:

Answer:

2/1 of a family

Step-by-step explanation:

Answer:

4 friends will get watermelon

Step-by-step explanation:

1. 1 1/2 + 1 1/2 = 3

2. 1 1/2 + 1 1/2= 3

3. 3+3=6

4. Now count how many times we added 1 1/2.

5. If you counted correctly, you should've gotten 4.

Answer:

Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.

Part B: Exactly 4 11/12 cups

almost equal to 5 cups

Step-by-step explanation:

The missing part of the question is :

2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .

Pears + apples

2 1/2+1 1/4 =

5/2 + 5/4

= 10+5/4

= 15/4

= 3 3/4 cups

Reasonable. The pears and apples is about 3 cups and the grapes

and oranges is exactly 2 cups. This statement is wrong.

Grapes and oranges

2/3 + 1/2

= 4+3/6

=7/6

=1 1/6 cups

grapes and apples

2/3 cup of grapes 1 1/4 cups of apples

2/3 + 5/4

= 8+15/12

= 23/12

= 1 11/12 cups

pears and oranges

2 1/2 cups +1/2 of orange slices

3 cups

Reasonable. The grapes and apples is about 2 cups and pears and

oranges is exactly 3 cups. this statement is true as shown above.

N.B the answer may vary due to the different measurements given in the missing part of the question.

Part B:

grapes and apples + pears and oranges

1 11/12 cups +3 cups

= 23/12+ 36/12

= 59/12

= 4 11/12 cups

Answer:

3 1/4 qt.

Step-by-step explanation:

5 1/2 - 2 1/4 = 3 1/4

Part A (Printer): $12.63

Part B (Computer): $180.83

A:

"take advantage of the cash discount" Since Janet is taking the cash discount we need to use the terms.

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

(Note: 0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02) )

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

How much would Janet save?

$15.60 - $2.9726666 = $12.62733 = $12.63

===============================================

Question has a part B:

"On the computer, what is the difference in the final payment between choices 1 and 2?"

Note: Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

Last payment $3,000 – $2,635 = $365

(2)-------------- Note: 18 Months = 1.5 Years

$3,000 × 0.07× 1.5 = $315

$3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment?

$365 - $184.1666 = $180.8334 = $180.83

A. Janet would save $12.63

B. Computer: $180.83

Since Janet is taking the cash discount we need to use the terms.

"take advantage of the cash discount"

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

[0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02)]

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

Janet would save = $15.60 - $2.9726666 = $12.62733 = $12.63

Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

    Last payment $3,000 – $2,635 = $365

(2) 18 Months = 1.5 Years

    $3,000 × 0.07× 1.5 = $315

    $3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment= $365 - $184.1666 = $180.8334 = $180.83

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f(x) = 3x2 - 4x - 3

g(x) = 5x + 2

h(x) = 3x2 + 4x-