Step 1. Simplify 
to 
Step 2. <span>Simplify
</span>
<span>
Done! Your answer is </span>
Step 2. <span>Simplify
</span>
<span>
Done! Your answer is </span>
Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on?
2 answers:
Answer:
Option B: 1.15($45) is the correct answer.
Step-by-step explanation:
Given that:
Total amount of restaurant bill = $45
Tip = 15%
As the bill would be 100% and a 15% tip will be added.
Thus total bill,
Total bill = (100+15)% = 115% of restaurant bill
Total bill =
Total bill = 1.15($45)
Hence,
Option B: 1.15($45) is the correct answer.
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I’m not great at explaining but I hope with the way I did the work explains.
Answer:
100m by 50m.
Step-by-step explanation:
Let the dimension of the rectangular pen be x and y
Area, A(x,y)=xy
Let the side opposite her barn = x
Since she wants to fence only three side
Perimeter = x+2y
Length of Fencing Available = 200m
Therefore:
We want to maximize the area of the pen, A(x,y).
Substituting x=200-2y into A(x,y)=xy
To maximize A(y), we find its derivative and solve for the critical points.
To ensure that this is a maximum, we use the second derivative test.
This is negative and thus, y=50 is a maximum point.
Recall:
x=200-2y
x=200-2(50)
x=200-100
x=100m
Therefore, the dimensions of the pen that has the largest area are 100m by 50m.