Cal johnson compares his checkbook register, cancelled checks, and bank statement which shows a balance of $325. he finds two outstanding checks for $53.58 and $20.24. there is also an outstanding deposit of $62. what is his adjusted balance?

$189.17
$313.18
$336.82
$460.82

$313.18.

Step-by-step explanation:

Given : Cal Johnson has an account balance of $325.

          He finds two outstanding checks for amount $53.58 and $20.24.

           There is also an outstanding deposit of $62

Solution : Cal Johnson has an account balance of $325.

Since he has outstanding checks of amount $53.58 and $20.24.

When his outstanding checks amount gets deducted from the account then the new account balance will be :

$325 - $53.58 - $20.24 = $251.18

So, after the deduction of outstanding check amounts new account balance is $251.18.

Now, there is also an outstanding deposit of amount $62

So, after the deposition of that amount new account balance will be :$251.18 + $62 = $313.18.

Thus the adjusted account balance is $313.18.

step-by-step explanation:

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.