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3 years ago

The mathematical model C (x) = 200x + 10,000 represents the cost in dollars a company incurs when

1 answer:

5 0

We have been given a function $C(x)=200x+10,000$ represents the cost in dollars a company incurs when producing x items during a month. We are asked to find the cost to produce 50 items.

To find the cost to produce 50 items, we will substitute $x=50$ in our given function as:

$C(50)=200(50)+10,000$

$C(50)=10,000+10,000$

$C(50)=20,000$

Therefore, it will cost $20,000 to produce 50 items.

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The table below shows the fifth powers of different numbers:

g100num [7]

Part A

Yes y is a function of x. Specifically the equation is y = x^5
For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1
Notice how if x = -1 then y = x^5 = (-1)^5 = -1
Notice how if x = -2 then y = x^5 = (-2)^5 = -32
Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,
x^5 = x*x*x*x*x
there are five copies of x multiplied

A more specific example
3^5 = 3*3*3*3*3
there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify
f(x) = 2x+12
f(4) = 2(4)+12
f(4) = 8+12
f(4) = 20

The value of f(4) is 20
What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20.

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up
The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12
In total, variableCost+fixedCost = 8+12 = 20 = totalCost

4 0

3 years ago

consider a study conducted to determine the average protein intake among an adult population. Suppose that a confidence level of

uysha [10]

Answer:

made up of about 20 common amino acids. The proportion of these amino acids varies as a characteristic of a given protein, but all food proteins—with the exception of gelatin—contain some of each. Amino nitrogen accounts for approximately 16% of the weight of proteins. Amino acids are required for the synthesis of body protein and other important nitrogen-containing compounds, such as creatine, peptide hormones, and some neurotransmitters. Although allowances are expressed as protein, a the biological requirement is for amino acids.

Proteins and other nitrogenous compounds are being degraded and resynthesized continuously. Several times more protein is turned over daily within the body than is ordinarily consumed, indicating that reutilization of amino acids is a major feature of the economy of protein metabolism. This process of recapture is not completely efficient, and some amino acids are lost by oxidative catabolism. Metabolic products of amino acids (urea, creatinine, uric acid, and other nitrogenous products) are excreted in the urine; nitrogen is also lost in feces, sweat, and other body secretions and in sloughed skin, hair, and nails. A continuous supply of dietary amino acids is required to replace these losses, even after growth has ceased.

Amino acids consumed in excess of the amounts needed for the synthesis of nitrogenous tissue constituents are not stored but are degraded; the nitrogen is excreted as urea, and the keto acids left after removal of the amino groups are either utilized directly as sources of energy or are converted to carbohydrate or fat.

3 0

3 years ago

What is the surface area and volume of this figure?

andrey2020 [161]

The surface area is 16 because 10 plus6 eqals 16

7 0

4 years ago

Freddy bought 3 bags of pebbles to put in his fish tank. Each bag contains 295 pebbles. After he put the right amount of pebbles

vitfil [10]

295 x 3 = 885

885-104 = 781

781 pebbles

7 0

3 years ago

On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050

Anastaziya [24]

The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is <u>$143,400</u>, which is the fair value of the Common Stock of Zip Company.

<h3>What is the fair value of an investment?</h3>

The fair value of an investment is the current value and not the historical cost when the investment was made.

Fair value refers to the intrinsic worth of an asset or security.

<h3>Data and Calculations:</h3>

Income Dividends Common Stock Akron's Investment

Declared Fair Value (12/31) in Zip Company

2019 $321,000 $16,050 ($321,000 x 5%)

2020 $79,000 $6,200 376,000 $94,000 ($376,000 x 25%)

2021 89,000 15,800 478,000 $143,400 ($478,000 x 30%)

Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).

Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is <u>$143,400.</u>

Learn more about the fair value of an investment at brainly.com/question/13219936

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5 0

2 years ago