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Lunna [17]
2 years ago
12

The owner of a go-kart racetrack would like to have a ratio of 2 red racers for every 3 green mini-trucks. The racetrack current

ly has 11 red racers and 21 mini-trucks. Which equation could she use to determine x, the number of additional red racers she should purchase in order to achieve the desired ratio?
Business
1 answer:
kobusy [5.1K]2 years ago
5 0

The equation that the owner of a go-kart racetrack would use to determine x, the number of additional racers she should purchase in order to achieve the desired ratio of 2:3 is <u>x = 21/3 x 2 - 11</u> or <u>x = 14 - 11</u>.

<h3>What is an equation?</h3>

An equation shows the state of equality between two expressions.  In mathematics, it shows that the two sides are equal after solving the various unknown variables.

<h3>Data and Current possessions:</h3>

The desired ratio of red racers for green mini-trucks = 2:3

Red racers = 11

Mini-trucks = 21

To achieve the desired ratio, the red racers must be 14 racers against 21 mini-trucks, which gives a 2:3 ratio.

Thus, since there are 11 red racers, an additional 3 are required, and the equation required to achieve this ratio is <u>x = 21/3 x 2 - 11</u> or <u>x = 14 - 11</u>.

Learn more about equations at brainly.com/question/2972832

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Answer:

1. $12.31

2. -11.96%

Explanation:

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First step is to calculate the Required Return

Using this formula

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Let plug in the formula

Required Return= 5.5% + [2.7 * (17% - 5.5%)]

Required Return= 5.5% + 31.05% = 36.55%

Second step is to calculate g using this formula

g = ROE * (1 - Payout Ratio)

Let plug in the formula

g= 18% * (1 - 0.25)

g= 13.5%

D0 = EPS0 * Payout Ratio = $10 * 0.25 = $2.50

P0 = [D0 * (1 + g)] / [r - g]

= [$2.50 * (1 + 0.135)] / [0.3655 - 0.135]

= $2.8375 / 0.2305 = $12.31

b). Holding Period Return = [P1 + D1 - P0] / P0

= [$8 + $2.8375 - $12.31] / $12.31 = -$1.4727 / $12.31 = -0.1196, or -11.96%

8 0
3 years ago
A company's direction, objectives, and strategy Group of answer choices are set in stone as the end of the planning process. nev
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Answer:

are never final, as managing strategy is an on-going, dynamic process.

Explanation:

In Business management, a strategy can be defined as a set of guiding principles, actions and decisions that an organization combines so as to achieve its business goals, attract customers and possess a competitive advantage over its rivals in the industry.

Business strategy sets the overall direction for the business because it focuses on defining how a business would achieve its goals, objectives, and mission; as well as the funds and material resources required to implement or execute the business plan. The components of a business strategy includes the following;

I. Value.

II. Vision.

III. Mission.

Hence, a company's direction, objectives, and strategy are never final because managing strategy is a continuum or an on-going, dynamic process. Thus, it's never a now and then task.

6 0
3 years ago
Other things held constant, which of the following actions would increase the amount of cash on a companys balance sheet? Select
Leokris [45]

Answer:

Correct option is (c)

Explanation:

When the company repurchases common stock, it has to pay cash to the shareholders to gain rights on the stocks. So, cash decreases in this case.

Payment of dividend also decreases cash from balance sheet.

When company needs cash for investment or growth purpose, it issues common stock to raise funds, thereby increasing cash in the company's balance sheet.

When company gives more time to its debtors, receipt of cash is delayed thereby not increasing cash in balance sheet.

Purchase of new equipment will reduce cash balance.

So issue of new shares increase cash balance in balance sheet.

7 0
3 years ago
Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annua
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Answer:

Bond price=$888.35

Explanation:

<em>The value of the bond is the present value (PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV) discounted at the yield rate</em>

<em>Value of Bond = PV of interest + PV of RV</em>

The value of bond for Local School District can be worked out as follows:

Step 1

PV of interest payments

PV = A × (1+r)^(-n)/r

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r-Annual yield = 8.6%

n-Maturity period = 25  

PV of interest payment:

=75× (1- (1+0.086)^(-25)/0.086)

= 761.22

Step 2

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Step 3

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6 0
3 years ago
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Answer:

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The $4,300 comes from

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hence, the expected return on the portfolio is 14.77%

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3 years ago
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