Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish

Answers

Answer 1

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes


Related Questions

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

Please answer all of the 3.
PLEASE! And I’ll give you 5 stars and a Thanks?! :)

Answers

Answer:

7) 2((7x12) + (7x2) + (12x2)

2(84 + 14 + 24)

2(122)

244

8) 2((13x4) + (4x6) + (13x6))

2(52 + 24 + 78)

2(154)

308

9) 2((4x15) + (4x8) + (15x8))

2(60 + 32 + 120)

2(212)

424

Step-by-step explanation:

A square pyramid has a base
edge of 5.5 yards and a height
of 3.25 yards. What is the
volume of the pyramid to the
nearest tenth of a yard?

Answers

Answer:

V≈25.06m³

Step-by-step explanation:

Unit Conversion:

a≈5.03m

h≈2.97m

Solution

V=a2h 3=5.032·2.97 3≈25.0551m³

8
.
y = 3x - 2
m=
b=

Answers

Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

Answer:  m = 3 , b = -2

Step-by-step explanation:

y = 3x - 2, we found out m and b by using the form y = mx + b, where m is the number in front of x.

Therefore we found out that m is 3, b is -2.

A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?

Answers

Answer:

$4,352 + $126.50= $4,478.50

Step-by-step explanation:

8.50 x 512 = 4,352

11.50 x 7 = 126.50

All together it equals

4,478.50

Hope this Helps! :)

A. Write each of the following decimals using digits.
21. Twenty-six hundredths
22. Nine tenths
23. Thirty hundredths
[tex]pls \: answer \: [/tex]

Answers

Answer:

21.0.26

22. 0.9

23.0.30

which represents the solution to the inequality -3x +5 > 14?

Answers

Answer:

x < -3

Step-by-step explanation:

Which set of three angles could represent the interior angles of a triangle?
O 26°, 510, 1030
O 290, 540, 1070
35°, 35°, 20°
10°, 90°, 90°

Answers

Answer:

26°,51°,103°

Step-by-step explanation:

sum of angles=180°

If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then.

Answers

Answer:

0.72

Step-by-step explanation:

According to the stock listing mentioned in the listing for Enam Telecom is

52 wk high = 122.86

52 wk low = 64.77

Div. = 3.45

Close = 99.14

Net change = 4.74

Now it is mentioned that lesser price i.e. 64.77 arised 48 days ago.

As yesterday closing price was 99.14

So,  the net change in value would be

= 99.14 - 64.77

= 34.37

For 48 days, the average change per day would be

= Total change ÷ number of days

= 34.37 ÷ 48

= 0.716

= 0.72

Answer:

is B. 0.72I

Step-by-step explanation:

Edge 2022

Which of the following months would be the darkest at the South Pole?
February
December
January
August

Answers

Answer:

February

Step-by-step explanation:

February would be the darkest at the South Pole. In the month of February, the temperature raises to -38 to -51 degrees over south pole.

Sue has 100dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coin does she have.

Answers

84 quarters and 4 dimes

Which expression is half as large as the sum of 464646 and 42?42?42, question mark
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
(46+42) \div 2(46+42)÷2left parenthesis, 46, plus, 42, right parenthesis, divided by, 2

(Choice B)
B
2 \div(46+42)2÷(46+42)2, divided by, left parenthesis, 46, plus, 42, right parenthesis

(Choice C)
C
2 \times (46+42)2×(46+42)2, times, left parenthesis, 46, plus, 42, right parenthesis AND LOOK AT SCREENSHOT

Answers

Choice C seems most likely correct since I’ve done most of my calculations in the calculator and it was the most near rounded number I’ve seen
The answer is A if you still need it

There are 40 students in The class. Nine of those students are girls. What is the number of boys in the class ?

Answers

Answer:

31 students

Step-by-step explanation:

3-4/5X-2/3–3/15+3/5divided by -3/2

Answers

Answer:

-2(6x-13)/15

Step-by-step explanation:

This is done by simplifying the expression as well as combining like terms

PLEASE HELP!!! :(
Consider the following figure
What is BD? ​

Answers

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

Could someone help me with this due in 2 hours!!!!! Been working on this for 6 hours choosing brainliest!!!!

Answers

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.

Question #1

Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.

This last side length must add up to 10 in to be greater than 11 in.

The least possible whole number that would fit this description would be 2 in.

