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viva [34]
3 years ago
10

Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x 2. Find the marginal cost when 30 radios are produ

ced.
Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0
C(x) = 400 + 20x - 0.2x²

c(30) = 400 + 20(30) - 0.2(30)²

= 400 + 600 - 0.2(900)
= 1000 - 180
= 820

It costs $820 when 30 radios are produced. 

Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

c(31) = 400 + 20(31) - 0.2(31)²

= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.

Now we find the difference which means we subtract the two. 

828 - 820 = 8. 

Your marginal cost is $8. 

To compare we can also do 29 radios. 

c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812

820 - 812 = 8. 
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Answer:

The two equations that can be used to find each of their ages are x=4 \times y and x+y=60 .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

  • The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

                                     x=4 \times y   ----------------- [equation 1]

  • The <u>second condition</u> states that the sum of their ages is 60 years, that means;

                                 x+y=60

                                4y + y = 60     {using equation 1}

                                  5y=60

                                   y=\frac{60}{5}

                                   y = 12 years

Now, putting the value of y in equation 1 we get;

                               x=4 \times y

                               x= 4 \times 12 = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

8 0
2 years ago
Compare square inch for 8 inch square and 8 inch round circle
alexira [117]

Answer:

An 8 inch Circle has a diameter of 8 inch, whereas the 8 inch square has length and width of 8 inch

Step-by-step explanation:

For a circle to be an 8 inch, the diameter should be 8 inches. Square's sides are equal, so we would have 8 inches on each side of the square. The area of this 8 inch square would be 64 in^2, whereas the 8 inch circle's area is 50.24 inch ^2. (because (3.14)(r^2))

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3 years ago
3x + 2 when x = 5<br> Pls
Kisachek [45]

Answer:

15 + 2 = 17

Step-by-step explanation:

7 0
2 years ago
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A boat took 5 h to travel 60 km up a river, against the current. The return trip took 3 h. Find the speed of the boat in still w
Dafna11 [192]

Answer:

Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h

Step-by-step explanation:

If we take speed (velocity) of the boat as V₁ and speed of the current V₂

Let us form equations:

Traveling down the current  V₁ + V₂ = 60/3 = 20 km/h

Traveling against the current  V₁ - V₂ = 60/5 = 12 km/h

V₁ - V₂ = 12

V₁ + V₂ = 20

If we add up the left and right sides of the equations we get:

2 V₁ = 32  =>    V₁ = 32/2 = 16 km/h

from the second equation we get:

V₂ = 20 - V₁ = 20 - 16 = 4 km/h

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rosijanka [135]

Answer:

  • B, B, C

Step-by-step explanation:

1.

Shirts cost $20 each and ties cost $12 each.

<u>Expression for the cost:</u>

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Correct choice is B

2.

<u>An expression that represents 40% of a number is:</u>

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Correct choice is B. False

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Correct choice is C. 31

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3 years ago
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