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Alex777 [14]
2 years ago
9

Use the substitution method to solve the system of equations: y = 2x + 7; x = 9

Mathematics
1 answer:
Fiesta28 [93]2 years ago
8 0
Y=25 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.
olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

MC(q) = 200*(q+9)^{-5}

The total cost function is the integrative of the marginal cost function. So:

TC(q) = \int {MC(q)} \, dq

TC(q) = \int {200*(q+9)^{-5}} \, dq

TC(q) = -50*(q+9)^{-4} + K

In which K, the integrative constant, is the fixed cost. So K = 4000.

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

So

TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0
3 years ago
A number divided by 5 is 3 more than -6<br> A)-45<br> B)-30<br> C)-15<br> D)-5
mash [69]
The answer is C

hope that helps!

7 0
3 years ago
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r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t
Lubov Fominskaja [6]

Answer: 37.07

because 35.7+1.37 is 37.07

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3 years ago
HELLPPPPPPPP A Blue Ray Player costs $150 and each disc costs $15.50.
Sliva [168]

Answer:

150 + 15.50 x 0.075

Step-by-step explanation:

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3 years ago
Which three of the following mixed numbers will produce a whole number when added?
Wewaii [24]

Answer:

4\frac{1}{8} , 4\frac{3}{8} , 2\frac{1}{2} = 11

6 0
2 years ago
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