Answer:
(a) P(x) = 300 x - 3600
(b) P(340) = $ 98400
(c) At least 12 items must be sold to avoid losing money.
Step-by-step explanation:
Part (a):
The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:
P(x) = R(x) - C(x)
P(x) = 384 x - [84 x + 3600]
P(x) = 384 x - 84 x - 3600
P(x) = 300 x - 3600
Part (b):
The profit on 340 items is:
P(340) = 300 (340) - 3600
P(340) = 102000 - 3600
P(340) = $ 98400
Part (c):
To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:
P(x) 
0
300 x -3600 0
300 x 3600
x 3600/300
x 12
So at least 12 items must be sold to avoid losing money.
Answer:
2) 70,000
Step-by-step explanation:
since they have said estimate meaning frist round off
679 rounds up to 700 and 98 rounds up to 100
700×100
70000
Answer:
118°
Step-by-step explanation:
Line b is a perpendicular bisector so 90°+28°=118°
Answer:
The greatest number of rows that can be planted, and have nothing left over, would be 3
Step-by-step explanation:
Find the greatest common factor (gcf) of 15 and 9
15: 1 3 5 15
9: 1 3 9
In this case, the gcf of 15 and 9 would be 3.
Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
