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Alinara [238K]
3 years ago
8

0.39 as a fraction in its simplest form

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

So, first thing is to just get it into fraction form.  Since this goes to the hundreths place, the fraction is

\frac{39}{100}


This fraction cannot be simplified, since 100 and 39 do not share a common factor.

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What is the vertex of the graph of y = −1(x − 2)2 + 3?<br> (3,-2)<br> (-2,3)<br> (3,2)<br> (2,3)
aleksley [76]
The vertex form is y=a(x-h)²+k
the vertex is (h,k)
so

y=-1(x-2)²+3
compare to
y=a(x-h)²+k
2=h and 3=k
the vertex is  (2,3)
4th option
8 0
3 years ago
Read 2 more answers
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
3 years ago
Help please need it fast
inysia [295]
I’m pretty sure the correct answer is B
5 0
3 years ago
!!PLEASE HELP!! CAN GIVE BRAINLIEST!!
lara31 [8.8K]

Answer:

'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.

Step-by-step explanation:

We are given that,

Distance between Earth and Jupiter = 5.9 × 10⁸ kilometers

Distance between Earth and Mercury = 7.7 × 10⁷ = 0.77 × 10⁸ kilometers

So, we see that,

5.9 × 10⁸ > 0.77 × 10⁸

Also, Ratio = \frac{5.9\times 10^8}{0.77\times 10^8} =7.66

That is,

'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.

4 0
3 years ago
Subtract. Simplify, if possible.<br> 5/8<br> -<br> * 2 1 / 2 - 3
Nat2105 [25]

2\frac{1}{2} - \frac{5}{8}

Convert the mixed number to an improper fraction:

\frac{5}{2} - \frac{5}{8}

Subtract the fractions to get your final answer:

\frac{15}{8}

8 0
3 years ago
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