Answer:
A x =30
Step-by-step explanation:
(y+x) and (y-x) make a straight line so they add to 180 degrees
(y+x) + (y-x) = 180
Combine like terms
y+y+x-x=180
2y=180
Divide by 2
2y/2 = 180/2
y= 90
(y+x) and 2x make a straight line so they add to 180 degrees
y+x+2x = 180
Combine like terms
y+3x = 180
Since we know y we can substitute it in
90+3x = 180
Subtract 90 from each side
90-90+3x= 180-90
3x = 90
Divide by 3
3x/3 = 90/3
x= 30
Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

We get:

So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
is positive when the x < 0 (for example: -6*(-1)=+)
is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function. 
local maximum is (0,5)
Answer:
Take deep breaths and focus, don't be afraid to ask for help.
Good luck!
Answer: 11.5%
Explanation:Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:

where

So, the z-score of 720 seconds is given by:

Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

Hence, there is
11.5% chance that the auditor will spend more than 12 minutes in an invoice.
Answer: $13,846.02
Step-by-step explanation:
The car cost $29,750 when it was first bought.
It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.
To find the value of the car in the 6th year, you can use the compound interest formula:
= Value of car * ( 1 - rate) ^ no. of years
= 29,750 * ( 1 - 12%)⁶
= 13,816.021581824
= $13,846.02