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

A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?

Answers

Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation:

Which of the following is not a geometric tool?

A.Compass
B.Pen
C.Protractor
D.Set Squares

Answers

Answer:

C. Protractor

Answer:

A

Step-by-step explanation:

A compass is for directions.

Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74

Answers

Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!!!

The figure below shows a square ABCD and an equilateral triangle DPC:


ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle D


Jake makes the chart shown below to prove that triangle APD is congruent to triangle BPC:


Statements Justifications

In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal

Sides of square ABCD are equal

In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° and angle ADP = angle BCP = 90° − 60° = 30°

Triangles APD and BPC are congruent SAS postulate

Which of the following completes Jake's proof? (1 point)


In triangles APD and BPC; AD = BC

In triangles APD and BPC; AP = PB

In triangles APB and DPC; AD = BC

In triangles APB and DPC; AP = PB.

Answers

9514 1404 393

Answer:

  (a)  In triangles APD and BPC; AD = BC

Step-by-step explanation:

We're not concerned with triangle APB, eliminating the last 2 choices.

We're not concerned with sides AP and BP, as they're not sides of the square, eliminating the second choice.

The choice that makes any sense in the proof is ...

  In triangles APD and BPC; AD = BC

the table shows the relationship between the number of CDs and their cost at the flea market. Which equation shows the same relationship?

Answers

Answer:

probably 2.5/d

Step-by-step explanation:

my mathematical teacher

can someone help with this

Answers

Answer: -1

Step-by-step explanation:

Find the Slope

(0, 2) , (1, 1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  _________

     change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m = _____

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

      1 − (2)

m = _____

      1 − (0)

Simplify.

Simplify the numerator.

       −1

m = ____

     1 − (0)  

Simplify the denominator.

      −1

m = ___

        1

Divide −1 by 1.

m = −1

Covert 7/8 to a decimal to a percent
and show a example how you do It

Answers

Answer:

[tex] \frac{7}{8} \\ = 0.875 \\ = 87.5percent[/tex]

Step-by-step explanation:

To get the decimal we divide: 7÷8=0.875

To get percentage multiply 0.875 by 100 So

0.875×100=87.5%

Identify the function by that reflects f(x)=5x^3-3 across the x axis and shifts up 2 units

Answers

f(x)= 5(-x^3)-3+2
f(x)=5(-x^3)-1

The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=5x³-3.

When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).

The given function reflected across the x-axis and shifts up 2 units.

Now, g(x)= -(5x³-3)+2

= -5x³+3+2

= -5x³+5

Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Giving brainliest!!!???

Answers

Answer:

B.

Step-by-step explanation:

Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.

I hope this helps :)

What is the y-intercept in the table of values

Answers

Answer:your mom

Step-by-step explanation:

cause i took it already

PLEASE HELP ASAP i am willing 30 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 FEDERAL INCOME TAX for this pay period was $

Answers

567

becoz it's merits in increment

Evaluate Expressions
Jan 15, 12:46:39 PM
What is the value of the expression below when x = 7?
5x - 7

Answers

5(7)-7
35-7
28
The answer is: 28

Divide. Write your answer as a fraction in simplest form. −7/2÷7/5=

Answers

The answer i got for this question in simplest form as a fraction is - 5/2

What is the area of a 3/4 yards and 5/6 yard rectangle?

Answers

Answer: 15/24

Step-by-step explanation:

A x B = 5/6 x 3/4 = 15/24

please give explanation cuz i dont know how to do this

Answers

Answer:

Step-by-step explanation:

y=a*b^x

a=$2,000

This is the amount that the homeowner borrowed from the lender

b=This would be represented as 1.04 in decimal form

The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)

x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years

Therefore the equation would be y=2000*(1.04)^x

Find the value of x. Round your answer to
the nearest tenth. Please help

Answers

Answer:

x=50.7°

Step-by-step explanation:

Use the given angle of x° to find which trigonometry ratio to use. We are given the side adjacent to the angle and the hypotenuse. Therefore, we use the cosine ratio:

