Which of the following modifications to the list of assets and liabilities below would result in a positive net worth? home owned $105,000. mortgage owed $100,000. car valued at $26,000. car loan of $22,000. investment fund of $4,500. savings of $1,500. credit card balance of $15,000. a. lowering mortgage by $1,000. b. increasing investment fund by $500. c. adding $100 to savings. d. all of the above.

Assets here are : Home owned worth $105000, car owned worth $26000 , Investment fund worth $4500 and savings worth $1500

Liabilities are : mortgage owed worth $100000, car loan worth 22000 and credit card balance worth $15000

A positive net worth comes when total assets minus total liabilities are positive i.e more than zero.

Current net worth as per given scenario is :

= (This gives zero net worth)

Checking option 1 - Lowering mortgage by $1000 , we get 137000-136000 = $ 1000 (positive net worth)

Checking option 2 - Increasing investment fund by $500 , we get 137500-137000 = $500 (positive net worth)

Checking option 3 - c. Adding $100 to savings , we get 137100-137000 = $100 (positive net worth)

Hence, all the options are correct.

D is the correct answer.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.