Sarah invested $3,800 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 15 years?

a 6500

Step-by-step explanation:

A

=

P

(

1

+

r

n

)

n

t

A=P(1+

n

r

)

nt

Compound interest formula

P

=

3800

r

=

0.036

t

=

15

n

=

365

P=3800r=0.036t=15n=365

Given values

A

=

3800

(

1

+

0.036

365

)

365

(

15

)

A=3800(1+

365

0.036

)

365(15)

Plug in values

A

=

3800

(

1.0000986301

)

5475

A=3800(1.0000986301)

5475

Simplify

A

=

6520.65243954

A=6520.65243954

Use calculator

A

≈

6500

A≈6500

Round to nearest hundred

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.

which expression represents the approximate length of bc?

step-by-step explanation: