Answer:
b. x + 1
Step-by-step explanation:
x¹⁶ − x¹⁴ = k (x¹⁵ − x¹⁴)
x¹⁴ (x² − 1) = k x¹⁴ (x − 1)
x² − 1 = k (x − 1)
(x − 1) (x + 1) = k (x − 1)
x + 1 = k
Answer:
The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Step-by-step explanation:
This is a optimization with restrictions problem.
The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).
This restriction can be expressed as:
being x: the side of the square of the cross section and L: length of the package.
The volume, that we want to maximize, is:
If we express L in function of x using the restriction equation, we get:
We replace L in the volume formula and we get
To maximize the volume we derive and equal to 0
We can replace x to calculate L:
The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Isnt it 33 ////??? thats what i got.
Answer:
1. Markup: $2.70, Retail: $20.70
2. Markup: $9.45, Retail: $31.95
3. Markup: $25.31, Retail: $59.00
4. Markup: $24.75, Retail: $99.74
5. Markup: $48.60, Retail: $97.20
6. Markup: $231.25, Retail: $416.25
Step-by-step explanation:
To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.
$18 * 0.15 = $2.70
So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.
$18 + $2.70 = $20.70
So your retail price is $20.70. Repeat these steps for each question to get the answers above.
Hope this helps.
Answer:
$839.95
Step-by-step explanation:
Sales tax = 7 % × cost
Sales tax = 0.07 × 785
Sales tax = $54.95
=====
Cost = price + sales tax
Cost = 785 + 54.95
Cost = $839.95
The cost to purchase is $839.95.
