the number of fish in a lake decreasing by 400 every year,as described by the function below. f(1)=8200 f(n+1)=f(n)-400 what will be the value

Answers

Answer 1

The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

Where [tex]\mathbf{f(1) = 8200}[/tex]

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

So, we have:

[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]

Add 1 and 1

[tex]\mathbf{f(2) = f(1) - 400}[/tex]

Substitute 8200 for f(1)

[tex]\mathbf{f(2) = 8200 - 400}[/tex]

Subtract

[tex]\mathbf{f(2) = 7800}[/tex]

Hence, the value of f(2) is 7800

Read more about sequence at:

https://brainly.com/question/18109692


Related Questions

help on #8 please??
question is in picture

Answers

Answer:

x = 6

Step-by-step explanation:

To get rid of the fraction at the left side of the equation, multiply both sides by 4

20x + 60 = 180 now subtract 60 from both sides

20x = 120 divide both sides by 20

x = 6

One number is twice another number. The sum of their reciprocals is 6. What are the numbers?

Answers

Answer:

8 and 2

Step-by-step explanation:

Answer:

1/4 and 1/2

Step-by-step explanation:

One number is twice another number.

x and 2x

The sum of their reciprocals is 6

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6

Use common denominator of 2x

[tex]\frac{2}{2x}[/tex] +  [tex]\frac{1}{2x}[/tex] = 6

[tex]\frac{3}{2x}[/tex] = 6

multiply botn sides by 2x

3 = 12x

Divide both sides by 12

1/4 = x

x = 1/4

2x = 1/2

The numbers are

1/4 and 1/2

Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
NO LINKS!!!!!!!
What is the approximate discount on the calculator?


20%

25%

30%

35%

Answers

Answer:

A 20

Step-by-step explanation:

If you subtract 89.99 -68.25 you will equal 20

Help! I don't know if this is correct.

Answers

Answer:

alternate interior angles, alternate exterior angles, CORRESPONDING angles, VERTICAL angles

Step-by-step explanation:

The first two are correct but you mixed up the last two.

Corresponding angles have to be on parallel lines.

Vertical angles are opposite angles created by an intersecting line.

Hope this helps!!!

First rewrite the expression by combining like terms 1/2(13x+5x-6-8x+14)=1/2

Answers

Answer:

1/2(10x+8)

Step-by-step explanation:

Combine like terms

13x+5x+(-8x) and -6+14

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?.

Answers

The residual column is given by the difference between the given values

and the values from the fitted line.

The values of a and b are; a = -0.4 and b = 0.18

Reasons:

The line of best fit equation is; y = 2.55·x - 3.15

The 4-column table is presented s follows;

[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]

Required:

The values of a and b

Solution;

The residual is given by the difference between actually observed value and the predicted value

RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b

Where;

[tex]y_i[/tex] = The given value at point i

[tex]x_i[/tex]·b = The predicted value at point i

Therefore;

At x = 1, the residual = -0.7 - (-0.6) = -0.1

At x = 2, the residual = 2.3 - 1.95 = 0.35

At x = 3, the residual = a = 4.1 - 4.5 = -0.4

Therefore;

a = -0.4

At x = 4, the residual = b = 7.2 - 7.02 = 0.18

Therefore;

b = 0.18

Learn more about line of best fit here:

https://brainly.com/question/1504320

plzzz need urgent help I will give brainlist

Answers

I just answered the second one on your last published question , so I'm solve the first one :

[tex]2x - y \leqslant 5[/tex]

[tex]x + 2y > 2[/tex]

There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .

I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :

Option 1 : ( 1 , - 1 )

[tex]2(1) - ( - 1) \leqslant 5[/tex]

[tex]1 + 2( - 1) > 2[/tex]

So ,

[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]

[tex] - 1 > 2 \: \: \: \: \: false[/tex]

So this is not the correct option ..

_____________________________________________

Option 2 : ( 4 , 1 )

[tex]2(4) - 1 \leqslant 5[/tex]

[tex]4 + 2(1) > 2[/tex]

So,

[tex]7 \leqslant 5 \: \: \: \: false[/tex]

[tex]6 > 2 \: \: \: \: true[/tex]

Nope ...

_____________________________________________

Option 3 : ( 2 , 0 )

[tex]2(2) - 0 \leqslant 5[/tex]

[tex]2 + 2(0) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: true[/tex]

[tex]2 > 2 \: \: \: \: \: false[/tex]

Nope....

_____________________________________________

The answer must be Option 4 bcuz there's no more options left but let's check it out :

Option 4 : ( 3 , 2 )

[tex]2(3) - 2 \leqslant 5[/tex]

[tex]3 + 2(2) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]

[tex]7 > 2 \: \: \: \: true[/tex]

There it is ....

7. E(5, 4), F(8, 1) what is the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

= 1 - 4 / 8 - 5

= -3 / 3

= -1

Find the perimeter. Simplify your answer.

Answers

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

PLEASE HELP!! Ill GIVE BRAINLIST IF RIGHT!! Refer to this table, which Francine, Geraldo, and Jennifer made during a bicycling trip. It shows the distance each person traveled during the first four hours of their trip. The table shows the distance covered while the students were actually biking. (Time is not counted when they stop to rest, eat, etc.) (Picture below)




Answers

Answer:

d = 4.5t

Step-by-step explanation:

Based on the table...

Francine covers:

9 miles in 2 hours

AND

18 miles in 4 hours

(You can use either one for this)

All you have to do is divide the [tex]\frac{miles}{hours}[/tex]....

