Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
O
A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
o
C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.

Answers

Answer 1

Answer:

The statement that describes a situation that can be modeled as a growth or decay over equal interval is;

C. A species of fly doubles its population every month during the summer

Step-by-step explanation:

We have for exponential growth or decay, the following equation;

Exponential growth or decay;

[tex]y = a \cdot b^t[/tex]

Where;

a = The initial amount of the item

1 + r =  The rate of growth in percentage

b = The growth or decay factor

t = The time

For exponential decay, we have;

0 < b < 1

b = 1 - r

[tex]y = a \cdot(1 - r)^t[/tex]

For exponential growth, we have;

b > 1

b = 1 + r

[tex]y = a \cdot(1 + r)^t[/tex]

Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;

[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]

Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.


Related Questions

Please Help!!! 20 Points! Brainliest Answer! 2 questions

Answers

Answer:

Step-by-step explanation:

its D which is 7

Can someone help please

Answers

Answer:

[tex]x > \frac{16}{3} [/tex]

Step-by-step explanation:

[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]

A line segment has the endpoints P(-7, 6) and Q(-3, 9). Find the coordinates of its
midpoint M
Write the coordinates as decimals or integers.

Answers

Answer:

[tex]MP= (-5,7.5 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{-7+-3}{2} )(\frac{6+9}{2} )[/tex] -7+-3= -10   6+9=15

[tex]MP= (\frac{-10}{2} )(\frac{15}{2} )[/tex] -10/2=-5 15/2=7.5

[tex]MP= (-5,7.5)[/tex]

make y the subject of the formula x=a-2by squared

Answers

Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( subtract a from both sides )

x - a = - 2by² ( multiply through by - 1 to clear the leading negative )

a - x = 2by² ( divide both sides by 2b )

[tex]\frac{a-x}{2b}[/tex] = y² ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Making y the subject of the formula, [tex]x = a - 2by^2[/tex] , the answer would be:

[tex]\mathbf{y = \sqrt{\frac{x - a}{-2b}} }[/tex]

Given the formula: [tex]x = a - 2by^2[/tex],

Required:

Making y the subject of the formula

This is done as shown below:

[tex]x = a - 2by^2[/tex]

Subtract a from both sides

[tex]x - a = - 2by^2[/tex]

Divide both sides by -2b

[tex]\frac{x - a}{-2b} = y^2[/tex]

Take the square root of both sides

[tex]\sqrt{\frac{x - a}{-2b}} = y\\\\\\\mathbf{y = \sqrt{\frac{x - a}{-2b}} }[/tex]

Therefore, making y the subject of the formula, [tex]x = a - 2by^2[/tex] , the answer would be:  [tex]\mathbf{y = \sqrt{\frac{x - a}{-2b}} }[/tex]

Learn more here:

https://brainly.com/question/19557491

What’s the absolute value of -6.5

Answers

Answer:

6.5

Step-by-step explanation:

|-6.5| = 6.5

Answer:

6.5

Step-by-step explanation:

for which equations below is x = -3 a possible solution ?

lxl = 3

lxl = -3

l-xl = 3

l-xl = -3

-lxl = -3​

Answers

Answer:

-/x/ = -3 (Sorry I couldn't put the lines)

Step-by-step explanation:

Negative and a negative = a positive

I hope this helps you :)

Ratio of wins to losses in 42 games with 35 wins.

Answers

oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash

Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175. 75 + ?m = 175

Answers

Answer:

2 months for $175

Step-by-step explanation:

2x5 is 10 so 2x50 = 100 and since 75 was already in the bank when he started doing deposits, it took him 2 month to deposit 100

Answer:

50

Step-by-step explanation:

i got this one wrong 175 isnt correct

What equation can Janet use to calculate the principal amount? (and please don't just answer try to solve it someone ripped me off, the last time i asked by just typing)

Answers

Answer:

t = [tex]\frac{l}{pr}[/tex]

Step-by-step explanation:

Formula or literal equation used to calculate the simple interest is,

l = prt

where 'l' = Simple interest

p = principle amount invested

r = rate of interest

t = time or duration of the investment

If we have to calculate the time of investment form the given formula,

l = prt

By the division property of equality,

[tex]\frac{l}{pr}=\frac{prt}{pr}[/tex]

[tex]t=\frac{l}{pr}[/tex]

Therefore, formula to be used is, [tex]t=\frac{l}{pr}[/tex]

[31pts and brainliest] What is the measurement of angle Z and why?

Answers

Answer:

the measure of angle Z is 104

Step-by-step explanation:

the angle z and 76 form a suplementary angle, which they add up to 180.

To find angle z, just subtract 76 from 180.

Solve for x. 20 points and I give brainliest
Pls provide work. Due in an hour

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

To solve for x, we can use the Exterior Angle Theorem.

The Exterior Angle Theorem states that the exterior angle is equivalent to the sum of the two opposite, interior angles.

So, we can write the following equation:

[tex](6+25x)=(44)+(18x-3)[/tex]

Now, we just have to solve for x.

On the right, let's subtract. So:

[tex]6+25x=18x+41[/tex]

Now, let's subtract 18x from both sides. This gives:

[tex]6+7x=41[/tex]

Now, let's subtract 6 from both sides. This will yield:

[tex]7x=35[/tex]

And, finally, let's divide both sides by 7, giving us:

[tex]x=5[/tex]

And we're done!

We can use the Exterior Angle Theorem.

6 + 25x = 44 + 18x - 3

6 + 25x = 18x + 41

25x = 18x + 35

7x = 35

x = 5

Best of Luck!

