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:
-36,-192
Step-by-step explanation:
Answer:
Step-by-step explanation:
75 = 5 *5* 3
29 is a prime number = 29*1
168 = 2*2*2*3*7
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
