Answer: There are 12 players in each team.
Step-by-step explanation:
Since we have given that
Number of boys in this year's baseball league = 59
Number of girls in this year's baseball league = 49
Total number of players in altogether is given by
![59+49=108](https://tex.z-dn.net/?f=59%2B49%3D108)
Now, there are 9 teams in the league ,
So,
![\text{Number of players in each team}=\frac{108}{9}=12](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20players%20in%20each%20team%7D%3D%5Cfrac%7B108%7D%7B9%7D%3D12)
Hence, there are 12 players in each team.
Plot (0,-10)
Then follow rise over run
Sooo up 5
Answer:
<em>It will take 9 years for the population to double</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
![P=P_o(1+r)^t](https://tex.z-dn.net/?f=P%3DP_o%281%2Br%29%5Et)
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
![2P_o=P_o(1+0.08)^t](https://tex.z-dn.net/?f=2P_o%3DP_o%281%2B0.08%29%5Et)
Simplifying:
![2=(1.08)^t](https://tex.z-dn.net/?f=2%3D%281.08%29%5Et)
Taking logarithms:
![\log 2=\log (1.08)^t](https://tex.z-dn.net/?f=%5Clog%202%3D%5Clog%20%281.08%29%5Et)
Applying the exponent property of logs:
![\log 2=t\log (1.08)](https://tex.z-dn.net/?f=%5Clog%202%3Dt%5Clog%20%281.08%29)
Solving for t:
![\displaystyle t=\frac{\log 2}{\log (1.08)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B%5Clog%202%7D%7B%5Clog%20%281.08%29%7D)
Calculating:
![t\approx 9](https://tex.z-dn.net/?f=t%5Capprox%209)
It will take 9 years for the population to double