Multiply 17(number of students) and 17(amount he’s spending on each student)
So 17x17=289
Then subtract what he used which is 97.41
So 289-97.41= 191.59
He has $191.59 left
For this case we have that by definition, the volume of a cylinder is given by:

Where:
A: It is the radius of the cylinder
h: It's the height
We have according to the data that:

Substituting in the equation we have:

ANswer:

Complement angles equal to 90.
So,
90-60 = 30
So the angle complement to 60 is 30.
Hope that helps:)
Answer:
vertical asymptote at x=2 and x=-1
Step-by-step explanation:

To find out vertical asymptote we set the denominator =0 and solve for x

now factor left hand side
find out two factors whose product is -2 and sum is -1
-2 times 1 = -2
-2+1 = -1
(x-2)(x+1) =0
x-2 =0 so x= 2
x+1 =0 so x=-1
vertical asymptote at x=2 and x=-1
Answer:

Step-by-step explanation:
Let r represent speed in the carpool.
We have been given that on the way to work Juan carpools with a fellow co-worker then takes the city bus back home in the evening. The average speed of the 20-mile trip is 5 miles per hour faster in the carpool.
We know that time is equal to distance over speed.
The total distance is 20 mile. Time taken to travel 20 miles using carpool would be 
The speed on the bus is 5 miles greater, so it will be
. Time taken to travel 20 miles using bus would be 
Total time will be equal to sum of both times that is:

Let us simplify our expression.


Combine numerator:


Therefore, our required expression would be
.