Answer:
The amount invested in bonds = 35,000
The amount invested in CD = 15,000.
Step-by-step explanation:
The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds , and the amount invested in CD
, then we have:
this says the total amount Daniela invested is $50,000.
And since the amount invested in bonds is $5,000 more than twice the amount Daniela put into the CD, we have:
.
Thus, we have two equations and two unknowns and
:
(1).
(2). ,
and we solve this system by substituting from the second equation into the first:
or, the amount invested in CD is $15,000.
With the value of in hand, we now solve for
from equation(2):
or, the amount invested in bonds is $35,000.
see the attached figure to better understand the problem
we know that
1) If angle 1 and angle 2 are complementary angles
then
m∠1+m∠2= ------> equation A
2) If angle 1 and angle 2 are congruent angles
then
m∠1=m∠2 ------> equation B
Substitute equation B in equation A
m∠1+(m∠1)=
2m∠1=
m∠1=
therefore
<u>the answer is</u>
