A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours
Answers
The number of bacterial population after 5 hours is; 816
- The formula for the exponential growth of the population is;
N(t) = N_o(1 + r)^(t)
Where;
N(t) is number of bacteria after t hours
N_o is number of bacteria initially
r is growth rate
t is time
- We are given;
N_o = 480
r = 11.2% = 0.112
t = 5
- Thus;
N(5) = 480(1 + 0.112)^(5)
N(5) = 816.14
- Approximating to a whole number gives; N(5) = 816 bacteria
Read more about exponential growth at; brainly.com/question/15316908
Final answer:
The bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria would be approximately 947.1 bacteria.
Explanation:
To calculate the bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria, we can use the formula
P = P0 * (1 + r)^t.
P is the final population, P0 is the initial population, r is the growth rate expressed as a decimal, and t is the time in hours.
Using the given values, the formula becomes: P = 480 * (1 + 0.112)^5.
Solving this equation, the bacterial population after 5 hours would be approximately 947.1 bacteria.
Learn more about bacterial population growth here:
#SPJ3
Related Questions
The diameter of a circle is 130 inches. The circle has two chords of length 66 inches. What is the distance from each chord to the center of the circle?
Farmer Fred has 200 sheep on his farm. he sells 40 of them. What percentage of his sheep does he have left?
Find the median of the data points 60, 52, 11, 29, 46, 9, 33
According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.
Two
None
Infinitely many
Answers
Answer:
Option 1 - One
Step-by-step explanation:
Given : Equation
To find : How many solutions does the equation have?
Solution :
Step 1 - Write the equation,
Step 2 - Add 8 both side,
Step 3 - Solve the like terms
Therefore, The solution of the equation is only one as it is linear equation and the solution is at p=9.
So, Option 1 is correct.
Answer:
Answer:
Option 1 - One
Step-by-step explanation:
Given : Equation
To find : How many solutions does the equation have?
Solution :
Step 1 - Write the equation,
Step 2 - Add 8 both side,
Step 3 - Solve the like terms
Therefore, The solution of the equation is only one as it is linear equation and the solution is at p=9.
So, Option 1 is correct.
Step-by-step explanation:
Answers
Select the correct answer.
Which expression is equivalent to the given expression?
(12g^2h^7)(3g–^2h-4)
A. 36gh^3
B. 36h^3
C. 36/g^4h^28
D. 38/h^3
Answers
Answer:
C
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
Answers
f(n) = 1/2 * f(n-1) + 2
f(1) = 8
f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
f(3) = 1/2 * f(3-1) + 2 = 1/2 * f(2) + 2 = 1/2 * 6 + 2 = 3 + 2 = 5
f(4) = 1/2 * f(4-1) + 2 = 1/2 * f(3) + 2 = 1/2 * 5 + 2 = 5/2 + 2 = 5/2 + 4/2 = 9/2 = 4 1/2
The correct result would be 4 1/2.
Answers
200 miles ... 5 inches
50 miles ... x inch = ?
200 * x = 5 * 50
x = 5 * 50 / 200
x = 1.25 inch
The correct result would be x = 5 * 50 / 200.
Answer:
200 miles over 5 inches = 50 miles over x inches
200/5 = 50/x = 200x/250 =
x = 250/200 = 1.25
1.25 inches = 50 miles