Answer:
a) 
b) 
c)
Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):
This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:
Now, we differentiate the profit function to get the marginal profit function (P'):
This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:
and
Answer:
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Step-by-step explanation:
an acute angle is an angle less than 90 degrees
an obtuse angle is an angle more than 90 degrees
a right angle is an angle equivalent to 90 degrees (looks like two straight lines perpendicular)
a straight angle is an angle equivalent to 180 degrees (looks like a straight line)
a reflex angle is an angle greater than 180 degrees
so, ...
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Answer:
a = 180 - 92 - 27=61
b = 92 + 27= 119
Step-by-step explanation:
Take 2 points: (0, 70) (30, 80)
SLOPE FORMULA: y2 -y1 / x2 - x1
y2 - y1: 80 - 70 = 10
x2 - x1: 30-0 = 30
10 / 30
simplify: 1/3
This is a PROPER FRACTION
Earnings for 40 years without college are $30,000*40=$1,200,000
With college education you will earn $1,200,000*0.3=$360,000 more.
Answer: d)
