Answer:
Step-by-step explanation:
The answer is 7-1=6
Since 1 raised to the fourth is equal to 1
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10 quarts of 20 % salt solution mixed with 5 quarts of 80 % salt solution to make 15 quarts of 40 % salt solution
<em><u>Solution:</u></em>
The final mixture is 15 quarts
Let amount of 20% solution to be mixed, be x
Then, the amount of 80 % solution to be mixed is 15 - x
Thus, we can say,
"x" quarts of 20 % salt solution mixed with (15 - x) quarts of 80 % salt solution to make 15 quarts of 40 % salt solution
thus, we frame a equation as,
Thus 10 quarts of 20 % solution is mixed
Then, 15 - x = 15 - 10 = 5
5 quarts of 80 % salt solution is mixed
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
