<u>Given</u>:
The height of an object project upward is given by the polynomial
where t represents the time, in seconds.
We need to determine the height after t = 2.5 seconds.
<u>Height of an object:</u>
The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;
Simplifying, we get;
Thus, the height of an object is 140 feet.
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%.