Answer:
The cost of extracting the first 50 tons of copper is $151,000.
Step-by-step explanation:
Start-up costs of $150,000.
For the 50 tons of cooper.
So
1 thousand dollars.
So
$150,000 + $1,000 = $151,000
The cost of extracting the first 50 tons of copper is $151,000.
The slope of the tangent line to the curve at (8, 2) is given by the derivative at that point. By the chain rule,
Differentiate the given parametric equations with respect to :
Then
We have and
when
, so the slope at the given point is
.
The normal line to the same point is perpendicular to the tangent line, so its slope is +4. Then using the point-slope formula for a line, the normal line has equation
Alternatively, we can eliminate the parameter and express explicitly in terms of
:
Then the slope of the tangent line is
At , the slope is again
, so the normal has slope +4, and so on.
We know that there are 36 number cards and 16 face cards in standard deck of 52 cards. Now choose two cards without replacement from 52 cards.
The number of ways of choosing any 2 cards without replacement from 52 cards is
.
The number of ways of choosing 2 number cards without replacement from 36 cards is
.
The required probability is
Correct choice is (A).