Answer:
$14,644.63
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
First change 12% into a decimal:
12% -> 
-> 0.12
Lets plug in the values:
Tammy will own $14,644.63 after 8 years,
Answer:
For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%
-Hope this helps<3
Part A: f(t) = t² + 6t - 20
u = t² + 6t - 20
+ 20 + 20
u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
u + 29 = t² + 3t + 3t + 9
u + 29 = t(t) + t(3) + 3(t) + 3(3)
u + 29 = t(t + 3) + 3(t + 3)
u + 29 = (t + 3)(t + 3)
u + 29 = (t + 3)²
- 29 - 29
u = (t + 3)² - 29
Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28 h(t) = -16t² + 90t + 50
| t | g(t) | | t | h(t) |
|-4|-167.2| | -4 | -566 |
|-3|-118.4| | -3 | -364 |
|-2| -69.6 | | -2 | -194 |
|-1| -20.8 | | -1 | -56 |
|0 | -28 | | 0 | 50 |
|1 | 76.8 | | 1 | 124 |
|2 | 125.6| | 2 | 166 |
|3 | 174.4| | 3 | 176 |
|4 | 223.2| | 4 | 154 |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.
Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.
Rearrange x/4-(-5)=0
Simplify x/4
-5 = -5/1 = -5*4/4
x- (-5*4)/4 = x+20/4
x+ 20/4 = 0
x+20/4 * 4 = 0*4
The equation now takes the shape: x+20=0
subtract 20 from both sides of the equation: x=-20
Answer: x=-20
9514 1404 393
Answer:
no
Step-by-step explanation:
It is close, but not exactly a right triangle.
If it were a right triangle, we would have ...
21² +70² = 73²
We have instead ...
441 +4900 ≠ 5329
5341 ≠ 5329 . . . . . . . . not a right triangle
