Answer:
The initial population was 2810
The bacterial population after 5 hours will be 92335548
Step-by-step explanation:
The bacterial population growth formula is:
![P = P_0 \times e^{rt}](https://tex.z-dn.net/?f=P%20%3D%20P_0%20%5Ctimes%20e%5E%7Brt%7D%20)
where P is the population after time t,
is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours
Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:
![2 P_0 = P_0 \times e^{r 1/3}](https://tex.z-dn.net/?f=2%20P_0%20%3D%20P_0%20%5Ctimes%20e%5E%7Br%201%2F3%7D%20)
![2 = e^{r \; 1/3}](https://tex.z-dn.net/?f=2%20%3D%20e%5E%7Br%20%5C%3B%201%2F3%7D%20)
![ln 2 = r \; 1/3](https://tex.z-dn.net/?f=ln%202%20%3D%20r%20%5C%3B%201%2F3%20)
![ln 2 \times 3 = r](https://tex.z-dn.net/?f=ln%202%20%5Ctimes%203%20%3D%20r%20)
![2.08 \% = r](https://tex.z-dn.net/?f=2.08%20%5C%25%20%3D%20r%20)
Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:
![90000 = P_0 \times e^{2.08 \; 5/3}](https://tex.z-dn.net/?f=90000%20%3D%20P_0%20%5Ctimes%20e%5E%7B2.08%20%5C%3B%205%2F3%7D%20)
![\frac{9000}{e^{2.08 \; 5/3}} = P_0](https://tex.z-dn.net/?f=%5Cfrac%7B9000%7D%7Be%5E%7B2.08%20%5C%3B%205%2F3%7D%7D%20%3D%20P_0%20)
![2810 = P_0](https://tex.z-dn.net/?f=2810%20%3D%20P_0%20)
Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:
![P = 2810 \times e^{2.08 \; 5}](https://tex.z-dn.net/?f=P%20%3D%202810%20%5Ctimes%20e%5E%7B2.08%20%5C%3B%205%7D%20)
![P = 92335548](https://tex.z-dn.net/?f=P%20%3D%2092335548)
To find the percent of the monthly income that is savings, you will divide the amount saved by the total amount of income.
300/1387 = 0.216
The approximate percentage of income that is savings is 22%.
Answer:
why are the number wierd i do it but idk the temp for the second one
Step-by-step explanation:
Answer:
11%
Step-by-step explanation:
1. Fill out the table with the correct numbers.
2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.
3. We know the total number of students under the age of 15 is 165.
4. To find the percent:
18/165 * 100
= 11%
Answer:
She must read more than 5 hours
Step-by-step explanation:
equation 12h+10>70
12h>60
h>5
So she must read more than 5 hours
(can I get brainliest now)