Answer:
$7,000 at a rate of 7% and $21,000 at a rate of 14%.
Step-by-step explanation:
Let x be amount invested at 7% and y be amount invested at 14%.
We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

The interest earned at 7% in one year would be
and interest earned at 14% in one year would be
.
We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

Form equation (1), we will get:

Upon substituting this value in equation (2), we will get:







Therefore, an amount of $21,000 was invested at a rate of 14%.



Therefore, an amount of $7,000 was invested at a rate of 14%.
Answer:
2/8, 4,16
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector
is a linear combination of
and
if there are two scalars
such as

In our case, all the vectors are given in
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have

We set the equation

Multiplying both scalars by the vectors

Equating each coordinate, we get



Adding the first and the third equations:


Replacing in the first equation



We must test if those values make the second equation become an identity

The second equation complies with the values of
and
, so the solution is

Answer:
Decreasing, negative slope
Step-by-step explanation:
Bc the slope is -2x in this equation therefore its a negative slope.
Answer:
X=-4
Step-by-step explanation: