Answer:
3/5=x/z
Step-by-step explanation:
7x=3y
7(3)=3(7)
21=21
5y=7z
5(7)=7z (plug in the seven from the first step)
35=7z
then divide both sides by 7
5=z
therefore, X/Z=3/5
Tan = opp/adj
Tan A = 16/12
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval
will be given by the following equation:
![S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bf%28x_%7Bf%7D%29%20-%20f%28x_%7Bs%7D%29%7D%7Bx_%7Bf%7D%20-%20x_%7Bs%7D%7D)
In this problem, we have that:
![B(t) = 1000(1.02)^{t}](https://tex.z-dn.net/?f=B%28t%29%20%3D%201000%281.02%29%5E%7Bt%7D)
Find the average rate of change in the balance over the interval t = 0 to t = 5.
![B(0) = 1000(1.02)^{0} = 1000](https://tex.z-dn.net/?f=B%280%29%20%3D%201000%281.02%29%5E%7B0%7D%20%3D%201000)
![B(5) = 1000(1.02)^{5} = 1104.08](https://tex.z-dn.net/?f=B%285%29%20%3D%201000%281.02%29%5E%7B5%7D%20%3D%201104.08)
Then
![S = \frac{1104.08 - 1000}{5-0} = 20.82](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7B1104.08%20-%201000%7D%7B5-0%7D%20%3D%2020.82)
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
1: 80% The reason why is because if you do 4/5, you get .80, move the decimals to places to the right, and you get 80%
2: 95% Process of Elimination, and Educated Guess.
3: 33 1/3% If you do 50/150, you get 0.33333... Like I said, move the decimal point two places to the right, and you get 33.33...%
<em>I hope this helps, and Happy Holidays! :)</em>
Answer:
7.2 feet
Step-by-step explanation:
plug in x = 3 since we are looking for the height after the 3rd bounce
4(0.6)(3)
4(1.8)
7.2