The loan given in the table was paid off early. Find the unearned interest by (a) the actuarial method, and (b) the rule of 78. Amount
Remaining Number
Total Number
Regular
Monthly
Financed
of Payments
of Scheduled
Payments Scheduled
Payments After
Payoff
$29,700 $647.26
12
60
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(a) The unearned interest calculated using the actuarial method is $
(Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)
(b) The unearned interest calculated using the rule of 78 is $
(Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)
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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.

the answer is 99.

the translated point is (5,2)