Your fixed expenses are $1,151.65/month. you saved 4 months' worth in an emergency fund, investing 25% in a savings account at a 3.3% apr and the rest in a 60-day cd at a 4.3% apr. how much total interest accrues over 60 days?
$41.04
$43.38
$30.67
$32.23

Option c is correct. $30.67

Step-by-step explanation:

Your monthly fixed expenses are = $1,151.65

You save for 4 months' = 1,151.65 × 4 = $4,606.60

You invested this amount in two accounts.

In savings account = 25% of 4,606.60 = 0.25 × 4,606.60 = $1,151.65

$1,151.65 invested in savings account at 3.3% APR.

Now we calculate the interest of the savings account. In the question given rate 3.3% is annually. We find out only for 60 days.

= 1,151.65 × 0.033 ×

= 38.00445 ×

= 6.24730 rounded to $6.25

Total interest for 60 days in savings account is $6.25

First we calculate the Rest amount = 4,606.60 - 1,151.65 = $3,454.95

This amount is invested in CD at 4.3% APR.

Now we calculate the interest of the CD. Here interest rate 4.3%  is for a year and we find out only for 60 days.

= 3,454.95 × 0.043 ×

= 1,48.56285 ×

= $24.42

Total interest for 60 days in CD is $24.42

Total interest accrues over 60 days

24.42 + 6.25 = $30.67

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.

there is no question content here, but you for the free points! : d