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
frozen [14]
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:
liq [111]3 years ago
8 0

Answer:

  • <u>Option B. 59%</u>

Explanation:

The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:

  • A(t)=136(1.123)^{4t}

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:

  • rate=(1.123)^{4t}=(1.123)^4=1.590

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

You might be interested in
A math class has three girls and 7 boys in the 7th grade and five girls and five boys in the 8th grade the teacher randomly sele
Anuta_ua [19.1K]

Answer:

7/20

Step-by-step explanation:

Seventh grade: Total = 3 + 7 = 10

Number of boys = 7 boys

Probability of a boy being picked = 7/10

Eighth grade: Total 5 + 5 = 10

Number of boys = 5

Probability 5/10 = 1/2

The probability of the correct outcome = 7/10  *  1/2  = 7 / 20

Answer: 7 / 20

7 0
3 years ago
4 x tiles and 3 negative tiles = 5 x tiles and 4 positive tiles. Examine the algebra tiles. Which equation is being modeled? 4x
Andru [333]

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

i got it right on edge. :)

9 0
3 years ago
Read 2 more answers
2 Points
sergeinik [125]

Answer:

Step-by-step explanation:

x²+x²=14²

2x²=196

x²=196/2=98

x=7√2 ft

3 0
3 years ago
If ABC is a straight line and angle CBD=119
Nonamiya [84]

Hello this is not question .

5 0
3 years ago
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 14 ft wide.
expeople1 [14]

rounded part is a semicircle so the area for that is the area of a circle ÷ 2

so

area of the rectangle + (area of the circle ÷ 2) = answer

24 * 14 = 336 = area of the rectangle

14 ÷ 2 = r

(pi * 7^2) ÷ 2

(pi * 49) ÷ 2 = 153.86 ÷ 2 = 76.93 = area of semicircle

336 + 76.93 = 412.93 ft^2 = answer

6 0
2 years ago
Other questions:
  • What is the exponent of 105cm=1.05m
    9·1 answer
  • At West High School, 16% of the student population is taking a calculus course, 11% is taking a physics course, and 4% is taking
    13·2 answers
  • Please help. no links
    5·1 answer
  • 3/4 empress fraction as decimal
    6·1 answer
  • Help me with this :))))
    9·1 answer
  • What is the area, in square feet, of the shaded part of the rectangle below?
    14·1 answer
  • If you know please help I’ll give Brainliest
    15·1 answer
  • 50 points please help i need it so bad
    13·1 answer
  • In a survey of some students, 55% of the students like basketball, 65% lik cricket and 35% like basketball as well as cricket .
    6·1 answer
  • 4. What are the values of the variables in the triangle below? If your answer is not an integer, leave
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!