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Sliva [168]
3 years ago
7

A monthly water bill (in dollars) is a linear function of the amount of water the hose uses (in hundreds of cubic feet, HCF) the

function uses the slope of 1.45
If the monthly cost for 17 HCF is $44.39, what is the monthly cost for 11 HCF ?
Business
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

The monthly cost for 11 HCF would be $ 35.69.

Explanation:

Consider the linear function that represents the amount of water ( in dollars ) for x HCF of used water,

y = mx + c

Where, m is the slope of the function,

We have, m = 1.45,

So, the function would be,

y = 1.45x + c

If y = $ 44.39 and x = 17,

This implies,

            44.39 = 1.45(17) + c

            44.39 = 24.65 + c

44.39 - 24.65 = c

             19.74 = c

Thus, the required equation that shows the amount of water for x HCF of water is,

y = 1.45x + 19.74

For x = 11 HCF,

The amount of water for 11 HCF of water,

y = 1.45(11) + 19.74

y = 15.95 + 19.74

y = 35.69

Hence, the monthly cost for 11 HCF would be $ 35.69.

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Concept check 1. 54/32 converted to a mixed number is ________. 22/32 1.6875 1/38 1 22/32 2. The product of one and four thirty-
Ipatiy [6.2K]

Questions

Concept check

1. 54/32 converted to a mixed number is ________.a) 22/32 b)1.6875 c) 1/38 d)1 22/32

2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. a)1 24/32 b)45/64 c)56/32 d)720

3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. a)480/1024 20/1024 3 1/3 3 40/32

4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. a)98.19 b)96.63 c)9/86 d)98.06

5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? a)4.5% b)5% c)55% d)5.5%

Answer:

1.d)1 22/32

2. b)45/64

3. c)3 1/3

4. a)98.19

5. b)5%

Explanation:

1. 54/32 converted to a mixed number is ________.a) 22/32 b)1.6875 c) 1/38 d)1 22/32

Mixed number is another way of writing improper fraction

54/32= 1 (54 - 32)/32

= 1 22/32

Therefore, option d) 1 22/32 is the correct option

2. The product of one and four thirty-seconds and twenty thirty-seconds is ________. a)1 24/32 b)45/64 c)56/32

d)720

One and four thirty-seconds = 1 4/32

Twenty thirty-seconds = 20/32

= 1 4/32 × 20/32

= 36/32 × 20/32

= 9/8 × 5/8

= 45/64

Therefore, option b)45/64 is the correct option

3. One and eight thirty-seconds divided by twelve thirty-seconds is ________. a)480/1024 b)20/1024 c)3 1/3 d)3 40/32

One and eight thirty-seconds = 1 8/32

Twelve thirty-seconds = 12/32

= 1 8/32 ÷ 12/32

= 40/32 ÷ 12/32

= 40/32 × 32/12

= 40/12

= 3 4/12

= 3 1/3

Therefore, option c) 3 1/3 is the correct option

4. A u.S. Treasury bond is trading at 98 and 6/32. Convert this price to its decimal form. a)98.19 b)96.63 c)9/86 d)98.06

98 and 6/32 = 98 + 6/32

We convert 6/32 to decimal

= 98 + 0.1875

= 98.1875

≈ 98.19

Therefore, Option a is the correct option

5. What is the percentage increase if the s&p 500 index is currently trading at 1,100 and rises 55 points? a)4.5% b)5% c)55% d)5.5%

Percentage increase = Increase/ Orginal amount × 100

Increase = 55 points

Original amount = 1,100

Percentage Increase = 55/1100 × 100

= 0.05 × 100

= 5%

Therefore, option b)5% is the correct option

8 0
3 years ago
Which agency enforces truth in advertising laws and defines deceptive and unfair advertising practices?
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The <span>agency which enforces truth in advertising laws and defines deceptive and unfair advertising practices is the FTC, or the Federal Trade Commission </span>
5 0
3 years ago
On November 1 of the current year, Rob Elliot invested $29,750.00 of his cash to form a corporation, GGE Enterprises Inc., in ex
slavikrds [6]

Answer:

1. What is the amount of profit or loss during December?

  • $9,300

2. What were the total expenses for December?

  • $12,950

3. How much was paid for rent?

  • $1,220

Explanation:

we are missing some numbers, so I looked for a similar question. I found one that was almost identical, but the amount of initial paid in capital varied by a little bit. I still used it with the only difference that I used the given common stock, not the common stock that appears in the picture.

Common stock $29,750

retained earnings for November = $5,000

total assets = $56,150

total stockholders' equity = $38,300

retained earnings = $38,300 - $29,750 = $8,550

  • $5,000 from November
  • $3,550 from December

December's profit = $3,550 (retained earnings) + $5,750 (dividends) = $9,300

income statement = $27,250 - total expenses = $9,300 + $5,000 = $14,300

total expenses = $27,250 - $14,300 = $12,950

utilities expense = $12,950 - $6,450 - $4,625 - $1,220 = $655

3 0
3 years ago
A stock is expected to maintain a constant dividend growth rate of 4.3 percent indefinitely. if the stock has a dividend yield o
Thepotemich [5.8K]

The required return on the stock is 9.9%.

Stock:

  • A stock, also known as equity, is a security that represents the ownership of a fraction of the issuing corporation. Units of stock are called "shares" which entitles the owner to a proportion of the corporation's assets and profits equal to how much stock they own.
  • Stocks represent ownership in a publicly traded company. You take a stake in a firm when you purchase its shares. For example, if a company has 100,000 shares, and you buy 1,000 of them, you own 1% of the company.
  • Stocks are not actual assets; they are financial assets. Paper assets that are easily convertible to cash are referred to as financial assets. Real assets have inherent worth because they are tangible.
  • The required return on the stock=dividend yield + Growth rate
  • which is equal to' =(4.3+5.6)
  • =9.9%

Learn more about Stock here brainly.com/question/1193187

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7 0
1 year ago
Fresh Breath Enterprises (FBE) is a well-known manufacturer of mouthwash. Its main facility is a mint-processing plant, which is
irinina [24]

Answer:

Economies of scope

Explanation:

In the case of economies of scope, the efficiency should be attained via generating the variety of goods and services. In this the production cost is reduced at the time when different kinds of products are being produced

so as per the given situation, it is an example of the economies of scope

Therefore the same is to be considered and relevant

3 0
3 years ago
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