The surface area of each of your designs is . So dimensions (in inches) of 4 different plastic shipping containers that would fit the boxes exactly is a cube of side 9 inches.
<u>Step-by-step explanation:</u>
Here we have , Olivia has to design a plastic shipping container that will hold 12 basketballs in individual boxes. The basketballs have a radius of 4.5 inches and fit exactly in their individual boxes that are cubes. Give the dimensions (in inches) of 4 different plastic shipping containers that would fit the boxes exactly. Two containers with the same dimensions in a different order do not count as different containers. Basketball is in form of sphere who's radius is 4.5 inches , also it's inscribed in cubes or boxes perfectly . In this case:
Side of a cube = 2(radius of sphere) = 2(4.5) = 9 in
We know that , surface area of a cube is .
⇒
Therefore, the surface area of each of your designs is .
Answer:
- 8
Step-by-step explanation:
Given
(3x² - 5)(4 + 4x²)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(4 + 4x²) - 5 (4 + 4x²) ← distribute both parenthesis
= 12x² + 12 - 20 - 20x² ← collect like terms
= 12 - 8x² - 20
The coefficient of the x² term is - 8
Given:
To Find: Which payment option to recommend to a new employee.
Solution: I would recommend being a salaried employee.
Explanation:
We begin by calculating the typical number of hours worked per week.
Adding up the hours from the table, we have .
The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.
So, the payment for 47 hours of work per week will be dollars.
As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be . That is, an hourly employee would earn $68276.
On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.
Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.
Answer:
in units: 18,900
in dollars: $ 41,013
Step-by-step explanation:
The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:
Where:
<em><u>Contribution margin:</u></em>
2.17 - 1.27 = 1 dollar per unit
Break even:
$18,900 fixed cost / $1 per unit = 18,900 units
Then, in sales:
18,900 x $2.17 each = 41.013
break even point: