A certain bacterium has an exponential growth rate of 25% per day. If we start with 0.5 gram and provide unlimited resources, how many bacteria can we grow in 2 weeks? Round to the nearest tenth of a gram. HINT: How many days are in a week?

Answers

Answer 1

Answer:

FV= 11.369 gr

Step-by-step explanation:

Giving the following information:

Growth rate (g)= 25% per day

Number of periods (n)= 14 days

Present Value (PV)= 0.5 gr

To calculate the Future Value(FV) in grams, we need to use the following formula:

FV= PV*(1+i)^n

FV= 0.5*(1.25^14)

FV= 11.369 gr


Related Questions

1) 1/3(x+3)+1/6=1/2(x-1)-(x-3)

Answers

Answer:

x= 8/5

Step-by-step explanation:

Let's solve your equation step-by-step.

1

3

(x+3)+

1

6

=

1

2

(x−1)−(x−3)

Step 1: Simplify both sides of the equation.

1

3

(x+3)+

1

6

=

1

2

(x−1)−(x−3)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−1(x−3)(Distribute the Negative Sign)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−1x+(−1)(−3)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−x+3

(

1

3

)(x)+(

1

3

)(3)+

1

6

=(

1

2

)(x)+(

1

2

)(−1)+−x+3(Distribute)

1

3

x+1+

1

6

=

1

2

x+

−1

2

+−x+3

(

1

3

x)+(1+

1

6

)=(

1

2

x+−x)+(

−1

2

+3)(Combine Like Terms)

1

3

x+

7

6

=

−1

2

x+

5

2

1

3

x+

7

6

=

−1

2

x+

5

2

Step 2: Add 1/2x to both sides.

1

3

x+

7

6

+

1

2

x=

−1

2

x+

5

2

+

1

2

x

5

6

x+

7

6

=

5

2

Step 3: Subtract 7/6 from both sides.

5

6

x+

7

6

7

6

=

5

2

7

6

5

6

x=

4

3

Step 4: Multiply both sides by 6/5.

(

6

5

)*(

5

6

x)=(

6

5

)*(

4

3

)

x=

8

5

Sally had some marbles. After buying 12 more marbles, she had 25 marbles. How many marbles did Sally have before she bought more?

Answers

Answer:

13

Step-by-step explanation:

25 - 12 = 13

Answer:

13

Step-by-step explanation:

12 + 13 = 25 or 25 -12 = 13

A car can go 35 1/2 miles in 1 1/2 miles gallons. How many gallons does a car need to go 639 miles?

Need work please!!

Answers

Answer: 27 gallons

Step-by-step explanation:

Since the car can go 35½ miles in 1½ miles gallons, we need to first calculate the number of miles that the car can go in 1 gallon. This will be:

= 35½ / 1½

= 71/2 / 3/2

= 71/2 × 2/3

= 23⅔ miles per gallon.

Therefore, the amount of gallons that the car need to go 639 miles will be:

= 639 / 23⅔

= 639 ÷ 71/3

= 639 × 3/71

= 27

The car will need 27 gallons.

The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing

Answers

Answer:

32%

Step-by-step explanation:

[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage =  (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

To learn more about percentage check:

https://brainly.in/question/33820520?

#SPJ5

Jonathan has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options.
yy
gr
gg
rg
yr

Answers

Answer: The answers B,D,E are correct

Step-by-step explanation:

Answer: gr, rg, yr

Step-by-step explanation:

8) A crew is made up of 8 men; the rest are women. 66% of the crew are men. How many people are in the crew?​

Answers

Answer:

12 crew members I think hope this helps :)

Step-by-step explanation:

☁️ Answer ☁️

12.

(66 2/3)

---------- (x) = 8

100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Here's the link: https://www.wyzant.com/resources/answers/286307/a_crew_is_made_up_of_8_men_the_rest_are_women_66_2_3_are_men_how_many_people_are_in_the_crew

Hope it helps.

Have a nice day noona/hyung.

The complex numbers $z$ and $w$ satisfy $|z| = |w| = 1$ and $zw \ne -1.$


(Prove that $\overline{z} = \frac{1}{z}$ and $\overline{w} = \frac{1}{w}.$

Answers

Step-by-step explanation:

I can't read any of the things they are all in code :( I can answer the question in the comments. Also what is ne. I am so sorry!

HELP ME!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

can someone please help me out its important please.

Answers

A=32

You add all the sides

Find the value of x. Round to the nearest tenth .

Answers

Answer:

x = 7.2

Step-by-step explanation:

I am pretty sure this is right, but I apologize if I am wrong.

Find the radius of the button.
28 mm
radius:
mm

Answers

Answer:

14 mm

Step-by-step explanation:

Just write down the answer.

Answer:

28mm

Step-by-step explanation:

is the right answer

Solve the system by graphing
y = -3/4x + 6
y = 2x - 5

Answers

Answer:

X= 4. Y = 3.

Step-by-step explanation:

If you have a graphing calculator, put the first equation into Y1. And second equation into Y2. Then, find the intersection of the two equations. That's how you find your answer.


Yarely ordered a skateboard. There was a discount of 40% and the original price is
$60. What is the sale price?

Answers

Answer and working out attached below. Hope it helps.

5. What might be the dimensions of a
cylindrical container that holds 750 mL
of juice?

Answers

Answer:

radius of 10.9254843 and height of 10.9254843

Step-by-step explanation:

The equation for the volume of a cylinder is V = 2 pi r h

If V (volume) = 750, find for r and h

(I'm just going to make the radius and height the same thing)

750 = 2 pi r r

375 = pi r^2

119.366207 = r^2

10.9254843 = r

Diana looks up at an angle of 57 and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of x,
the height of the hot air balloon above Diana's head? (Show work on paper)

Answers

Answer:

230.98 meters

Step-by-step explanation:

Answer:

126m

Step-by-step explanation:

Use sine because we want to find the opposite length but only know the hypotenuse.

What is the measure of this angle?

Answers

Answer:

25

Step-by-step explanation:

Answer:

? = 25°

Step-by-step explanation:

all triangle interior angles added together = 180°, so:

? = 180° - 119° - 36°

? = 25°

The total weight of all the students in a class is 3,159 lb. The mean weight of the students is 117 lb. How many students are there in the class?

Answers

Answer:

27

Step-by-step explanation:

You do 3159 ÷ 27

Comes out to 27

I found 27 by just plugging in numbers.

Hope this helps

Answer:

There are 27 students in the class.

Step-by-step explanation:

Since the total weight is 3,159 and the average weight is 117lb, you can just divide 3,159 by 117, which will give you 27.

ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?

Answers

Answer:

7.68%

Step-by-step explanation:

The computation of the yield is shown below:

As we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

We simply divide the annual dividend from the price per share so that the yield could be determined

hence, the yield is 7.68%

And, the same would be relevant

pls help asap; 40 pts

Answers

hope this helps!!!!!!!!

Answer:

(2.73, -0.73)

Mr. Brown opened a new account with a deposit of $4,000.
- The account earned annual simple interest. - He did not make any additional deposits or withdrawals.
- At the end of 4 years, the balance was $4,400. What is the annual interest rate on this account? O 5%
O 2.5%
O 10%
O 7.5%​

Answers

Answer= 10%
Fairly simple 4000x0.1=400 which was the amount of interest earned

PLSSSS HELP IN NEED OF HELP IMMEDIATELY! (check whole picture and pls don’t leave a link)

Answers

It will be c because
C! Cuz tadpoles are producers living in water

can someone help plz ... mark brainliest ❤️

Answers

Answer:

Top:(4r⁹+3r³-5)

Bottom: r⁵

Step-by-step explanation:

Angela bought a dress that cost $22.50. If the sales tax is 6.5%, how much tax did she pay? I need help with this one

Answers

your answer will be $23.96

THE FASTER THE BETTER PLEASE HURRY 10 POINTS

Answers

Answer:

48in^2

Step-by-step explanation:

The area of a triangle is calculated by the formula A= b*h1/2. Substitute b for 24, h for 4, and solve.


HELP ME PLEASEEEEEE

Answers

It -3 correct answer

Answer:

-3

Step-by-step explanation:

The answer is -3 because it is the number on the x-axis

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=33°, and KL = 25 feet. Find the length of LJ to the nearest tenth of a foot.

Answers

Answer:

38.5

Step-by-step explanation:

Which of the following possibilities will form a triangle?

Question 4 options:

1)

Side = 15 cm, side = 6 cm, side = 8 cm

2)

Side = 15 cm, side = 6 cm, side = 9 cm

3)

Side = 16 cm, side = 9 cm, side = 6 cm

4)

Side = 16 cm, side = 9 cm, side = 8 cm

Answers

Answer:

Option 4

Step-by-step explanation:

The smaller sides must add up to be greater than the largest side so:

1) 6 + 8 < 15

1) No

2) 6 + 9 = 15

2) No

3) 9 + 6 < 16

3) No

4) 9 + 8 > 16

4) Yes

what are three ways you can solve a proportion?

Answers

Answer:

horizontal

vertical

diagonal

Step-by-step explanation:

I guess I only know those.hope it helps you

JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK?

Answers

ANSWER:

I think the approximate length og chord Lk is around 8.5 inches long

7. The short sides of a parallelogram are both 12.0 cm. The acute angles

of the parallelogram are 65°, and the short diagonal is 15.0 cm.

Determine the length of the long sides of the parallelogram. Round

your answer to the nearest tenth of a centimetre.


Please help explain this question

Answers

The length of the longest side of the parallelogram is 14.7 cm.

We have,

Let's denote the length of the long sides of the parallelogram as L.

In a parallelogram, the opposite sides are congruent, so both long sides have the same length.

The Law of Cosines states:

c² = a² + b² - 2ab cos(C)

Where:

c is the length of the side opposite the angle C,

a and b are the lengths of the other two sides,

C is the measure of the angle opposite side c.

The short sides of the parallelogram are 12.0 cm, and the acute angle is 65°.

Applying the Law of Cosines to find the length of the long side:

[tex]L^2 = 12^2 + 12^2 - 2 * 12 * 12 * cos(65)\\L^2 = 144 + 144 - 288 * cos(65)\\L^2 = 288 - 288 * cos(65)\\L = \sqrt{(288 - 288 * cos(65))}\\L = 14.7 cm[/tex]

(rounded to the nearest tenth of a centimeter)

Thus,

The length of the longest side of the parallelogram is 14.7 cm.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ4

Other Questions
Combine the two ideas into a single sentence."Guys, I thought we were here for the games," he started to say, _______ his friends were already changing into their skates.A. so thatB. whether C. butD. unless A van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the car be rented if they want to spend exactly $760.00 on the van rental.A. 75.00 + 160.00x = 760.00B. 75.00x 160.00 = 760.00C. 75.00 160.00x = 760.00D. 75.00x + 160.00 = 760.00 IntroductionScientists have established a timeline of events after the Big Bang, based on astronomical observations and our understanding of the physical laws of the universe, such as gravity and the speed of light. In this lab activity, you will gather evidence to support the Big Bang theory.Problem: How can models demonstrate theories of our expanding universe?Hypothesis: Review the virtual lab demonstration in the lesson and stop the video when prompted to formulate a hypothesis. Hypothesize (or predict) what will happen to the distances between the labeled circles when you blow up the balloon full, full, and full. Remember to include independent and dependent variables in your hypothesis. The carbon dioxide represents how galaxies will spread out.Materials: Watch the virtual lab demonstration video within the lesson. No additional materials are needed. Variables:For this investigation:List the independent variable(s):List the dependent variable(s):List the controlled variable(s):Procedures:1. Watch the virtual lab demonstration video within the lesson and record your observations in Table 1. 2. Using your expanding universe data from Table 1, construct a line graph using the volume of the below on the X axis and the distance between points on the Y axis. Be sure to include units and add titles to the graphs. Refer to the graph example and graphing tutorial in the lesson if needed. 3. Complete the Questions and Conclusion section of the lab report. Data and Observations: Table 1: Expanding Universe ObservationsGalaxies Distance: Uninflated balloon (centimeters)Distance: full (centimeters) Distance: full (centimeters) Distance: full (centimeters)A to B A to C A to D B to C B to D C to D Construct a line graph using the expanding the universe data from table 1. The volume will be plotted on the x-axis. The distance between the points will be plotted on the y-axis. Be sure to include units and add titles to the graph. Refer to the graph example and graphing tutorial in the lesson if needed.Place your graph here. Questions and Conclusion1. How does the density and distribution of your stars change as the balloon expands?2. How does your expanding balloon model represent an expanding universe? 3. What are some shortcomings of using this model as a replica of universe expansion? 4. How does the model you created help to show that the Steady State theory is inaccurate?5. Suggest a way that a scientist could create an even more accurate model of universe expansion. 6. What will happen to the gravitational force between stars as the universe continues to expand? In conclusion, how did your prediction of distances between points compare to your experimental results? All I truly need is the variables question 3 and 5 and Im good :) thank you The local police department gives a detective test. Everyone who takes the test must have been a police officer for at least five years. The people taking the exam are rated from highest to lowest based on their test scores. If a detective position becomes available, it is filled on the basis of who has the highest score. What best describes this practice? PLEASE HELP !!!! ILL GIVE BRAINLIEST !!! The high speeds of a hurricane's outer winds are maintained due to the ---. Write an open letter about an issue in your school or community modeled after Dr. King's "Letter from a Birmingham Jail." Include whom you are addressing, the change you hope the letter will bring, and valid arguments and reasoning to support your position. Your letter should also include the use of persuasive language, or rhetoric In the levels of organization, a group of organs form _________.- an organ system, - tissues, - bones What legal protection would cover a person invention?PlagiarismA trademark A copy right A patent How many people ordered beer?*it is not 15 Please help!Research shows that about __________ of adolescents (ages 12 to 19) are obese. A. 10.5% B. 12.5% C. 14.5% D. 15.5% If you move the north pole of a permanent magnet toward the surface of an aluminum pot, a current will flow through that pot and the pot will become magnetic, repelling your permanent magnet. If you stop the permanent magnet just before it touches the pot and then hold the permanent magnet stationary, the repulsive force between the pot and the permanent magnet will gradually disappear. The repulsive force disappears because the electric current in the pot a) becomes non-magnetic once the permanent magnet stops moving. b) stops increasing and becomes steady once the permanent magnet stops moving. c) becomes an alternating current once the permanent magnet stops moving and the pots magnetic poles then flip back and forth rapidly. d) stops flowing Someone needs to hear this. So here it is. God will pull you through. You just need to have faith. You just have to keep going. Do not give up. Things will get better. What is important to you is important to the lord. So pray and He will listen. 7. What does static mean?A. boring and complacentB. moving or activeC. still or non-movingD. rigid and awkward Determine the separation distance between two balloons with charges of +3.6*10^-8 C and -3.2*10^-8 C. They generate an electrical force of -2.2*10^-2 between them. Which of the following is not true of the things you should do before youinterview someone?O A. You should prepare a list of questions in advance.B. You should know what you want to learn from the subject.O c. You should prepare a series of open-ended questions.O D. You should prepare a series of close-ended questions. 9. Some people believe that the book version of a story is always better than the movie. Whatreason might these readers give for preferring the book?A.Books tend to include less background information.B.Books usually provide a more believable plot line.C.Books usually include a lot more dialogue than description.D.Books are able to include details films must leave out. why should violent video games be ban Relaciona las siguientes palabras en relacin a las Ciencias Sociales; Sociedad hombre actividades hechos What should I take single science biology, or all 3 (physics, biology, chemistry) for GCSE? Plez i don't know what to decide on... I am so stuck. I don't like blood and stuff related to the like. However, if I take A level biology I have a better chance of getting to uni and I like biology but I'm pretty much an air head. Can you give me any answers? Plz