Sarah sold 12 boxes of girl scouts cookies. If Sarah sold three times as many boxes as Amiyah, how many boxes did Amiyah sell?

Answers

Answer:4

Step-by-step explanation:

Amiyah sold 4 boxes.

you would set this up as 3x = 12.
to solve, just divide the 12 by 3, leaving you with X = 4.

Why is thinking about the problem before you work important?​

Answers

Answer: It's good to think about things before doing them because it is more thought out and you have a better chance of getting things correct whereas without thinking your most likely going to get it wrong. Without thinking through your options you are basically guessing the answer. I hope this helped you have a great day and god bless you :D

AB=10,BC=6. What is AC

Answers

Answer:

16

Step-by-step explanation:

adding any two sides of a triangle is allways greater than the third side.

1. Give an example of the symmetric property​

Answers

Answer:

if line segement XY is congruent to line segment MN, the line segemnt MN is congruent to line segment XY

Step-by-step explanation:

:)

#3 what is 33/222 simple form

Answers

Answer: 11/74

Step-by-step explanation:

We have to think about what number can be divided from both 33 and 222. 33’s factors are 11 and 3. 222’s are 3, 6, 74, 37, and probably more. The only one the two numbered have in common is 3. So, divide north the numbers toe and denominator by 3 to get 11/74.

The ratio of boys to girls in the lunch room was 4 to 3. If there were 84 students in the cafeteria, how many were girls?

Answers

Step-by-step explanation:

9868866858566586575765578

What is the value of m

Answers

10 you’re welcome :)

Answer:

m = 10

Step-by-step explanation:

From the image given, we can tell that there are two sides for angle H for the segment IJ. From that we can see that angle H is a supplementary angle. A supplementary angle is an angle whose sum is 180°So: (2m+10)°+(5m+100)° = 180°(7m+110)° = 180°(7m)° = 70m = 10

A person becomes instagram famous when they have more that 5,000. Dmytryus currently has 2,000 followers. For every 500 likes a photo of his gets, he gains 20 followers. a.) what is the slope and what does it represent in this situation? b.) How many likes does Dmytryus need before he will become instagram famous? ANSWER THIS IS URGENT!!!!!

Answers

Answer:

a. 25/1, likes per follow b. 75,000 likes

Step-by-step explanation:

The slope is the likes per follow, which is 500/20 simplified to 25/1.  To find how many he needs for answer b, you first need to find how many more followers he needs, which is 3000.  You then multiply the number of likes per follow by the number of followers needed, 25x3000.  Dmytryus needs 75000 likes to become Instagram famous.

What are polynomials? pls help, I don't understand!!!!!!​

Answers

Answer:

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.

Answer:

They are expressions with variables. For example, 2x + 5 - 7x. That would be a polynomial.

what would be equivalent to 32 ⋅ 35?

Answers

Step-by-step explanation:

35•32 or 1120 there you go

Use Similar triangles to calculate the height, h cm, of traingle ABE

Answers

Answer:

  24 cm

Step-by-step explanation:

Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.

Then the bottom height (h) ratio to the overall height is ...

  h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36

The height h is 24 cm.

Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8

Answers

Answer: No solution

Step-by-step explanation:

To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.

(2x+y=4)2

-4x-2y=8

-------------------------------------------------------------------------------------------------------------

4x+2y=8

-4x-2y=8

Let's add both equations together.

0=8

-------------------------------------------------------------------------------------------------------------

Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.

2x+y=4              [subtract both sides by 2x]

y=-2x+4

-4x-2y=8           [add both sides by 4x]

-2y=4x+8          [divide both sides by -2]

y=-2x-4

-------------------------------------------------------------------------------------------------------------

If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.

yes I am so certainly brainly right now

Answers

that’s so coool can’t relate

What is that supposed to mean

write two inequaltities to compare -5 and -3​

Answers

-5 < -3 and the second inequality is -3 > -5

1.6.AP-9

A family is comparing different car seats. One car seat is designed for a child up to and including 25 lb. Another car seat is designed for a child between 16 lb and 35

Ib. A third car seat is designed for a child between 25 lb and 95 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a

33-lb child?

The inequality for a child up to and including 25 lb is

(Simplify your answer. Type a compound inequality using x as the variable.)

Answers

Answer:

a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95  

b. The second and third car seats are appropriate for a 35 lb child.

Step-by-step explanation:

a. Model those ranges with compound inequalities

Let x represent the car seat.

i. A car seat designed for a child weighing up to  and including 25 lb is described by the inequality.

x ≤ 25

ii. A car seat designed for a child weighing between 16 lb  and 35 lb is described by the inequality.

16 < x < 35

iii. A car seat designed for a child weighing between 25 lb  and 95 lb inclusive is described by the inequality.

25 < x ≤ 95

b. Which car seats are appropriate for a  33-lb child?

Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.

x[8x + (-4)x]² - (4)-(-6)x

Answers

here is the answer i got with my calculator

I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?

( I actually need to know I'm pulling an all nighter to reset my sleep schedule) ​

Answers

Answer:

11 hours and 22 minutes

a profit of 9$ integer

Answers

Answer:

+ or - $9

Step-by-step explanation:

How do I solve this problem?​

Answers

Use the Pythagorean Theorem.
a^2 + b^2 = c^2
2^2 + 3^2 = c^2
4 + 9 = 13
square root of 13 = 3.6055...
round to the nearest hundredth..
The answer is 3.61 cm
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