I got the answer of 6127.731 hope this works out for you.
Answer:
The one with the frequency of 8
Step-by-step explanation:
Answer:
It will take 34.33
Step-by-step explanation:
* Lets talk about the compound continuous growing
- Compound continuous growing can be calculated using the formula:
![A=Pe^{rt}](https://tex.z-dn.net/?f=A%3DPe%5E%7Brt%7D)
# A = the future value
# P = the initial amount
# r = the growing rate in decimal
# t = the time
* Lets solve the problem
- The population of a particular country is growing at 3.2 %
compounded continuously
∴ r = 3.2/100 = 0.032
- We need to find how long will it take the population to triple
∵ The initial population is P
∴ A = 3P
∵ ![A=Pe^{rt}](https://tex.z-dn.net/?f=A%3DPe%5E%7Brt%7D)
∴ ![3P=Pe^{0.032t}](https://tex.z-dn.net/?f=3P%3DPe%5E%7B0.032t%7D)
- Divide both sides by P
∴ ![3=e^{0.032t}](https://tex.z-dn.net/?f=3%3De%5E%7B0.032t%7D)
- Insert ㏑ for both sides
∴ ![ln(3)=ln(e^{0.032t})](https://tex.z-dn.net/?f=ln%283%29%3Dln%28e%5E%7B0.032t%7D%29)
- Remember ![ln(e^{n})=n](https://tex.z-dn.net/?f=ln%28e%5E%7Bn%7D%29%3Dn)
∴ ㏑(3) = 0.032t
- Divide both sides by 0.032
∴ t = ㏑(3)/0.032 = 34.33
* It will take 34.33
Answer:
The one that makes a circle
Step-by-step explanation: