1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
6

The number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the

number of E.coli bacteria cells per 100 mL of water and t represents the time, in years, that has elapsed.
A(t)=136(1.123)^4t

Based on the model, by approximately what percent does the number of E.coli bacteria cells increase each year?

A.
60%
B.
59%
C.
41%
D.
40%
Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer:

Based on the model, percentage of increasing of bacteria in the pond per year is given by, 59% .

Step-by-step explanation:

According to the question,

A(t) = 136 \times (1.123)^{4t} ---------------------(1)

where, A(t) = number of E-coli bacteria cells in the pond per 100 mL of water  at time t year.

So,

A(t+1) = 136 \times (1.123)^{(4(t+1)}

          \simeq 136 \times 1.59 \times (1.123)^{(4t)}--------------------(2)

So, based on the model, percentage of increasing of bacteria in the pond per year is given by,

(\frac {(A(t+1) - A(t))}{A(t)} \times 100) %

\simeq 59 % [from  (1) and (2)]

You might be interested in
A ladder is leaning against a building so that the top of the ladder is touching the roof line. The bottom of the ladder is 8 fe
Scorpion4ik [409]

Answer: 15 ft

Step-by-step explanation:

I took the test :)

4 0
2 years ago
If the area of a square is 1 square meter, how many centimeters long is each side?
Svetllana [295]

Answer:

25 centimeters

Step-by-step explanation:

1 meter is 100 centimeters.

10 ÷ 4 = 25

7 0
3 years ago
1. Determine if the two expressions are equivalent and explain your reasoning.
Elena-2011 [213]
1. Yes because of the constant and coefficient if you add it. Like the answer is 5m +4.

6 0
3 years ago
What is the equation for 8= a-2
xenn [34]

Since we know that a - 2 will equal 8, it is safe to assume that 8 + 2 = 10. Therefore a=10.

7 0
3 years ago
Rate of change from X = 15 to X = 19.
vova2212 [387]

Answer:

26%

Step-by-step explanation:

Subtract the old amt from the new amt, then divide by the old amt:

19-15/15 = 4/15 = 26.6%. Rounded to the nearest tenth it would be 26%.

8 0
3 years ago
Other questions:
  • the ratio of the areas of two rectangles is 4 to 5. if the area of the larger rectangle is 135 square feet, what is the area of
    8·1 answer
  • It takes levar four hours to drive 252 miles what is levar unit rate at this rate how far will Levar Drive in seven hours
    8·1 answer
  • Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old. If the equation t – 3.5 = 22.5 models the situation, fi
    6·2 answers
  • What is 9 times 6 plus 7 minus 10?<br>​
    14·1 answer
  • 15/20 times 1/4 thank me if u like brainly
    13·1 answer
  • I NEED HELP ASAP!!! please show work
    8·1 answer
  • A bowl contains blueberries and strawberries. There are a total of 16 berries in the bowl. The ratio of blueberries to strawberr
    8·1 answer
  • If TWO^2 = THREE where the alphabets are single-digit integers then find T + W + O​
    5·1 answer
  • Does anyone know the answer to this? i’ll mark brainliest
    15·1 answer
  • Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is sh
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!