The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?

Answers

Answer 1

Answer:

FV= 111,529.37 = 111,529

Step-by-step explanation:

Giving the following information:

Initial amount (PV)= 12,000

Growth rate (g)= 45% = 0.45

First, we will establish the future value formula:

FV= PV*(1+g)^n

FV= future value

n= number of days

FV= 12,000*(1.45^n)

For 6 days:

FV= 12,000*(1.45^6)

FV= 111,529.37


Related Questions

In a school, 2/3 of the students study a language.
Of those who study a language 2/5 study French
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.

Answers

Answer:

4 : 11

Step-by-step explanation:

Given that:

Fraction of language students = 2/3

Number of students who study French :

2/5 of 2/3

2/5 * 2/3 = 4 /15

Those who do not study French :

Total fraction of entire student :

1 - 4/ 15

(15 - 4) / 15

11/15

Ratio of French to non-french

4/15 : 11/15

4/15 ÷ 11/15

4/15 * 15/ 11

4 / 11

4 : 11

Write a solution to the equation x? = 75 two
ways:
using exponents
using radicals

Answers

b because when you want to make an equation with x2 you need to use radicals

Write the exponent for the expression.2.78

The exponent for the expression is ___

Answers

Answer:

The exponent for the expression is -8

Step-by-step explanation:

12345689 I just need points

BRAINLIEST! URGENT! If you answer both and leave an explanation, I will mark you brainliest!​

Answers

1. b= 4x/a + 10/a - x

John ran of a mile in 8 minutes. If he continues running at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12 minutes D) 16 minutes​

Answers

Answer:

The answer is D because, John is gonna keep running the multiples of 8.

Step-by-step explanation:

8X2= 16

A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?

Answers

Answer:

drivers license do you like that song?

Step-by-step explanation

I got my driver's license last week

Just like we always talked about

'Cause you were so excited for me

To finally drive up to your house

But today I drove through the suburbs

Crying 'cause you weren't around

And you're probably with that blonde girl

Who always made me doubt

She's so much older than me

She's everything I'm insecure about

Yeah, today I drove through the suburbs

'Cause how could I ever love someone else?

And I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

And all my friends are tired

Of hearing how much I miss you but

I kinda feel sorry for them

'Cause they'll never know you the way that I do

Yeah, today I drove through the suburbs

And pictured I was driving home to you

And I know we weren't perfect but I've never felt this way for no one

Oh, and I just can't imagine how you could be so okay now that I'm gone

I guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Red lights

Stop signs

I still see your face

In the white cars

Front yards

Can't drive past the places

We used to

Go to

'Cause I still f- love you, babe

Sidewalks

We crossed

I still hear your voice

In the traffic

We're laughing

Over all the noise

God, I'm so blue

Know we're through

But I still f- love you, babe

I know we weren't perfect but I've never felt this way for no one

And I just can't imagine how you could be so okay now that I'm gone

Guess you didn't mean what you wrote in that song about me

'Cause you said forever now I drive alone past your street

Yeah, you said forever now I drive alone past your street

Answer:

b

Step-by-step explanation:

pls answer asap pls pls​

Answers

your answer is b and c :)

Answer:

A

Hindi po ako sigurado po ahhhh

*
6. Determine the Rate of Change in the graph below.

Answers

Answer: slope is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change

An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?

Answers

Answer:

Graph B

Step-by-step explanation:

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.

In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:

Graph B corresponds to the given function.

In this way, the inverse function corresponding to:

[tex]f^{-1}(x)[/tex]

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.

See more about inverse function at brainly.com/question/5245372

Factor:
14y2 + 7y
Your answer should be in the format:
GCF ( )
Do NOT use spaces
Do NOT use capital letters

Answers

Answer:

7y(2y+1)

Step-by-step explanation:

The answer is:
7y(2y+1)
Welcome

What is the sum or difference of 10 + (-11) + 5 + (-5)?

Answers

Answer:

-1 is the answer

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

10 + (-11) + 5 + (-5)

=10 - 11 + 5 - 5

=10 - 11

= -1

hope this help, if this don't forget to click the " thanks" button! :)

Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages.

