An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $3160 and her stock in Company B was worth $5800. The stock in Company A has increased 20% since last year and the stock in Company B has increased 4%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

109.6%

Step-by-step explanation:

Last year:

Company A stock + Company B stock = total amount of stock:  

$3160 + $5800 = $8960

This year:  

Company A stock: $3160 + ($3160*0.20) = $3792  

Company B stock: $5800 + (5800*0.04) = $6032  

Company A stock + Company B stock = total amount of stock:  

$3792 + $6032 = $9824

Total amount of increase from last year:

(9824/8960)*100 = 109.6 percent

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:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8