Alocal telephone company offers a long-distance telephone plan that charges $5.25 per month and $0.08 per minute of calling time. this expression 0.08t +5.25 represents the monthly long-distance bill for a customer who takes t minutes (min) of long-distance calls on this plan. find the monthly bill for a customer who makes 173 min of long-distance calls on this plan.

$19.09

Step-by-step explanation:

We just have to substitute t(minutes) for 173

0.08(173) + 5.25

13.84 + 5.25 = 19.09

His monthly bill would be $19.09

Nineteen dollars and 9 cents

A local telephone company offers a long-distance telephone plan that charges $5.25 per month and $0.08 per minute of calling time. This expression 0.08t +5.25 represents the monthly long-distance bill for a customer who takes t minutes (min) of long-distance calls on this plan. Find the monthly bill for a customer who makes 173 min of long-distance calls on this plan.

t = 173 min

monthly bill = 0.08t +5.25 = 0.08 x 173 + 5.25 = 13.84 + 5.25 = $19.09

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