Answer:
Price for Senior Citizen = $7.61
Percent of the regular price = 85% off original
Step-by-step explanation:
Regular Price is $8.95
Seniors get 15% off of that. So, first we need to find 15% of 8.95 and then subtract it from 8.95.
To get percentage of a number, we first convert the percentage to decimal (by dividing by 100) and then multiply it with the number.
15% = 15/100 = 0.15
Fifteen Percent of 8.95 is:
0.15 * 8.95 = $1.3425
Senior Citizen Price = 8.95 - 1.3425 = $7.6075
Rounded to nearest cent = $7.61
How much is this as a percentage of original?
Simple, it is 15% off of the regular price, so this price is 100 - 15 = 85% of original price
In the given diagram, the value of the dashed side of rhombus OABC is 5
<h3>Distance between two points </h3>
From the question, we are to determine the length of the dashed line (OA), in rhombus OABC
In the diagram, we can observe that the length of OA is the distance between point A and the origin (O).
Using the formula for calculating distance between two points,
d =√[(x₂-x₁)² + (y₂-y₁)²]
In the diagram,
The coordinate of the origin is (0, 0)
The coordinate of point A is (3, 4)
Thus,
x₁ = 0
x₂ = 3
y₁ = 0
y₂ = 4
Putting the parameters into the formula, we get
OA =√[(3-0)² + (4-0)²]
OA =√(3² + 4²)
OA =√(9+16)
∴ OA =√25
OA = 5
Hence, in the given diagram, the value of the dashed side of rhombus OABC is 5
Learn more on Distance between two points here: brainly.com/question/24778489
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The Profit = Revenue - CostP ( x ) = ( 40 x - 0.5 x² ) - ( 5 x + 15 ) = = 40 x - 0.5 x² - 5 x - 15 = - 0.5 x² + 35 x - 15The maximum profit is when: P`( x ) = 0P ` ( x ) = ( - 0.5 x² + 35 x - 15 ) ` = - x + 35- x + 35 = 0x = 35 ( the number of units )P max = - 0.5 · 35² + 35 · 35 - 15 = - 612.5 + 1225 - 15 = 597.5Answer: The maximum profit is 597.5 and the number of units is 35.
Answer:
Stuck In same question Jinx
Step-by-step explanation:
<span>The formula to the solution is as follows:
x = amount spent per person
d = drink
p = popcorn and
vc = veggie cup
this makes
(p+vc)/2 = they shared the poppcorn and the veggie cup and thus the sum musst be divided by the amount of sharing people which is two.
=> x = d + (p+vc)/2
And since there is no money mentioned for the movies (m) it is teh formula above.
If you would like to consider that costs too it would be:
x = m + d + (p+vc)/2</span>