10 in + 2 in > 11 in10 in + 11 in > 2 in 11 in + 2 in > 10 in

The missing side length should be labeled as 2 inches.

Question #2

We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:

2 in3 in4.5 in 6.5 in10 in13.5 in14 in15.5 in

We can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.

We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.

The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.

Therefore, the answer choices are:

B. 3 inC. 4.5 inD. 6.5 inE. 10 inF. 13.5 in Question #3

We are given these possible side lengths:

2, 4, 5, 6, 10

Let's test out which combinations will create a triangle.

2 + 4 > 5 5 + 2 > 44 + 5 > 2

The straw lengths 2, 4, and 5 will form a triangle.

2 + 5 > 6 5 + 6 > 22 + 6 > 5  

The straw lengths 2, 5, and 6 will form a triangle.

2 + 6 > 4 4 + 2 >/ 6

The straw lengths 2, 4, and 6 will NOT form a triangle.

4 + 5 > 66 + 5 > 4 4 + 6 > 5

The straw lengths 4, 5, and 6 will form a triangle.

5 + 6 > 10 10 + 5 > 66 + 10 > 5

The straw lengths 5, 6, and 10 will form a triangle.

We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.

[tex]{\sf{\bold\green{\fcolorbox{grey}{grey}{✅\:\:Verified\:\:answer}}}} [/tex]

Find the value of x in the image above

Answers

Answer:

Step-by-step explanation:

what is the coefficient in -x+9

Answers

Answer:

-1

Step-by-step explanation:

The coefficient is the number directly next to a given variable (typically 1 if there is no given number).

In this case, note the variable: -x

As stated above, the number is 1 if there is no number given. However, note that there is a negative sign, therefore, your coefficient is -1

-1 is your answer.

~

PLEASEEEE HELP ASAPPPP

Answers

Answer:

A is your answer

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

Little tip my teacher taught me in 5th or 6th grade ,look at which way the arrow is pointing and compare it to an inequality symbol (imagine the inequality symbol as the arrow).

In this case the arrow is pointing right , so which inequality symbol looks most like it?

Obviouslyy,the less than sign!

Also! , an closed circle means "or equal to" which is the line under the inequality symbol.

And an open circle basically means just the inequality symbol.

plsss help asap no wrong answers pls

Answers

Answer:

15

Step-by-step explanation:

15 x 15 = 225

Do the following set of points represent a function?Explain your answer (2,3),(3,8),(-1,4),(1,8)

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.

To have a function, you cannot use the same value for an x-coordinate more than once. Here, each value of an x-coordinate is used only once, so it is a function.

Answer:

Yes.

Step-by-step explanation:

It is a many-to-one function. Both 3 and 1 map to 8.

2 maps to to 3 and -1 maps to 4 which is one-to-one.

There are no one to many mappings  so it is a function.

8n + 5 = 77
this is for middle school

Answers

Answer:

n=9

Step-by-step explanation:

Answer:

n=9

Step-by-step explanation:

8n+5=77

8n=72

n=9

4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6

Answers

Answer:

No clue what the answer is...

Solve each equation b+3.3=8.9 what is b?

Answers

the answer will be 5.6 !

you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.

please mark brainliest if this was useful ♡

matthew scored a total of 168 points in basketball this season. He scored 147 of those points what perenct of his total points did he did score in the playoff game​

Answers

88% not sure but I think so if it’s not the answer I’m sorry.

15 less than twice the sum of 61

Answers

Answer: 38

Explanation the answer is 38

2. What is the product of the following expression?
2x(x2 + x-5)
A. 2x3 + x-5
B. 2x3 + 2x – 10
C. 2x3 + 2x2 – 5x
D. 2x3 + 2x2 – 10x
(Please help)

Answers

your answer is d!!!!

correct me if i’m wrong :)

What is the estimated situation.

Answers

Answer:

Please show more information!

Step-by-step explanation:

Answer:

Lookin good soldier. Troops are ripping through their pathetic defenses. They're already runnin for the hills.

hiw to graph y=-2X+2​

Answers

Answer:

(1,-4) and (0,2)

Step-by-step explanation:

Answer:

This is what it will look like

hii please help i’ll give brainliest!!

Answers

answer is D because statement mentions about evelyn applying brake to stop the car.

brainliest

it’s D i think it’s D because i have a feeling it’s D.
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