Please help me!! 10 points!!
1 answer:
You might be interested in
Answer:
About 14.8 ft
Step-by-step explanation:
This is a triangle. A man walks one direction, turns, and walks another direction. The question asks for you to find the distance, which is the hypotenuse side. This makes our triangle (see attachment 1)
Since this is not a right triangle, we will use law of cosines.
We are given 2 sides and an angle. However, 20 degrees is the exterior angle. To find the interior angle (green theta), we have to do a calculation:
180-20=160 degrees. This is green theta.
Now, we have all we need to use law of cosines. (see attachment 2)
Answer:
11,500 at 2% and $6,000 at 12%.
Step-by-step explanation:
Let x represent amount invested at 2% and y represent amount invested at 12%.
We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:
We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.
Interest earned at 2% in one year would be .
Interest earned at 12% in one year would be
Upon substituting equation (1) in equation (2), we will get:
Therefore, Theodore invested $6,000 at 12%.
Upon substituting in equation (1), we will get:
Therefore, Theodore invested $11,500 at 2%.