Mr. murphey is saving money for a trip. He deposits $2000 into an account that offers a 3% yearly simple-interest rate. He plans to leave the money in the account for 4years 6months. How much will be mr. Murphy’s account valence after 4 years 6 months

$2270

Step-by-step explanation:

4years and 6 months are 4.5 years.

4.5(2000 × 3/100)

Interest = $270

Balance = 270 + 2000 = $2270

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.

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.