So, we can set up the fraction [tex]\frac{9 miles}{2 hours}[/tex]

[tex]\frac{9}{2} =4.5[/tex] ...

So, knowing that 2 (time) · 4.5 = 9 (miles)...the answer would be

d(miles) = 4.5t (time)

So, the answer is d = 4.5t

Hope this helps!!!

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Choices for the first blank :
(SSS)
(SAS)
(AAS)
(ASA)
(AAA)
(SSA)
(HL)

Second blank choices :
Can be proven or cannot be proven congruent

Answers

Answer:

They are congruent by HL

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

2 right triangles.

Hypotenuse and 1 leg are congruent.

Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0

Leave your answer in the form y=mx+c

Answers

Answer:

y=-3x+5

Step-by-step explanation:

it parallel to 3x+y+2=0 => line is: 3x+y+c=0

It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5

Line is 3x+y-5=0 => y=-3x+5

Answer:

Since it’s parallel to 3x+y+2=0 then it must be of the form 3x+y+k=0. Since (3,-4) is on the line we have 0=3*3-4+k=k+5, therefore k=-5 and the equation is 3x+y-5=0

In the form y=mx+c this becomes y=-3x+5

Out of 1700 people 49% were females how many more males than females were at the concert?
Pls explain how

Answers

Answer: 51% were males

Which means that there were 1% more males than females = 34 more males than Females

Step-by-step explanation:

100%-49%=51%

51%-49%=1%

1700x49%=833 females

1700x51%=867 males

867 Males -833 Females = 34 more Males

i need help with something pls help asap​

Answers

Answer: h < 7

Step-by-step explanation:

h + 3 < 10

h + 3 - 3 < 10 - 3

simplify:

h < 7

Robert is making a photo album. 12 photos fit on a page. How many pages will he need for 432 photos?

Answers

Answer:

12 photos fit on page = 1

432 photos fit on page = 432/12

= 36 pages

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

36 pages

Step-by-step explanation:

There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:

[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]

You can see that the units for photos cancel out, resulting in units for pages.

So, Robert will need 36 pages in order to fit all 432 photos into his photo album.

#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?

Answers

Answer: France

Step-by-step explanation:

Marco is working with the equation s=kw his teacher told him that’s a varies directly with w if Marco substitutes 300 for s and 60 for w which of the following would be valid

Answers

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

Help please I don’t know how to do it

Answers

an integer is just a whole number, so like 3 or 6 or 17. any number without a decimal.
The question is asking what number is less than 2 and 8.
the answer could be 5 or 3 or 4

How do you make a circle graph without any extra space?

Answers

Answer:

draw a circle, and draw the degrees

Step-by-step explanation:

A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories

are in 2 cups of trail mix?
what is the answer plz ?

Answers

Answer:

1080

Step-by-step explanation:

in 135 calories there is 1/4 cup

? there is 2 cup

135×2=270 ÷1/4

270×4=1080 cups of trail mix

Please someone answer these for me this is confusing this is a major try to find the domain range and end behavior for all of these

Answers

Answer:?? I don't understand that sorry, I'm unhelpful

Step-by-step explanation:

Jordan and Ben exercise at the same gym. The table below shows the number of calories they burned in each of their last 5 workouts.
How many calories would ben need to burn in his next workout to have the same average as Jordan? ​

Answers

Answer: The answer is 55 more calories than jordan in the next session

Step-by-step explanation: So sorry, I am bad at explaining :(

Answer:

  760 calories

Step-by-step explanation:

Jordan's average is ...

  (850 +674 +729 +658 +614)/5 = 705

Then the total number of calories Ben needs to burn in 6 sessions is ...

  705×6 = 4230

So far, Ben has burned ...

  716 +635 +802 +687 +630 = 3470 . . . calories

So, in his next session, Ben must burn ...

  4230 -3470 = 760 . . . calories

To have the same average after 6 sessions that Jordan now has after 5 sessions, Ben must burn 760 calories in his 6th session.

Can someone answer this with a short clip of singing a song for 100 points and Branielist. PLLLSSSSS ACTUALLY DO ITTTT

Answers

Answer:

ok

Step-by-step explanation:

hold on

Chaos theory worksheet

Answers

Image does not load please re upload

Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?




3/5 = 60%



0.06 = 60%



0.002 = 2%



1/4 = 75%

Answers

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

Can someone solve 33 and 34 for me

Answers

Answer:

33. 320 (D)

34. 5 (A)

Step-by-step explanation:

33.

(14+3+3) x (10+3+3)

17+3 x 13+3

17x16

320

34.

P(28)=x+x+(x+4)+(x+4)

28=4x+8

-8       -8

20=4x

/4   /4

5=x

309x29 WORK MUST BE SHOWN PLSSSS

Answers

Answer:

8961

Step-by-step explanation:

    3 0 9

×       2 9

____________________________

+   2 7 8 1

+   6 1 8  

____________________________

=  8 9 6 1

what is 846837947+858

Answers

Answer:

846,838,805

Step-by-step explanation:

Add 846837947+858

For his car, Benny paid $70.96 on speakers and $83.52 on new tires with
wo $100 bills. How much did Benny get in change?

Answers

Answer:

If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.

Explanation:

$70.96 + $83.52 = $154.48

2 Hundred Dollar Bills = $200.00

$200.00 - $154.48

what is 75 percent of 18

Answers

Answer:

13.5

Step-by-step explanation:

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