Mikes fitness center charges $30 per month for a membership. all-day fitness club charges $22 per month plus an $80 initiation fee for a membership. after how many months will the total amount paid to the two fitness clubs be the same?

The number of months after which amount paid to two fitness clubs be the same is 10

Step-by-step explanation:

Given as :

The charge of Mikes fitness center = $30 per month fro membership

The charge of All-Day fitness center= $22 per month fro membership + $80            

                                                               initiation charge

Let The number of months after which amount paid to each club be same = x

So, According to question :

30 x = 22 x + 80

Or, 30 x - 22 x = 80

Or, 8 x = 80

So     x =

∴       x = 10

Hence The number of months after which amount paid to two fitness clubs be the same is 10    Answer

y = x + 95

y = 42 + 95

y=137 mm hg

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.