Answer:
a) $109
b) 
c) 
Step-by-step explanation:
a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:

b) Profit is given by Revenue minus Cost:

c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:

Answer:
the median is 15
Explanation:
you can find the median by arranging the numbers from smallest to largest and finding the number in the middle.
5 14 15 <u>15</u> 16 17 18
in this case, the number in the middle is 15 so the median for this data set is 15.
i hope this helps! :D
Answer:
Future Value= $112.72
Step-by-step explanation:
Giving the following information:
Initial deposit (PV)= $100
Number of periods (n)= 2*12= 24 months
Interest rate (i)= 0.06/12= 0.005
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 100*(1.005^24)
FV= $112.72
<h3>
Answer: 35 (choice C)</h3>
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
- D = 7b+1 = 7*17+1 = 119+1 = 120
- E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
- F = b+8 = 17+8 = 25
As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
Answer:
5
Step-by-step explanation: