Answer:
Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.
If we call the number of cars c, then our proportion is 3/10 = c/100.
Cross multiplying, we get 10c = 300.
Dividing both sides by 10, c = 30.
Answer:
C(p) = 4,96 (in thousands of dollars)
l = 2980 $ invest in labor
k = 2980 $ invest in equipment
Step-by-step explanation:
Information we have:
Monthly output P = 450*l*k ⇒ k = P/450*l
But the production need to be 4000
Then k = 4000/450*l
Cost of production = l * k (in thousands of dollars)
C(l) = l + 4000/450*l
Taking derivatives (both members of the equation)
C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0
45*l² - 400 = 0 ⇒ l² = 400/45
l = 2.98 (in thousands of dollars)
l = 2980 $ And
k = 400/45*l ⇒ k 400/45*2.98
k = 2.98 (in thousands of dollars)
C(p) = l + k
C(p) = 2980 + 2980
C(p) = 5960 $
49,000 is the nearest round to the hundredth to 48,950
Given that S<span>taci must vacuum 1/2 of the house.
If she already has vacuumed 1/3 of her share tonight the part of the house she has vacumed is given by
Therefore, she has vacuumed 1/6 of the house.
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6x^2-x-2 this is of the form ax^2+bx+c
jk=ac=-12 and j+k=b=-1 so j and k must be -4 and 3 so
6x^2+3x-4x-2
3x(2x+1)-2(2x+1)
(3x-2)(2x+1)
