Answer:
Angular velocity: 
(
)
Linear velocity: 
(
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (
), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that 
and 
, then the linear and angular velocities of the gear are, respectively:
()
()
-3.78 the opposite of a positive number will always be the negative version of that same number.
Answer:
Levi must sell more than 80000 cars per month for the new job to be better than the current job.
Step-by-step explanation:
New Job;
He receives $800 per month plus a commission of 2% or 0.02 of the total price of the cars.
Now, let the total amount he receives in a month be "y" and let the amount of cars sold be x.
Thus;
y = 800 + 0.02x - - - -(eq1)
Current Job:
He receives $1200 per month plus a commission of 1.5% or 0.015 of his total sales.
Thus;
y = 1200 + 0.015x - - - (eq2)
Substituting 800 + 0.02x for y into eq(2) gives;
800 + 0.02x = 1200 + 0.015x
0.02x - 0.015x = 1200 - 800
0.005x = 400
x = 400/0.005
x = 80000
This means Levi must sell more than 80000 cars per month for the new job to be better than the current job.
