Grayson charges $35 per hour plus a $35 administration fee for tax preparation. ian charges $45 per hour plus a $15 administration fee. if h represents the number of hours of tax preparation, for what number of hours does grayson charge more than ian?
h less-than 2
h greater-than 2
h less-than 5
h greater-than 5

h less-than 2

Step-by-step explanation:

Let

h ---> the number of hours

y ---> the total charge in dollars

we know that

The linear equation is slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

we have

Grayson

The slope is equal to

The y-intercept is

so

The total charge is equal to

----> equation A

Ian

The slope is equal to

The y-intercept is

so

The total charge is equal to

----> equation B

For what number of hours does Grayson charge more than Ian?

The inequality that represent this situation is

solve for x

Group terms

Divide by 10 both sides

Rewrite the expression

----> h less than 2 hours

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

answer: okw

step-by-step explanation: