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Alja [10]
4 years ago
13

A football is thrown toward a receiver with an initial speed of 15.4 m/s at an angle of 36.2 ◦ above the horizontal. At that ins

tant, the receiver is 15.8 m from the quarterback. The acceleration of gravity is 9.81 m/s 2 . With what constant speed should the receiver run to catch the football at the level at which it was thrown? Answer in units of m/s
Business
1 answer:
Serhud [2]4 years ago
6 0

Answer:

vr = 3.906 m/s

Explanation:

vi = 15.4 m/s

∅ = 36.2º

d = 15.8 m

g = 9.81 m/s²

vr = ?

We have to get Xmax = R as follows

R = vi²*Sin (2∅) / g

⇒ R = (15.4 m/s)²*Sin (2*36.2º) / (9.81 m/s²)

⇒ R = 23.0437 m

then we can get t applying the equation

R = vi*Cos ∅*t    ⇒   t = R / (vi*Cos ∅)

⇒   t = (23.0437 m) / (15.4 m/s*Cos 36.2º) = 1.85 s

Now, we find the distance that the receiver must be run

x = R - d

⇒  x = 23.0437 m - 15.8 m = 7.2437 m

Finally, we get the speed

vr = x / t

⇒  vr = 7.2437 m / 1.85 s = 3.906 m/s

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andreyandreev [35.5K]

Answer:

The answer is: 1,375 balloon bundles

Explanation:

We can calculate how many balloon bundles must be sold using the following formulas:

  • contribution margin per unit =  Selling price per unit – Variable cost per unit
  • Units = (Fixed costs + Target profit) / (contribution margin per unit)

Contribution margin per unit = $10 - $2 = $8

units = ($5,000 + $6,000) / $8 = $11,000 / $8 = 1,375 units

8 0
4 years ago
What is the effective rate of a $25,000 interest-bearing simple discount 10%, 90-day note?
salantis [7]
The effective interest rate on a discounted note is
.. 1/(1-r) = 1/0.9 ≈ 11.11%

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The amount and time have nothing to do with it for simple interest.
5 0
3 years ago
Turnbull Co. has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. It has a before-tax cost of
OLga [1]

Answer:

Turnbull’s weighted average cost of capital (WACC) will be higher by 0.64% if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Turnbull Co. has a target capital structure of 58% debt, 6% preferred stock, and 36% common equity. It has a before-tax cost of debt of 8.2%, and its cost of preferred stock is 9.3%. If Turnbull can raise all of its equity capital from retained earnings, its cost of common equity will be 12.4%. However, if it is necessary to raise new common equity, it will carry a cost of 14.2%. If its current tax rate is 40%, how much higher will Turnbull’s weighted average cost of capital (WACC) be if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings? (Note: Round your intermediate calculations to two decimal places.)

The explanation to the answer is now given as follows:

Step 1: Calculation of WACC when all of its equity capital is raised from retained earnings

This can be calculated using WACC formula as follows:

WACCR = (WS * CE) + (WP * CP) + (WD * CD * (1 - T)) ………………… (1)

Where;

WACCR = Weighted average cost of capital when all of its equity capital is raised from retained earnings = ?

WS = Weight of common equity = 36%, or 0.36

WP = Weight of preferred stock = 6%, or 0.06

WD = Weight of debt = 58%, or 0.58

CE = Cost of equity = 12.4%, or 0.124

CP = Cost of preferred stock = 9.3%, 0.093

CD = Before-tax cost of debt = 8.2%, or 0.082

T = Tax rate = 40%, or 0.40

Substituting the values into equation (1), we have:

WACCR = (0.36 * 0.124) + (0.06 * 0.093) + (0.58 * 0.082 * (1 - 0.40))

WACCR = 0.078756, or 7.8756%

Rounding to 2 decimal places, we have:

WACCR = 7.88%

Step 2: Calculation of WACC if it raises new common equity

This can also be calculated using WACC formula as follows:

WACCE = (WS * CE) + (WP * CP) + (WD * CD * (1 - T)) ………………… (2)

Where;

WACCE = Weighted average cost of capital if it raises new common equity = ?

WS = Weight of common equity = 36%, or 0.36

WP = Weight of preferred stock = 6%, or 0.06

WD = Weight of debt = 58%, or 0.58

CE = Cost of equity = 14.2%, or 0.142 (Note: This is the only thing that has changed compared to what we have in Step 1 above.)

CP = Cost of preferred stock = 9.3%, 0.093

CD = Before-tax cost of debt = 8.2%, or 0.082

T = Tax rate = 40%, or 0.40

Substituting the values into equation (2), we have:

WACCE = (0.36 * 0.142) + (0.06 * 0.093) + (0.58 * 0.082 * (1 - 0.40))

WACCE = 0.085236, or 8.5236%

Rounding to 2 decimal places, we have:

WACCE = 8.52%

Step 3: Caculation of how much higher will Turnbull’s weighted average cost of capital (WACC) be if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

This can be calculated as follows:

Percentage by which WACC is higher = WACCE - WACCR

Percentage by which WACC is higher = 8.52% - 7.88%

Percentage by which WACC is higher = 0.64%

Therefore, Turnbull’s weighted average cost of capital (WACC) will be higher by 0.64% if it has to raise additional common equity capital by issuing new common stock instead of raising the funds through retained earnings.

5 0
2 years ago
A client has been given atropine to cause mydriasis and cycloplegia. What is the expected outcome for this client?
Nady [450]

Answer:

dilation of the pupil and loss of accommodation

Explanation:

Mydriasis is the dilation of the pupil of the eye. The dilation causes vision to be blurry.

Cycloplegia on the other hand is the loss of accommodation of the pupil and it is caused by the paralysis of the cilliary muscle of the eye. This paralysis causes the eyes to lose its ability to focus on things nearby.

Looking at this two conditions from the administration of atropine, the expected outcome of the client is blurry vision and inability to focus or see things close by(farsightedness).

I hope this helps.

5 0
3 years ago
Universal Containers would like to remove data silos and connect their legacy CRM together with their ERP and with Salesforce. M
iragen [17]

From the options the two techniques that should be used for smooth interoperability now and in the future are

a. Specify the legacy CRM as the system of record during transition until it is removed from operation and fully replaced by Salesforce.

b. Work with stakeholders to establish a Master Data Management plan for the system of record for specific objects, records, and fields.

Explanation:

Join the legacy CRM and Deal for interested parties are two techniques.

Indicate the conventional CRM as the record system throughout the transition up to Sales force’s removal and replacement.

Creates a comprehensive data management strategy for tracking processes for certain objects, databases, and areas, for stakeholders

What's a legacy process when it comes to CRM?  

An old system mostly based on a customer-server in-house design. The application functions on a SQL Server or Oracle interface. There are one or more different application servers for Windows 2000 or 2003.

MDM (Master Data Management) is used in the sector as a tool for identifying and handling an organization's important data to provide, by data management, a single event of reference. The mastered data can include lookup tables — the collection of allowable values and quantitative data supporting decision-making.

3 0
3 years ago
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