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Vera_Pavlovna [14]
2 years ago
9

I’ll give you 20 points if you help me

Mathematics
1 answer:
Nat2105 [25]2 years ago
8 0

Answer:

  f(g(x)) = 2x +(-5)

Step-by-step explanation:

Put the argument value into the function and simplify the result.

  f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1

  f(g(x)) = 2x +(-5)

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NEED HELP ASAP<br><br>Factor completely<br><br>Please show steps<br><br>2(x^3+5x^2-2x^2y-10xy)
Olegator [25]

Step-by-step explanation:

2(x3+5x2−2x2y−10xy)

=(2)(x3+5x2+−2x2y+−10xy)

=(2)(x3)+(2)(5x2)+(2)(−2x2y)+(2)(−10xy)

=2x3+10x2−4x2y−20xy

=2x3−4x2y+10x2−20xy

5 0
2 years ago
Ghost, Inc., has no debt outstanding and a total market value of $369,600. Earnings before interest and taxes, EBIT, are project
arlik [135]

Answer:

Ghost Inc.

A1.

Earnings Per share (EPS)

EPS in normal projection is $4.61 per share

EPS in an expansion is $5.31 Per share

EPS in a recession is $3.51 Per share

A2.

Changes to EPS in an expansion is +15.18%

Changes to EPS in a recession is -23.86%

B1.

Earnings Per share (EPS)

EPS in normal projection is $7.23 per share

EPS in an expansion is $8.62 Per share

EPS in a recession is $5.01 Per share

B2.

Changes to EPS in an expansion is +19.23%

Changes to EPS in a recession is -30.71%

Step-by-step explanation:

<u>Underlying Information:</u>

Earnings before interest and taxes, EBIT projections = $51,000

Expansionary EBIT projections = $51,000 x (100% + 15%) = $58,650

Recessionary EBIT projections = $51,000 x (100% -24%) = $38,760

Tax Rate = 24%

Market to Book Ratio = 1.0

Stock Price is constant.

Solution to A1.

<u>Scenario 1 (Projected Earnings)</u>

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBIT minus tax = $51,000 - ($51,000 x 24%)

                                                 = $51,000 - $12240

                                                 = $38,760

Outstanding shares in issue = 8,400 ordinary Shares

EPS = $38,760 divided by 8,400 shares = $4.61 Per share

<u>Scenario 2 (Projected Earnings in a strong expansion)</u>

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBIT minus tax = $58,650 - ($58,650 x 24%)

                                                 = $58,650 - $14,076

                                                 = $44,574

Outstanding shares in issue = 8,400 ordinary Shares

EPS = $44,574 divided by 8,400 shares = $5.31 Per share

<u>Scenario 3 (Projected Earnings in a Recession)</u>

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBIT minus tax = $38,760 - ($38,760 x 24%)

                                                 = $38,760 - $9,302.4

                                                 = $29,457.6

Outstanding shares in issue = 8,400 ordinary Shares

EPS = $44,574 divided by 8,400 shares = $3.51 Per share

Solution to A2.

1.Changes to EPS in an expansion = EPS (Expansion) minus EPS (normal projection), all divided by EPS (normal projection)

= (5.31 - 4.61) / 4.61

= +15.18% change during an expansion

2.Changes to EPS in a recession = EPS (Recession) minus EPS (normal projection), all divided by EPS (normal projection)

= (3.51 - 4.61) / 4.61

= -23.86% change during a recession

<u>Underlying Information:</u>

Debt issue = $185,000

Interest on debt issued = 6% = $11,100

Market to Book Ratio = 1.0

Stock Price is constant.

Therefore Share Price  = Market Value divided by Outstanding shares in issue = 369,600 / 8400 = $44

This implies our proceeds of $185,000 from debt issue would have repurchased $185,000 divided by $44 = 4,205 ordinary shares

This decision to repurchase its shares indicates the shares outstanding will reduce by 4,205. New outstanding shares will now be 4,195 shares

*Earnings before interest and taxes, EBIT normal projections  = $51,000 & Earnings Before Tax  (EBT) = $51,000 minus $11,100 (debt interest) =  $39,900

*Expansionary EBIT projections = $51,000 x (100% + 15%) = $58,650 & Earnings Before Tax = $58,650 minus $11,100 (debt interest) =  $47,550

*Recessionary EBIT projections = $51,000 x (100% -24%) = $38,760 & Earnings Before Tax = $38,760 minus $11,100 (debt interest) =  $27,660

Tax Rate = 24%

Solution to B1.

<u>Scenario 1 (Projected Earnings)</u>

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBT minus tax = $39,900 - ($39,900 x 24%)

                                                 = $39,900 - $9,576

                                                 = $30,324

Outstanding shares in issue = 4,195 ordinary Shares

EPS = $30,324 divided by 4,195 shares = $7.23 Per share

<u>Scenario 2 (Projected Earnings in a strong expansion)</u>

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBT minus tax = $47,550 - ($47,550 x 24%)

                                                 = $47,550 - $11,412

                                                 = $36,138

Outstanding shares in issue = 4,195 ordinary Shares

EPS = $36,138 divided by 4,195 shares = $8.62 Per share

<u>Scenario 3 (Projected Earnings in a Recession)</u>

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBT minus tax = $27,660 - ($27,660 x 24%)

                                                 = $27,660 - $6,638.40

                                                 = $21,021.60

Outstanding shares in issue = 4,195 ordinary Shares

EPS = $21,021.60 divided by 4,195 shares = $5.01 Per share

Solution to B2.

1.Changes to EPS in an expansion = EPS (Expansion) minus EPS (normal projection), all divided by EPS (normal projection)

= (8.62 - 7.23) / 7.23

= +19.23% change during an expansion

2.Changes to EPS in a recession = EPS (Recession) minus EPS (normal projection), all divided by EPS (normal projection)

= (5.01 - 7.23) / 7.23

= -30.71% change during a recession

6 0
2 years ago
In triangle ABC angle C 105° B 45° BD median of triangle ABC find the angle bdc
antiseptic1488 [7]

Answer:

30

Step-by-step explanation:

105 + 45 +  bdc = 180

bdc=30

8 0
9 months ago
Tessellations that use only one type of regular polygon are called semi-regular tessellations. A. True B. False
Sauron [17]

The answer is B... False. Tansellations that use only one type of regular polygon are not called semi-regular tessellations

5 0
3 years ago
Estimate the quotient 24 3/7 ÷ 3 7/13 by rounding to the nearest whole number.
musickatia [10]

Answer:

you get 6.90372 so i thnk it is clse to B

3 0
3 years ago
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