Gym A: $10 joining fee and $20 monthly fee. Gym B: $25 joining fee and $5 monthly fee.
Enter the number of months it will take for the total cost for both gyms to be equal.

1 month

Step-by-step explanation:

gym As total for the first month is $30. (joining fee plus monthly fee)

gym bs total for the first month is also $30. (joining fee plus monthly fee)

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this