Answer:
19600
Step-by-step explanation:
For every year the profit increases by 40% so to figure out the profit from 2017 to 2018 you do 10,000*1.4 to and get 14,000. To get 2019's profit you do the same process, but use 2018's profit of 14,000 instead of 2017's profit to get 19,600.
Answer:
The solution is: (2, -1)
Step-by-step explanation:
First we rewrite the second system equation
→ 
Now we have the following system of equations:
To solve the system multiply the first equation by -3 and add it to the second equation
--------------------------------------
Now we substitute the value of y in the first equation and solve for x
The solution is: (2, -1)
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
Answer:
A’ (6,-2)
B’ (1,3)
Step-by-step explanation:
Here, we want to give the coordinates after a counterclockwise rotation of 90 degrees
Given a point with coordinates (x,y)
A counterclockwise rotation at 90 degrees to the origin will yield the coordinates (-y,x)
So A (-2,-6) will be A’ (6,-2) while B (3,-1) will be B’ (1,3)
