Answer:
A. $27.23
B. $467.77
Step-by-step explanation:
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
Salesperson commission = 5 1/2%
Price of couch = $495
A. Amount earned by the salesperson = 5 1/2% of $495
= 5.5% × 495
= 0.055 × 495
= 27.225
Approximately
Amount earned by the salesperson = $27.23
B.How much money will the store get from the sale of the couch?
Amount the store get = Total price - amount earned by salesperson
= $495 - $27.23
= $467.77
Formula for volume = length × width × height
21 * 7 = 147
9 1/3 = 28/3
147 * 28 /3 = 4116/3
Simplify :
4116/3 = 1372
Volume = 1372 cm³.
Hope this helped☺☺
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
