Calculate the monthly payment for a 5-year car loan of $23,570 at 10. 43% interest, compounded monthly. A. $247. 44 b. $337. 56 c. $433. 88 d. $505. 79 Please select the best answer from the choices provided A B C D.

  d.  $505.79

Step-by-step explanation:

The payment amount is given by the amortization formula:

  A = P(i/12)/(1 -(1 +i/12)^(-12t))

A is the monthly payment, P is the principal value of the loan, i is the annula interest rate, and t is the number of years.

For this loan, we have ...

  P = $23,570

  i = 0.1043 . . . . . percentage expressed as a decimal

  t = 5

So the monthly payment is calculated to be ...

  A = $23,570(0.1043/12)/(1 -(1 +0.1043/12)^(-12·5))

  A ≈ $204.8626/(1 -1.00869167^-60) = $204.8626/(1 -0.5949686)

  A ≈ $505.7943 ≈ $505.79

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

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.