Unsure how your teacher wants the table to be filled out, but the solution is about 1.62.
Determine if the given statement is sometimes, always, or never true:
1 answer:
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<h3>Philipe has to make a weekly sales of $ 3000 so that he can earn $ 360</h3>
<em><u>Solution:</u></em>
Given that,
Philipe works for a computer store that pays a 12% commission and no salary
We have to find his weekly sales have to be for him to earn $360
From given, we can say,
12 % of weekly sales will earn him $ 360
12 % of weekly sales = 360
Let "x" be the weekly sales
12 % of "x" = 360
Solve the above expression
Thus Philipe has to make a weekly sales of $ 3000 so that he can earn $ 360
Answer: (A)
(B) Length varies between 1 and 150
(C) Largest area is 22500ft²
Step-by-step explanation: Suppose length is l and width is w.
The rectangular garden has perimeter of 600ft, which is mathematically represented as
Area of a rectangle is calculated as
Now, we have a system of equations:
Isolate w, so we have l:
w = 300 - l
Substitute in the area equation:
A = l(300 - l)
A = 300l - l²
(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>
(B) The practical domain for this function is values between 1 and 150.
(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:
A' = 300 - 2l
Find the values of l when A'=0:
300 - 2l = 0
2l = 300
l = 150
Replace l in the equation:
w = 300 - 150
w = 150
Now, calculate the largest area:
A = 150*150
A = 22500
<u>The largest area the fence can enclose is </u><u>22500ft².</u>