Answer:
The first five terms of the sequence are: 2000, 2100, 2205, 2315.25, 2431.01.
Step-by-step explanation:
The sequence is modeled by the equation:
![a_{n} = 2000(1.05)^{n}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%202000%281.05%29%5E%7Bn%7D)
(a) Find the first five terms of the sequence {an}.
![a_{n} = 2000(1.05)^{n}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%202000%281.05%29%5E%7Bn%7D)
![a_{0} = 2000(1.05)^{0} = 2000](https://tex.z-dn.net/?f=a_%7B0%7D%20%3D%202000%281.05%29%5E%7B0%7D%20%3D%202000)
![a_{1} = 2000(1.05)^{1} = 2100](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%202000%281.05%29%5E%7B1%7D%20%3D%202100)
![a_{2} = 2000(1.05)^{2} = 2205](https://tex.z-dn.net/?f=a_%7B2%7D%20%3D%202000%281.05%29%5E%7B2%7D%20%3D%202205)
![a_{3} = 2000(1.05)^{3} = 2315.25](https://tex.z-dn.net/?f=a_%7B3%7D%20%3D%202000%281.05%29%5E%7B3%7D%20%3D%202315.25)
![a_{4} = 2000(1.05)^{4} = 2431.01](https://tex.z-dn.net/?f=a_%7B4%7D%20%3D%202000%281.05%29%5E%7B4%7D%20%3D%202431.01)
The first five terms of the sequence are: 2000, 2100, 2205, 2315.25, 2431.01.
Use the exponential function of f(x)= 100x times (1.08)^2
Answer:
155 in
Step-by-step explanation:
Theres honestly no easy way to solve this except using a pencil and a notebook.
Anyways, heres how I did it:
6 times 7=42
17 times 5=85
7 times 4=28
42+85+28=155
If you would like to know what is 5% of 225, you can calculate this using the following steps:
x = 5% of 225
x = 5/100 * 225
x = 11.25
Result: 5% of 225 is 11.25.