Answer:
The casino is making 47 cents profit on your $1 bet
Step-by-step explanation:
19(1/38) + (-1)(37/38) = -0.4736
This has to be D.
All you do is plug -2 as x and solve
Hope this helps!
Answer:
The actual cost incurred in manufacturing:
- the 111st oven is $114.07
- the 221st oven is 122.71
- the 311st oven is $140.59
The marginal cost when x = 110, 220, and 310 is



Step-by-step explanation:
We know that the daily cost function of producing microwave ovens is given by

(a) The actual cost incurred in manufacturing the 111st oven is the difference between the total cost incurred in manufacturing the first 111 ovens and the total cost of manufacturing the first 110 ovens:
![C(111)-C(110)=[0.0002(111)^3 - 0.06(111)^2 + 120(111) + 5000]-[0.0002(110)^3 - 0.06(110)^2 + 120(110) + 5000]\\\\C(111)-C(110)=17854.27-17740.2\\\\C(111)-C(110)=114.07](https://tex.z-dn.net/?f=C%28111%29-C%28110%29%3D%5B0.0002%28111%29%5E3%20-%200.06%28111%29%5E2%20%2B%20120%28111%29%20%2B%205000%5D-%5B0.0002%28110%29%5E3%20-%200.06%28110%29%5E2%20%2B%20120%28110%29%20%2B%205000%5D%5C%5C%5C%5CC%28111%29-C%28110%29%3D17854.27-17740.2%5C%5C%5C%5CC%28111%29-C%28110%29%3D114.07)
For the 221st
![C(221)-C(220)=[0.0002(221)^3 - 0.06(221)^2 + 120(221) + 5000]-[0.0002(220)^3 - 0.06(220)^2 + 120(220) + 5000]\\\\C(221)-C(220)=30748.31-30625.6\\\\C(221)-C(220)=122.71](https://tex.z-dn.net/?f=C%28221%29-C%28220%29%3D%5B0.0002%28221%29%5E3%20-%200.06%28221%29%5E2%20%2B%20120%28221%29%20%2B%205000%5D-%5B0.0002%28220%29%5E3%20-%200.06%28220%29%5E2%20%2B%20120%28220%29%20%2B%205000%5D%5C%5C%5C%5CC%28221%29-C%28220%29%3D30748.31-30625.6%5C%5C%5C%5CC%28221%29-C%28220%29%3D122.71)
For the 311st
![C(311)-C(310)=[0.0002(311)^3 - 0.06(311)^2 + 120(311) + 5000]-[0.0002(310)^3 - 0.06(310)^2 + 120(310) + 5000]\\\\C(311)-C(310)=42532.79-42392.2\\\\C(311)-C(310)=140.59](https://tex.z-dn.net/?f=C%28311%29-C%28310%29%3D%5B0.0002%28311%29%5E3%20-%200.06%28311%29%5E2%20%2B%20120%28311%29%20%2B%205000%5D-%5B0.0002%28310%29%5E3%20-%200.06%28310%29%5E2%20%2B%20120%28310%29%20%2B%205000%5D%5C%5C%5C%5CC%28311%29-C%28310%29%3D42532.79-42392.2%5C%5C%5C%5CC%28311%29-C%28310%29%3D140.59)
(b) If C(x) is a total cost function, then the marginal cost function is defined to be its derivative C'(x).
We need to find the derivative of the total cost function:

The marginal cost when x = 110, 220, and 310 is given by



Answer:
y= 2x/5 - 34/5
Step-by-step explanation:
y=mx + b
here slope , m=2/5 , y= -4 x=7
then -4 = 7(2)/5 +b
-4 = 14/5 + b
b= -34/5
hence the equation is y= 2x/5 - 34/5
Step-by-step explanation:
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