Apeanut manufacturing company pays $0.01 per square inch of label used on its cylindrical peanut containers. each container has a radius of 1.5 inches and a height of 3 inches. if the label covers the lateral area of the container, how much would it cost to produce 400,000 labels?
a.$4,000
b.$18,000
c.$84,823
d.$113,040

D.$113,040

Step-by-step explanation:

We are given that

Radius of cylindrical container=1.5 in

Height of cylindrical container=3 in

Cost of 1 square inch of label=$0.01

We have to find the cost to  produce 400,000 labels.

We know that lateral surface area of cylinder=

Substitute the values in the given formula

Lateral surface area of cylindrical container=

Cost of 28.26 square inches of label= $0.2826

Cost of 400,000 labels=$113,040

D.$113,040

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: