Someone please help me ASAP

Someone Please Help Me ASAP

Answers

Answer 1

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.


Related Questions

There are 3 space helmets and you take away 2,how many do you have?​

Answers

Answer:

1 space helmet

Step-by-step explanation:

subtract 3-2 = 1 helmet

Find the median of these numbers:4,2,7,4,3 *

Answers

Answer:

4

Step-by-step explanation:

median: the middle value. to find this, arrange your numbers in order from least to greatest and find the one in the middle. if there are two in the middle, add them and then divide by 2.

4, 2, 7, 4, 3 → 2, 3, 4, 4, 7

since 4 is in the middle, that is your answer

The median of the sequence is 4.

What is the median?

One of the three methods of measuring central tendency is the median. The centre point of a data set is indicated while describing it. The measure of central tendency is this. The mean, median, and mode are the three most popular methods for calculating central tendency.

Given the sequence 4,2,7,4,3,

to find median arrange the values in ascending order,

2, 3, 4, 4, 7

since the sequence has 5 digits so the median is the middle term,

center digit is 4,

median is 4.

Hence the median is 4

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1/2 (16x + 20)
Need help

Answers

Answer: let's say x = 1

16 x 1 =16

16+20=36

36x1/2=18

Step-by-step explanation:

The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calculate the length of the missing side. Show your work.

Answers

Answer:

Ratio: 3:2

LN = 18

Step-by-step explanation:

"similar" means that all the angles are the same and the sides were all increased by the same proportion.

Thus, we know that MN/YZ = LM/XY = NL/ZX

First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.

MN/YZ = 15/10 = 3/2

(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)

To find the missing side, we simply multiply XZ by 3/2.

12 * 3/2 = 18, so LN = 18.

Can you help me on question one?!

Answers

Answer:

I believe the answer is C

Answer:

I think answer is C

Step-by-step explanation:

Becausr A B AND D ARE SAME FORM OF WRITTING

Jeffrey has an aquarium in the shape of a rectangular prism. He is going to place a layer of sand over the base for his iguana. The area of the base of the aquarium can be represented by the expression (42x3−14x2+21x) feet3. If the width of the aquarium is represented by the expression (7x) feet, what is the length of the aquarium?

Answers

Answer:

[tex]Length = 6x^2 - 2x + 3[/tex]

Step-by-step explanation:

Given

[tex]Area = 42x^3 - 14x^2 + 21x[/tex]

[tex]Width = 7x[/tex]

Required

Determine the length of the aquarium

The area of a rectangular base is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Width

[tex]42x^3 - 14x^2 + 21x = Length * 7x[/tex]

Make Length the subject

[tex]Length = \frac{42x^3 - 14x^2 + 21x}{7x}[/tex]

Factorize the numerator

[tex]Length = \frac{7x(6x^2 - 2x + 3)}{7x}[/tex]

[tex]Length = 6x^2 - 2x + 3[/tex]

The principal at a school recorded the color and make of all vehicles in the student parking lot. From the data, the following probability model was created about the colors of the vehicles.
A 2-column table with 4 rows. Column 1 is labeled outcome with entries red, black, white, other. Column 2 is labeled probability with entries 0.28, 0.30, 0.22, 0.20.
Which pairs of events about a vehicle are mutually exclusive? Check all that apply.
The events red and black
The events white and two door
The events white and other
The events black and truck
The events red and other

Answers

Answer:

1, 3, 5

Step-by-step explanation:

EDG 2020-2021 Stats

The events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.

What is probability?

The probability is defined as the chances of happening any event. Mutually exclusive events are those in which the one event is independent of the other event.

The condition for the mutually exclusive event will be:

[tex]P(A|B)=\dfrac{P(A) \ and P(B)}{P(A)}=P(A)[/tex]

We have the data

red,    0.28

black,  0.30

white,  0.22

other   0.20

Here we will check the mutually exclusive event:-

(1)The events red and black

[tex]P(R|B)=\dfrac{P(R\ and\ B)}{P(B)}[/tex]

[tex]P(R|B)=\dfrac{0.28\times 0.30}{0.30}=0.28 =P(R)[/tex]

Hence the event is exclusive.

(2)The events white and other

[tex]P(W|O)=\dfrac{P(W\ and\ O)}{P(O)}=P(W)[/tex]

[tex]P(W|O)=\dfrac{ 0.22\times 0.20}{0.20}=0.22=P(W)[/tex]

Hence the event is exclusive.

(3) The events red and other

[tex]P(R|O)=\dfrac{P(R\ and\ O)}{P(O)}=P(R)[/tex]

[tex]P(R|O)=\dfrac{ 0.28\times 0.20}{0.20}=0.28=P(R)[/tex]

Hence the event is exclusive.

Hence the events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.

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The tape diagram represents an equation. 7 Write an equation to represent the image. + Report a problem​

Answers

Step-by-step explanation:

y+y = 7

.................

Y+y=7 ................ ! Hope this helped

It’s due late tonight can some pls help me pass

Answers

Answer: C
The x row goes up every time by two and the y decreases by 4.
6-4=2 ect...
MARK THE BEST PLZ!!

How old am I if, eighty reduced by 2 times my age is fifty-six

Answers

You are 12 years old

One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers

Answers

Answer:the two numbers are 2 and 19

Step-by-step explanation:

Let one of the numbers be x

and the second be   7+ 6x

so that the sum of the two numbers which totals 21 be expressed as  

x + (7+ 6x) = 21

x+ 7+6x= 21

7 + 7x = 21

7x= 14

x= 14/7 = 2

one of the numbers = 2

the other number given as

7+ 6x = 7+ 6 x 2= 7+12= 19

The numbers are 2 and 19 .

The numbers as described in the question are; 2 and 19

Solving word problems

From the given problem statements;

The first number = y

The second number = x

Hence, y = (7 + 6x)

Their sum is therefore;

x + 7 = 6x = 21

7x = 14

x = 2

Hence, the second number is; 7 + 6x = 7 + 6(2);

y = 19

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Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.

Answers

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71

erica planted 8 cucumber plants each plant had 37 green cucumbers. how many cucumbers are the 8 plants altogether ​

Answers

Answer:

296

Step-by-step explanation:

8 plants × 37 on each = 296 cucumbers

Answer: 296

If you multiply the 37 green cucumbers each by the 8 cucumber plants they grew from, you'd end up with 296 green cucumbers altogether.

Which is greater. 12 laps in 8 minutes or 16 laps in 10 minutes

Answers

Answer:

16 laps in one minute

Step-by-step explanation:

If you divide it you can find that the person will run 1.6 laps in a minute and the other one will run 1.5 laps in 1 minute.

the cost of New York Yankees baseball cap is 24.00. The local sporting goods store sells it for $30.00. markup rate​

Answers

The answer is 25 percent

What is this picture an example of ?
A. Translation
B. 90 degree
C. 270
D.reflection

Answers

Answer:

(B). 90 degree

Step-by-step explanation:

it's not a or c or D it's only B

Write an equation for the function whose graph is described.
The shape of f(x) = |x|, but shifted 19 units up and then reflected in the x-axis

Answers

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

What is the slope-intercept equation of this line? (0.6) (4.-2)​

Answers

Answer: y=-2x+6

Step-by-step explanation:

The equation for slope-intercept form is : y=mx+b

m=slopeb=y-intercept

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

First Step: find the slope

- (y2-y1)/(x2-x1)

GIven

x1=0

y1=6

x2=4

y2=-2

Solve

 (y2-y1)/(x2-x1)

=(-2-6)/(4-0)

=-8/4

=-2

Second Step: find the y-intercept

Given

y=-2x+b

Substitute one of the points into the equation

y=-2x+b

(-2)=-2(4)+b

-2=-8+b

b=6

Hope this helps!! :)

Please let me know if you have any questions

The perimeter of a rectangular carpet is 94 yards. Its width is 19 yards.
How long is the carpet?
label required

Answers

Answer:

28 yards

Step-by-step explanation:

Perimeter=2(L)+2(W)

94=2(L)+2(19)

94=2(L)+38

-38       -38

56=2(L)

÷2  ÷2

28=L

what is 900 * 158000​

Answers

Answer:

142,200,000

Step-by-step explanation:

Used Calculator

Answer:

142200000

Step-by-step explanation:

It's a really long answer

Jamal spent 1 1/2 hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied what fraction of an hour did ruby spend studying

Answers

Answer:

First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.

Step-by-step explanation:

Choose the model that matches the situation.

A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,

[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]

Hence, the fraction of an hour for which Ruby studied is (1/2).

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what is the square root of 36

Answers

Answer:

6 !

Step-by-step explanation:

since 6 x 6 = 36, the square root is 6 !

square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!

im not sure if that makes any sense, but i hope it helps !!

A rental car company charges a fee of $150.00 for renting a car for a week plus $0.25 per mile driven.

Answers

Answer:

y = 150z + .25x

y = $ amount of rental

z = weeks rented

x = miles driven

i hope this helps :)

PLEASE HELP,, WILL GIVE LOTS OF POINTS & BRAINLY

Answers

Answer:

the amplitude is 3/2

the vertical shift is 0

Step-by-step explanation:

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate

Find his average speed in kilometers per hour.

Answers

Answer:

12 2/3 KMPH

Step-by-step explanation:

3 1/6 x 4 (reciprical of 1/4) = 12 2/3

Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?

A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet

Answers

Answer:

34

Step-by-step explanation:

At this weekend’s football game, 15 out of the first 50 people who entered the field were not wearing hats. If this sample is representative of the 250 people attending the game, about how many of them will probably NOT be wearing hats?

Answers

250/50=5
5x15=75
75 people out of 250 will NOT be wearing hats

75 people out of 250 will NOT be wearing hats.

At this weekend's football game, 15 out of the first 50 people entered in the field were not wearing hats.

The number of people attending the game is 250.

What is Probability?

Probability is a measure of the likelihood of an event to occur.

Now,

Probability for not wearing hats;

⇒ 250/ 50 = 5

⇒ 15 x 5 = 75

Hence, 75 people out of 250 will NOT be wearing hats.

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A poll is taken to see which candidate students will elect as class president. 43% of
students say they will vote for Alessandra. The poll has a margin of error of 3%, so the
least and greatest percent she could receive is represented by la – 431 = 3, where a is
the actual percent of students that vote for Alessandra. What is the lowest percentage of
votes she could receive?

Answers

Answer:

The lowest percentage of votes she could receive is 40%

Step-by-step explanation:

43% of students say they will vote for Alessandra, with a margin of error of 3%.

This means that between 43% - 3% = 40% and 43% + 3% = 46% of the students will vote for Alessandra.

This means that the lowest percentage of votes she could receive is 40% and the highest is 46%.

I need help with math

Answers

Answer:

6:3

Step-by-step explanation:

Please answer
Will give brainlst

Answers

Answer:

The answer is C

Step-by-step explanation:

There are other examples but C

Answer:

Step-by-step explanation:

A: not correct. You're changing phase. That's a physical change.

B: not correct. You are just changing the shape of something. That is physical as well. No electrons moving around is involved.

C: Here's your answer. Anytime you get a gas given off you can suspect that a chemical reaction has taken place.

D: Not true. A mixture formation is not a chemical reaction

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