the equation would be x-12=20.
the solution would be x=8.
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:
The correct option is;
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1, Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded
Step-by-step explanation:
The inequality representing the first line is y ≥ -1
The inequality representing the second line is y > x + 4
Therefore, the first line is a solid horizontal line with the shaded region above the line
The second line is a line with a broken line with positive slope slope with the shaded region being above the line and to the left
<span>There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20 </span>
There are 96 possible combinations.
The fundamental counting principle states that the number of total options is given by multiplying the number of possibilities for each option, or
Total choices = choices x choices x ...
4*3*8 = 96
