To avoid a service fee, your checking account balance must be at least $500 at the end of each month. your current balance is $529.57. you use your debit card to spend $126.08. what possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?

$96.51

Step-by-step explanation:

529.57 - 126.08 = 403.49

500 - 403.49 = 96.51

The possible amount you deposit into your account by the ed of the month to avoid paying the service fee would be $96.51

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

true

step-by-step explanation: