Answer:
9.50h ≤ 460
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
The value of x is 2.5.
The price of the cake should be 25 - 2.5 = 22.5.
Thus, the price of the cake that will give the maximum potential revenue is $22.5.
Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,
where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation
A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.
Hence, The beam hit dolphin at 5 feet.
Answer:
Step-by-step explanation:
Matching each vocabulary word with its corresponding example:
(1). All Americans = f. Population (a group of items, units or subjects under reference of study e.g. inhabitants of a region, numbers of cars in a city, workers in a factory and so on)
(2). The proportion of all Americans who strongly agree that prisoners with life sentences who have Alzheimer's should be released = c. Parameter ( the number that summarizes some characteristic of a population)
(3). The proportion of the 85 Americans surveyed who strongly agree that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the sample characteristic corresponding to a population parameter used when a sample is used to make statistical inference about a population)
(4). The answer-Strongly Agree' or 'Agree, or Disagree, or Strongly Disagree = b. Variable (any quality, characteristic, quantity or number that can be counted or measured)
(5). The 85 Americans who participated in the survey = e. Sample (a part or fraction of a population selected on some basis)
(6). The list of answers that the 85 Americans gave = a. Data (the pieces of information collected to be used for the analysis)
