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
Karolina [17]
3 years ago
12

A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Answer: 134836

Step-by-step explanation:

The exponential growth equation is given by :-

y=Ab^x                              (1)

, where A= initial population

b= multiplicative growth arte.

x= Time period.

Given : A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.

i.e. A= 8500

b=\dfrac{9350}{8500}=1.1  [Multiplicative growth rate is the common ration between two terms.]

Put value of A and b in (1) , we get

y=8500(1.1)^x                     (2)

For Day 30

When x= 30-1=29            [∵Day 1 is the initial day.]

Put x= 29 in (2), we get

y=8500(1.1)^{29}=8500(15.8630929717)\\\\=134836.290259approx134836        [Round to the nearest whole number.]

Hence, the population be on Day 30 will be 134836 .

11111nata11111 [884]3 years ago
4 0

Answer:

<em>The population on 30th day will be </em><em>134836</em><em>.</em>

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

y=ab^x

where, a and b are constants.

The data points from the question are (1,8500),(2,9350),(3,10285)

Putting the values in the function,

for x=1, y=8500

8500=ab  ----------1

for x=2, y=9350

9350=ab^2  ------2

Dividing equation 2 by 1,

\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1

\Rightarrow b=1.1

Putting the value of b in equation 1,

\Rightarrow a=\dfrac{8500}{1.1}=7727.27

Now the function becomes,

y=7727.27(1.1)^x

Putting x=30, we get

y=7727.27(1.1)^{30}=134836.2\approx 134836

You might be interested in
Which of the following best describes the equation below?
Reika [66]
4(x + 9) + 5x = 9x - 36

=> 4x + 36 + 5x = 9x - 36

=> 9x + 36 = 9x - 36

=> 9x - 9x = -36 - 36

=> 0 = -72

You can see that the equation doesn't hold true.

So there is no solution for this equation.

Answer is C. no real solutions
5 0
4 years ago
Need help with question 1 and 2
olya-2409 [2.1K]
I believe that angle DEF is 29 and angle FEG is 61.
4 0
3 years ago
For what value of x will the function f(x) = -3(x - 10)(x - 4) have a maximum value? Find the maximum value.
gayaneshka [121]

Hello!

To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.

Firstly, we need to simplify f(x).

f(x) = -3(x - 10)(x - 4)

f(x) = -3(x² - 14x + 40)

f(x) = -3x² + 42x + -120

Since the equation f(x) is now simplified to standard form, we can find the vertex.

a = -3, b = 42, and c = -120

x = -(42)/2(-3) = -42/-6 = 7

Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or

f(x) = -3x² + 42x + -120, to find the y-value of the vertex.

f(x) = -3(7 - 10)(7 - 4)

f(x) = -3(-3)(4)

f(x) = 27

The vertex of f(x) is (7, 27).

Therefore, the maximum x-value for the function f(x) is 7.

4 0
3 years ago
Read 2 more answers
6 more than the product of a number and 9 equals 2
adoni [48]

Answer:

2×9+6

=18+6

=24

i think i have give a correct answer

7 0
3 years ago
Read 2 more answers
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Whic
Pie
I just answered this, its y = 63x
5 0
3 years ago
Read 2 more answers
Other questions:
  • 0.38 is ten times as much as
    6·1 answer
  • Any number raised to the zero power always equals
    6·2 answers
  • What is the surface area of the rectangular pyramid below? 13,13,13
    5·1 answer
  • Write an algebraic expression for each verbal expression <br><br> Nine divided by x
    11·1 answer
  • Use slope-intercept form to write the equation of a line
    12·1 answer
  • Answer plz I need it !! Plz
    11·1 answer
  • -1/2 w - 3/5 = 1\5 w <br> w=
    6·1 answer
  • Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
    14·1 answer
  • Solve the equation. Check your answer.<br> 8=t -8.5
    15·1 answer
  • Solve for x. (16x + 23)°
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!