Your answer is negative 32.24.
Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n
Answer: an=23+4n
For this case we have that by definition, the volume of a rectangular prism is given by:

Where:
It is the area of the base
h: It's the height
According to the data we have:


Then:

Thus, the volume is:

Answer:

Y = 10x + 35
if y is cost per occupant and x is occupants, then we can read the equation as such:
Cost is equal to 10 times number of occupants plus a 35$ fee
10 times the number of occupants is the part we are worried about
The cost increases by 10$ for every occupant
Find the circumference of the puck using circumference = pi x diameter
Circumference = 3.14 x 3 = 9.42 inches.
For every rotation the puck would travel 9.42 inches.
Now multiply y by 24 rotations:
9.42 x 24 = 226.08 inches.
Answer: 226.08 inches