<u>QUESTION 1</u>
Let
represent the number of years.
Then each year the number of people added is given by the function
![N(n)=8.7\times 10^5(n)](https://tex.z-dn.net/?f=N%28n%29%3D8.7%5Ctimes%2010%5E5%28n%29)
Therefore after
years,
![N(25)=8.7\times 10^5(25)](https://tex.z-dn.net/?f=N%2825%29%3D8.7%5Ctimes%2010%5E5%2825%29)
![N(25)=21750000](https://tex.z-dn.net/?f=N%2825%29%3D21750000)
In scientific notation,
![N(25)=2.175\times 10^7](https://tex.z-dn.net/?f=N%2825%29%3D2.175%5Ctimes%2010%5E7)
<u>ANSWER TO QUESTION 2</u>
The population after 25 years can be calculated by adding the increment in population to the initial population.
The initial population
![P_0=9.7\times 10^7](https://tex.z-dn.net/?f=P_0%3D9.7%5Ctimes%2010%5E7)
The population after 25 years
![P(25)=9.7\times 10^7+2.175\times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D9.7%5Ctimes%2010%5E7%2B2.175%5Ctimes%2010%5E7)
![P(25)=(9.7+2.175)\times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D%289.7%2B2.175%29%5Ctimes%2010%5E7)
![P(25)=(11.875)\times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D%2811.875%29%5Ctimes%2010%5E7)
![P(25)=1.1875\times 10^1 \times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D1.1875%5Ctimes%2010%5E1%20%5Ctimes%2010%5E7)
![P(25)=1.1875\times 10^1 \times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D1.1875%5Ctimes%2010%5E1%20%5Ctimes%2010%5E7)
![P(25)=1.1875\times 10^8](https://tex.z-dn.net/?f=P%2825%29%3D1.1875%5Ctimes%2010%5E8)
Answer:
Step-by-step explanation:
In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.
Answer:
Step-by-step explanation:
b² does not equal 25².
7² + b² = 25²
b² = 25² - 7² = 576
b = √576 = 24