When would Casey pay the same amount to be a member of either gym? How much would he pay?

After 6 Months Casey would have paid $450 at either gym.

Step-by-step explanation:

Since we're looking for these two gyms cost the same, we need to make the equation compare the two together:

35x + 240 = 75x (the 1st gym with a joining fee $240 and 35 monthly equals $75 monthly)

Subtract 35x from both sides:

35x - 35x + 240 = 75x - 35x

240 = 40x

Divide by 40:

240 / 40 = 6

6 = x

So they cost the same after 6 months

35 * 6+ 240 = 75 * 6

450 = 450

And you'll be spending $450 in total.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

the forst and 3rd

step-by-step explanation: