Suppose a family has a gross annual income of $39,600.
a. what is the maximum amount the family should spend each month on a mortgage payment?
b. what is the maximum amount the family should spend each month for total credit obligations?
c. if the family's monthly mortgage payment is 70% of the maximum they can afford, what is the maximum amount they should spend each month for all other debt?

gross annual income: 39,600

gross monthly income: 39,600 / 12 = 3,300

a) maximum amount for monthly mortgage payment: 3,300 x 28% = 924

b) maximum amount for total credit obligations: 3,300 x 36% = 1,188

c) mortgage: 924 x 70% = 646.80 actual mortgage

1,188 - 646.80 = 541.20 maximum amount they could spend each month for all other debts.

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

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!