1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikdorinn [45]
3 years ago
12

What is the radius of a circle with an area of 78.5 cubic inches? Use 3.14 for pi. Enter your answer in the box.

Mathematics
2 answers:
Molodets [167]3 years ago
5 0

Answer:


If the area of the circle is 78.5 squared inches (note we use squared inches for areas and cubic inches for volume) and we want to know its radius r, we have to use the formula of the area of the circle:


A_{circle}=\pi r^{2}  


Then isolate r:


r^{2}=\frac{A_{circle}}{\pi}  


Applying square root on both sides:


\sqrt{r^{2}}=\sqrt{\frac{A_{circle}}{\pi}}  


r=\sqrt{\frac{A_{circle}}{\pi}}  


Substituting the known values:


r=\sqrt{\frac{78.5 inch^{2}}{3.14}}  


r=5>>>>>This is the radius

k0ka [10]3 years ago
3 0

Answer:

its basicaly just 5 :)

Step-by-step explanation: i took the test

You might be interested in
The weight of a meteorite A is 7 times the weight of meterorite B. the sum of both is 176
PIT_PIT [208]

Answer:

B= 22, A=154

Step-by-step explanation:

our equation is 7B+B=176, when you solve that you get B=22, multipy B by 7 and you get the value of A, 154

5 0
3 years ago
Wht is the answer for 2/3+2/9
garik1379 [7]
2/3 = 6/9 So,

6/9 + 2/9 = 8/9

4 0
3 years ago
Read 2 more answers
Point R divides PQ in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate
belka [17]

Answer:

Step-by-step explanation:

tt

4 0
2 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
Question 13<br> HELPPP<br> Thanks
taurus [48]
Your answer is c ur welcome
4 0
2 years ago
Other questions:
  • Simplify.<br><br> 6 · 3p<br><br> 18p<br> 18 + p<br> 9p<br> 63p
    14·1 answer
  • How do i solve this problem?
    9·1 answer
  • Could someone please explain and answer these? Thank you!
    6·2 answers
  • What is an expression ?
    15·1 answer
  • Margo wrote this equation for the area of a rectangle. 17.9w = 166.47. What is the width (w) of this rectangle? A. 9.3 units B.
    7·2 answers
  • Write the recurring decimal 0.473737373... as a fraction.​
    15·1 answer
  • 1.) The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median?
    11·2 answers
  • Find the missing side of the triangle.
    14·1 answer
  • Marc makes 6 1/4 pounds of granola. He wants to freeze 3/4 of the granola. Which expressions can be used to find the number of p
    11·1 answer
  • The radius of a circle is 8 millimeters. what's the circle's area​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!