Answer:
D: 12
Step-by-step explanation:
The range is the difference between the largest value in the date minus the smallest value in the data.
In this set of numbers given, the largest value is 12 and the smallest value is 0
so: 12-0 = 12
The range of this data is 12
Increasing 50 by x% can be written as:
.................(1)
Decreasing 70 by x % can be represented by the expression:
...........(2)
Now we are given in the question that if we increase 50 by x% and 70 by x%, then the two values are equal.
so equating (1) and (2) , we get
bringing 0.01x to the left side:
taking 50 to the right side, subtracting it from 70
dividing both sides by 0.02
Answer x=2000
The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.
y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.
9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...
When x = 25.3333..., y = 775.33333.....
To the nearest cent, x=25.33 results in a profit of 775.33.
When x=25.25, Y = 775.31
When x=25.4, Y = 775.32
These are both less than 775.33 when x = 25.33.
2 digit prime odd number-17. 2 digit composite-9.