Answers

Answer:

P = 6d ; P = 5d + 15

Step-by-step explanation:

Given that :

Keith = 6 pages per day

Tameka = 5 pages per day

Tameka has already read 15 pages

If d = Number of days ; p = pages read

Keith :

Pages read, p = pages read per day * Number of days, d

P = 6d

Tameka :

Pages read, p = (pages read per day * Number of days, d) + pages read already

P = 5d + 15

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

What is the system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,

[tex]P=6\times d\\P=6d[/tex]

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

[tex]P=5\times d+15\\P=5d+15[/tex]

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

Learn more about the system of equations here;

https://brainly.com/question/13729904

f(x) = 2x2 - 1 What is f(x) when x=2 ?

Answers

Answer:

7

Step-by-step explanation:

To evaluate, substitute x = 2 into f(x), that is

f(2)= 2(2)² - 1 = 2(4) - 1 = 8 - 1 = 7

solve 2x²-3x-7=0 using completing the square method​

Answers

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

There are 40×5^7 chicken spread across 16×5^5 square miles of land on average number of chickens per square mile Round your answer to the nearest whole number

Answers

Answer:

63 chickens per square mile

Step-by-step explanation:

We are to calculate the average number of chickens per square mile.

Number of chickens = 40×5⁷

Number of square miles = 16×5⁵

The average number of chickens per square mile = 40 × 5⁷/16 × 5⁵

= 3125000/50000

= 62.5 chickens per square mile

Approximately to the nearest whole number is

= 63 chickens per square mile

Therefore,the average number of chickens per square mile is 63 chickens per square mile.

PLEASE HELP ASAP I AM WILLING 10 points



You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for NET PAY for this pay period was $

Answers

Answer:

240.62$

Step-by-step explanation:

$9.75 per hour

30 hours

Total earned: 292.5$

Federal income tax (withholding) at 10% --> 29.5$

Social Security tax at 6.2% --> 18.14$

Medicare tax at 1.45% --> 4.24$

292.5 - all taxes = 240.62$

A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings. How many cups of flour are needed to make 7 servings?

Answers

Answer:

Step-by-step explanation:If a recipe calls for 2 1/2 cups of flour and you want to make five times the ... However, measuring flour in cups is far from precise and the dish, pie or cake you ... So for example if your recipe with 2 1/2 cups flour calls for 1 cup water when you make a 5 ... If I used 4 cups of flour, how much of the other ingredients are needed

1. Q1) Which number is missing from this prime factor
tree?

Answers

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !

Answers

Answer:

x= -1

Step-by-step explanation:

2x + 5 (2x+3) =3
2x + 10x + 15 = 3
12x + 15=3
12x=-12
x=-1
y=1

The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
What was the temperature in degrees 8 hours later?

Answers

Answer:

-5 degrees

Step-by-step explanation:

you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

Answers

Answer:

the answer is 9 inches

360/10=36

36*.25 =9

p⁷×p⁴÷p⁵
Palese can Any one can help me In completing this question

Answers

Answer:

the answer p to the 6th power

Step-by-step explanation:

here

p7xp4

p11/p5

p6

y=x+3 find the inverse

Answers

Answer:

[tex]f^{-1} (x) = x - 3[/tex]

Step-by-step explanation:

please help me . weak in here

Answers

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

Sally opens a bank account with $450. If she
earns 4% simple interest per year, how much
interest will she earn in 5 years if she doesn't add
or withdraw any money during that time? Please
type the steps that you use to solve this problem
below.

Answers

Answer: 540

Step-by-step explanation:

450 × .04 = 18

18 × 5 = 90

90 + 450 = *540*

Find the inverse of the function f(x) = 2x - 4.

Answers

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Answers

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3

There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?

Answers

Answer:

Step-by-step explanation:

Change the 2/3 to 4/6

Now the ratio becomes 3:4:6

So the number of each is

3x + 4x + 6x = 520

13x = 520

x = 40

Red = 3*40 =      120

Yellow = 4*40 = 160

Blue = 6 * 40  = 240

Total =               520


The graph shows how a motorboat travels around a lake. What does the graph most likely show?

Answers

D, it increases then goes at a constant speed

The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.

Option D is the correct answer.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The x-axis can be assumed as 10 minutes for each unit.

Now,

From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.

From x = 10, the line on the graph is horizontal this means, the speed is constant.

Thus,

The speed of the boat increases steadily for 10 minutes and travels at a constant speed.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

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