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Lunna [17]
3 years ago
15

A race car travels northward on a straight, level track at a constant speed travels 0.754 km in 25.0 s. The return trip over the

same track is made in 30.0 s. (a) What is the average velocity of the car in m/s for the first leg of the run
Business
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

27.42 m/s

Explanation:

Data provided in the question:

Distance traveled on a straight track = 0.754 km

Time taken to cover while going = 25.0 s

Time taken for the return = 30.0 s

Now,

Total distance covered = 2 × 0.754

= 1.508 Km

= 1508 m

Total time taken = 25 + 30 = 55 s

Therefore,

The average velocity of the car = Total distance ÷ Total time

= 1508 ÷ 55

= 27.42 m/s

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In her first few weeks at the marketing division of Rolland Retails, Judith Cox realized that Joshua, Doug, and Carl were closer
garik1379 [7]

Answer:

Judith will become a part of Eric's in-group in the marketing division.

in-group

Explanation:

in-group are said to be a social group  containing some amount of individuals whereby an individual identifies himself/herself as a member of the group. they are a set of people who are together just to achieve a common goal/objectives

5 0
3 years ago
The owner of a bicycle repair shop forecasts revenues of $236,000 a year. Variable costs will be $69,000, and rental costs for t
maria [59]

Answer:

A. $71,200

Bi)$100,200

Bii)$100,200

Biii)$100,200

Explanation:

A. Preparation of an income statement for the shop based on thee estimates

INCOME STATEMENT

Revenues $236,000

Expenses:

Variable costs $69,000

Rental cost $49,000

Depreciation $29,000

Total Expenses $147,000

Tax profit $89,000

($236,000-$147,000)

Less Income Tax (at 20%) $17,800

(20%*$89,000)

Net Income $71,200

($89,000-$17,800)

Therefore Net Income will be $71,200

bi) Calculation for the operating cash flow by using dollars in minus dollars out method

Using this formula

Operating cash flow=Revenue-Cash expenses-Taxes

Let plug in the formula

Operating cash flow=$236,000-($69,000+$49,000)-$17,800

Operating cash flow=$236,000-$118,000-$17,800

Operating cash flow=$100,200

Therefore the operating cash flow by using dollars in minus dollars out method will be $100,200

bii) Calculation of the operating cash flow by using adjusted accounting profits,

Adjusted accounting profit=$71,200+$29,000

Adjusted accounting profits=$100,200

Therefore the operating cash flow by using adjusted accounting profits will be $100,200

biii)Calculate the operating cash flow by using after tax operating cash flow

After tax operating cash flow=[$236,000-($69,000+$49,000)]*(1-0.20)+(0.20*$29,000)

After tax operating cash flow=($236,000-$118,000)*0.80+$5,800

After tax operating cash flow=($118,000*0.80)+$5,800

After tax operating cash flow=$94,400+$5,800

After tax operating cash flow=$100,200

Therefore the operating cash flow by using after tax operating cash flow will be $100,200

4 0
3 years ago
An oligopoly exists when a firm offers a product that has no close substitutes, making the firm the sole source of supply.
Mademuasel [1]

Answer:

B) False

Explanation:

That would be a monopoly (only one supplier).

An oligopoly is a market where there are very few suppliers, and competition is very limited since the barriers to entry are very significant.

For example, the automobile industry is an oligopoly. There are only a few car manufacturers in the world, and they all are very large corporations. It costs hundreds of millions of dollars to introduce a new car model, and every time that happens, the corporations must carry on expensive advertising and promotional campaigns.

4 0
3 years ago
A 60,000 square meter rectangular yard is to be enclosed on three sides by wood fencing that costs $25.00 per meter and on the f
raketka [301]

Answer:

C'(y) = 50 -\frac{3900000}{y^2}=0

And we can solve for y and we got:

y = \sqrt{\frac{3900000}{50}}= 279.285

And using condition (1) we can solve for x and we got:

x= \frac{60000}{279.285}= 214.834

So then the minimum cost for this case would be:

C = 50*279.285 + 65*214.834 = 27928.49

Explanation:

For this case the graph attached illustrate the problem for this case

We know that the total area is 60000, so then we have:

xy = 60000

If we solve for x we got:

x = \frac{60000}{y}  (1)

Now we can define the cost function like this:

C = 2*(25)*y + 25 x +40 x

C(x,y) = 50 y + 65 x

We can use the condition (1) and if we replace in the cost function we have:

C(y) = 50 y + 65(\frac{60000}{y})

Since we need to minimize the cost, we can derivate the function in terms of y and we got:

C'(y) = 50 -\frac{3900000}{y^2}=0

And we can solve for y and we got:

y = \sqrt{\frac{3900000}{50}}= 279.285

And using condition (1) we can solve for x and we got:

x= \frac{60000}{279.285}= 214.834

So then the minimum cost for this case would be:

C = 50*279.285 + 65*214.834 = 27928.49

7 0
3 years ago
Usually, price elasticities of supply areA) positive, because higher prices yield larger quantities supplied.B) considered short
Anna35 [415]

Answer:

A) Positive, because higher prices yield larger quantities supplied.

Explanation:

The correct answer to the question is A) Positive, because higher prices yield larger quantities supplied. The price elasticity of supply determines the change in price as a response to the change in supply of the good or service supplied. This is usually calculated in a figure that determines that if price increases what will be the impact on its supply, which usually is a positive figure.

3 0
3 years ago
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