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
miss Akunina [59]
2 years ago
12

A population of bacteria is growing at a rate of 20% per hour. If the population starts at 320, what is it an hour later?

Mathematics
1 answer:
gtnhenbr [62]2 years ago
3 0

Answer:

384.

Step-by-step explanation:

The population is given by the expression;

Y(t) = Pr^{t}

Where;

Y(t) is the number of bacteria at time, t.

P is the starting amount.

r is the growth rate.

Given that, P = 320, r = 20% = 0.2, t = 1

Substituting the parameters into the equation;

Y(t) = Pr^{t}

Y(1) = 320 * 0.2¹

Y(1) = 320 * 0.2

Y(1) = 64.

Therefore, the population of bacteria increases hourly by 64.

An hour later; 320 + 64 = 384.

You might be interested in
Find the equation of line b described below, in slope-intercept form
Serjik [45]

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_a=\dfrac{-12-(-8)}{9-1}

m_a=\dfrac{-12+8}{8}

m_a=\dfrac{-4}{8}

m_a=-\dfrac{1}{2}

Product of slopes of two perpendicular lines is -1.

m_a\times a_b=-1

-\dfrac{1}{2}\times a_b=-1

b=2

Slope of line b is 2.

If a line passing through a point (x_1,y_1) with slope m, then equation of line is

y-y_1=m(x-x_1)

Line b passing through (-8,-16) with slope 2. So, equation of line b is

y-(-16)=2(x-(-8))

y+16=2(x+8)

y+16=2x+16

Subtract 16  from both sides.

y=2x

Therefore, the equation of line b is y=2x.

7 0
3 years ago
24 is 40% of what number?
Murrr4er [49]
24=\frac{40}{100}*x \\ x=24*\frac{5}{2}=60
24 is 40% of 60.
5 0
3 years ago
Read 2 more answers
The Guiness Book of World Records holder for Fastest Rapper is a guy
Leokris [45]

Answer:

Write a ratio.

70 : 5

x : 1

To solve for x, cross multiply.

70 : 5x

Divide both sides by 5.

14 = x

So, NoClue can rap 14 syllables per second.

:)

6 0
2 years ago
What will happen to the mean if the outlier gets removed
sveticcg [70]
I think it will decrease
4 0
3 years ago
Simply 3/4s - (6 - 3/4s)
Stolb23 [73]

Answer:  3/2 s-6

hope i helped

if you can give me brainliest that would be great

8 0
2 years ago
Read 2 more answers
Other questions:
  • The radius of a circle is 6 feet. What is the area of a sector bounded by a 135° arc? please help will give brainliest!!!
    9·1 answer
  • What would the proportion be for #20 and #21<br><br> Thx :)
    8·1 answer
  • What is the area of the sector, in square units, determined by an arc with a measure 45° in a circle with radius 6? Round to the
    12·1 answer
  • To find the value of as well as the uncertainty in 2. Use the given value and uncertainty in for the following equations. a) 3.1
    9·1 answer
  • At midnight , the temperature in buffalo is 38.3 degrees Fahrenheit. Each hour the temperature decreases by 3.28. What is the te
    12·1 answer
  • It took Margie 2 1/4hours to write a 1 1/2 page research paper . What was her hourly writing rate
    15·1 answer
  • 5/9+1/9 in simplest form. Explain.
    10·1 answer
  • Solve for x in the diagram below.<br> (2 +40)<br> 60°
    12·2 answers
  • Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
    15·1 answer
  • Pls Help! It would be very much appreciated, Thx!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!