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mash [69]
2 years ago
5

Joanne is installing weatherstripping around a 30-in. × 25-in. control box. how much weatherstripping does she need, in inches a

nd feet?
Mathematics
1 answer:
GrogVix [38]2 years ago
7 0
<span>The control box’s dimensions are 30 inches by 25 inches. Therefore, the perimeter of the box is 30 inches + 25 inches + 30 inches + 25 inches = 110 inches. There are 12 inches per foot. 12 goes into 110 nine times, with two inches left over. Therefore, 9 feet and 2 inches of weatherstripping is needed.</span>
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A baby otter was born 3/4 of a month early. At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average
Assoli18 [71]

Answer:

The average weight of new born otter was, 1\frac{31}{40}

Step-by-step explanation:

Let average weight of new born otter be x.

As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium

"\frac{9}{10} kg less than average weight of a new born otter" means x-\frac{9}{10}

As per the given information, we have;

\frac{7}{8} = x -\frac{9}{10}

Add  \frac{9}{10} both sides, we have;

\frac{7}{8} + \frac{9}{10} = x

Take LCM of 8 and 10 is, 40

⇒\frac{35+36}{40}=x

Simplify:

x = \frac{71}{40} = 1\frac{31}{40}

Therefore, the average weight of new born otter was, 1\frac{31}{40}




6 0
2 years ago
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Henry is at the end of a three-year lease for his car. his leasing company says that his car is currently worth $12,780, a 72% r
ahrayia [7]
The residual value or some may term it the salvage value is the value of an item after a certain period of time. Let x be the original msrp (manufacturer suggested retail price), we can calculate for the salvage value as follows:
                                               12,780 = 0.72x
The value of x from the equation generated above is 17,750. Therefore, the original msrp is equal to $17,750.
8 0
2 years ago
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The equation of line is y = x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on ? Why or why not? no, because b
andrew11 [14]
The answer is 2 and 9 because 9 divide by that is 4.5
6 0
2 years ago
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The CEO of Millennium Dairy Product, a small venture among 10 partners each having 100,000 shares, sought to raise an additional
klemol [59]

Answer:

Millennium Dairy Product

a) Share of the company that SBI Caps should require today to get a required rate of return of 50%.

= 50%

b) If the company had 1,000,000 (100,000 x10) shares outstanding before the private placement, SBI Caps should purchase

1,000,000 shares = 50% of (1,000,000 + 1,000,000) shares

Assuming the founding promoters are not giving up their shares, instead, new equity shares are being issued.

c) The price per share SBI Caps should agree to pay, if her required return was 50% is

Rs.50 per share, which will provide the required additional equity financing of (Rs.50 million) since Rs.50 x 1,000,000 equals Rs.50 million.

d) Pre money and post money valuations:

These are based on the calculated Market Price of Rs.1,000 per share from the Price/Earnings Ratio.

Pre money valuation will be Rs.1,000 x 1,000,000 shares = Rs.1 billion

Post money valuation will be Rs.1,000 x 2,000,000 shares = Rs.2 billion

e) Carried interests of the VC and the promoters

VC's carried interest = share of profits = 50% xRs.50 million = Rs.25 million

Promoters' carried interest = Rs.25 million

Step-by-step explanation:

a) Calculation of share in the company:

SBI Cap's required rate of return is 50%

If she invests Rs.50 million today, her expected return will be equal to Rs.50 million x 50% = Rs.25 million

Since rate of return = Net Income/Initial Investment or (Current value of investment - Initial Investment)/Initial Investment.

This return will be equal to 50% of the total net income of Rs.50 million

b) Price/Earnings P/E ratio = Market price per share/Earnings per share (EPS)

Since P/E ratio of similar companies = 20 times,

The company's P/E = 20 times x EPS

With calculated EPS = Rs.50 million /1,000,000 = Rs.50

Therefore, price per share = 20 x Rs.50 = Rs.1,000

Pre money valuation = Rs.1,000 x 1 million shares = Rs.1 billion

Post money valuation = Rs.1,000 x 2 million shares = Rs.2 billion

c) The carried interest is the share of profits to which the promoters and the Venture Capitalists are entitled.  Their respective shares are 50% of the net income = Rs.25 million each.

d) The pre money and post money valuations:  The pre money valuation is the valuation of the company before the additional equity financing.  The post money valuation is the valuation of the company after the additional equity financing.  There are many ways to value a company.  In this case, we have used the P/E ratio as a basis for the valuation.  However, we did not dilute the earnings per share post money, for simplicity.

3 0
2 years ago
The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?
tia_tia [17]
Surface area of a sphere = <span>4π<span>r2</span></span>
 the volume of a sphere= <span><span>43</span>π<span>r3</span></span>
 so <span>5000π=<span>4/3</span><span>πr3
</span></span><span>> r^3 = 5000 x 3 / 4 =>
 r^3 = 3750
</span>taking cube root on both sides
r=15.53616
hope it helps
5 0
2 years ago
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