In a production of Romeo and Juliet, eight actors
1 answer:
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Answer:
150 oz.
Step-by-step explanation:
There are already 150 ounces of alloy of nickel.
Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz
Now available is
Nickel Other metals
105 45
Let x oz of pure nickel is added.
Then new alloy will have 105+x oz nickel in total of 150+x oz.
Percentage pure =
Simplify to get
Hence answer is 150 oz should be added.
Answer:
In the long run cost of the refrigerator g(x) will be cheaper.
Step-by-step explanation:
The average annual cost for owning two different refrigerators for x years is given by two functions
f(x) =
=
and g(x) =
=
If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.
At x = 1 year
f(1) = 850 + 62 = $912
g(1) = 1004 + 51 = $1055
So initially f(x) will be cheaper.
For f(x) = g(x)
=
x =
Now f(15) = 56.67 + 62 = $118.67
and g(x) = 66.93 + 51 = $117.93
So g(x) will be cheaper than f(x) after 14 years.
This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).