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
natali 33 [55]
3 years ago
12

number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does

it take the size of the sample to double ? growth rato parameter of 48% per hour
Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

P(t) = P(0)(1+r)^t

Growth rato parameter of 48% per hour

This means that r = 0.48. So

P(t) = P(0)(1+r)^t

P(t) = P(0)(1+0.48)^t

P(t) = P(0)(1.48)^t

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

P(t) = P(0)(1.48)^t

2P(0) = P(0)(1.48)^t

(1.48)^t = 2

\log{(1.48)^t} = \log{2}

t\log{1.48} = \log{2}

t = \frac{\log{2}}{\log{1.48}}

t = 1.77

It takes 1.77 hours for the population to double.

You might be interested in
Which of the following expresion is equivalint to 2d(3d-4)
Alex

Answer:

6d^2 - 8d

Step-by-step explanation:

Multiply 2d to the other two monomials

3 0
3 years ago
Brandon picked 14 of a pound of cherries. That afternoon, Brandon's brother ate 12 of the cherries. How many pounds of cherries
stellarik [79]

Answer:

2

Step-by-step explanation:

Brandon picked 14 pounds of cherries but later in the afternoon Brandon's brother ate 12 so you would subtracts

14-12 = 2

8 0
3 years ago
Help helpp pleaseee
Len [333]

Answer:

3 is the right I think idonk

8 0
3 years ago
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Gekata [30.6K]
Answer
C because it’s nearest to -1
4 0
3 years ago
Read 2 more answers
Zeus Industries bought a computer for $2207. It is expected to depreciate at a rate of 27% per year. What will the value of the
vodka [1.7K]
Multiply 2207 by .27 and get $595.89.  This is the first year depreciation.
After 1 year the computer has a value of $1611.11.
Year 2 depreciation would be 1611.11 X .27= $434
1611.11-434= $1,177.11
Year 3  1177.11 X .27= $317.82
1177.11- 317.82= $859.29
Final year 859.29 X .27= 232
$859.29- 232= $627.29
7 0
4 years ago
Other questions:
  • Yuri made a fruit salad with 1/3 cup blueberries,5/8 cup strawberries,and 5/6 cup apples.how much Fruit did yuri make?
    15·1 answer
  • Landon and Keira want to make enough salsa to fill two of the bowls they bought. One bowl holds 3 pints, and the other bowl hold
    13·2 answers
  • In the decimal expansion of 2/9 the digit __ repeats indefinitely<br>​
    8·1 answer
  • What is the equation of the midline for the function f (x)?<br> f(x) = sin(x) + 3
    15·1 answer
  • Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the
    14·1 answer
  • Circumference of a circle:
    10·2 answers
  • Which promblem can be solved using 3 times 7=21
    14·1 answer
  • I will give brainliest if answered correctly :D 5/1 (the fraction) MINUS 6!
    12·2 answers
  • Julio bought tables and chairs for his restaurant. He bought 16 total items and spent $1800. Each table cost $150 and each chair
    9·1 answer
  • In the soup can below, the height is approximately 538 inches and the diameter is 3 inches.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!