[tex]cosineX=\frac{adjacent}{hypotenuse}[/tex]

Insert the given values:

[tex]cos.x=\frac{19}{30}[/tex]

In order to fin the angle, use the inverse:

[tex]x=cos^{-1}(\frac{19}{30} )[/tex]

Insert the equation into a calculator:

[tex]x=50.70351976[/tex]

Round to the nearest tenth:

[tex]x=50.7[/tex]

:Done

Someone please help me I only have until January 18th to turn this in. Question: Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag. What is the total weight, in tons, of the dog food Mr. Lopez delivers to the animal shelter?

Answers

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

HELP PLZZZ WILL GIVE BRAINLEAST

Answers

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

Can I get some help here?

Answers

Answer:

AB, CB, AC

Step-by-step explanation:

All the angles in a triangle added up equal 180 degrees

Start by finding the measure of angle A

A + 86 + 27 = 180

A + 113= 180

A = 67 degrees

Now order them

86 is greater than 67 and 27 so B is the greatest

27 is less than 86 and 67 so C is the smallest

67 is less than 86 but greater than 27 so A is in the middle

Now for the sides..

AB is opposite angle C so it's the shortest

CB is opposite angle A so it's in the middle

AC is opposite angle B so it's the longest

I hope this helps!!!

c=27+10h where c= cost in dollars and h= number of hours rented ​

Answers

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)

Answers

Answer:

the second one

Step-by-step explanation:

A repairman charges an inspection fee plus $22 per hour. A customer with a coupon for 40% off the inspection fee pays $118 for a 4-hour repair. How many hours are worked when a customer pays $94 without a coupon?

Answers

Answer:

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?

Answers

Answer:

Ok, so the discount is given in a percentage, in this case 10%.  The sale price is going to reflect 10% of the original price minus the discount, so...

Sale $ = original$ - original $ x .10

If we use some algebra, we can reorganize the equation to solve for the original price...

Sale $ = original$ - original $ x .10

Sale $ = original$ (1 - .10)

Sale $ = original$ x .90

original$ = sale$/.90

So now we can plug in our values

original price = 50/.90

original price = 55.55555 = $55.55 to the nearest nickel

pls help with these two questions!

Answers

Answer:

1. D 2. A

Step-by-step explanation:

please tell me if you need an explanation.

Answer:

Question 1. CQuestion 2. A

Step-by-step explanation:

Question 1

Given equation

(-2/3)x - y = -9

Rewrite in slope-intercept form:

(-2/3)x - y = -9(-2/3)x + 9 = yy = -2/3x + 9

The slope is -2/3 and the y-intercept is 9

Correct answer option is C or third option

Question 1

Given equation

C = 10 + 0.25m

The bill of $25 is represented as:

25 = 10 + 0.25m

Correct option is A or the first option.

(5x + 5 - 2x)(4 + 7x - 1)

Answers

Answer: 21x^2 + 44x + 15

Step-by-step explanation:

first, i used the distributive property.

5x x (4 + 7x - 1) + 5 (4 + 7x - 1) - 2x x (4 + 7x - 1)

then, i removed the parentheses.

20x + 35x^2 - 5x + 20 + 35x - 5 - 8x - 14x^2 + 2x

then, i collected the like terms.

44x + 21x^2 + 15

finally, i reordered the terms.

21x^2 + 44x + 15

Can anyone Help me pleasee!

Answers

It’s reflected across the y axis

please help the game hates me

Answers

Answer:

negative

Step-by-step explanation:

a positive divided by a negative is a negative

Select the correct answer.

Simplify.

Answers

Answer:

is it m-9?

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

Megan ate a fraction of a fruit salad. David ate 1/4 of the rest of the salad. If 9/16 of the salad is left, what fraction did Megan eat?

Answers

Answer:

5/16

sorry if i get it wrong! :(

Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5

Answers

Answer:

the answer is A.................

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