Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, 
is the initial value, k is the growth constant and t is the number of years.
Putting 
in the above formula, we get
Taking ln on both sides, we get
![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
m = 32
Step-by-step explanation:
Answer:
answer is 08
Step-by-step explanation:
3/2m-m=4+1/2*m
3m/2-m=4+1/2*m
3m/2-m=4+1/2m
3m/2-m=4+1m/2
3m/2-m=4+1m/2
3m/2-m=4+m/2
3m/2-m=4+m/2
2(3m/2-m)=2(4+m/2)
m=m+8
a. (2175 mi)/(18 mi/day) = 120.83... day ≈ 121 days
b. 120.83.../4 = 30.2083...
Joelle will hike 30 full days and one partial day.
Initial fee: $25
Per hour fee: $7
Your budget: $60
x = # of hours you can rent the surfboard
$25 + $7x ≤ $60
Subtract $25 from both sides.
$7x ≤ $35
Divide both sides by $7
x ≤ 5
You can rent the surfboard for less than or equal to 5 hours.
