A wildlife refuge has 200 birds when it is first established. It is so
successful that the number of birds increases by 25% every year.
Write a function to model the situation.
Find the number of birds present after 7 years.

Answers

Answer 1

Answer:

[tex](a)\ f(x) =200(1.25)^x[/tex]

(b) 954 birds after 7 years

Step-by-step explanation:

Given

[tex]a = 200[/tex] --- initial

[tex]r =25\%[/tex] --- rate

Solving (a): The function.

This is represented as:

[tex]f(x) =a(1+r)^x[/tex]

So, we have:

[tex]f(x) =200(1+25\%)^x[/tex]

Express percentage as decimal

[tex]f(x) =200(1+0.25)^x[/tex]

[tex]f(x) =200(1.25)^x[/tex]

Solving (b): Birds after 7 years

This implies that we calculate f(7)

[tex]f(7) =200(1.25)^7[/tex]

[tex]f(7) =953.67[/tex]

[tex]f(7) =954[/tex] --- approximated


Related Questions

median 10 24 9 18 15 28 12 27 25 29 10 26

Answers

Answer:

The median is 21

Step-by-step explanation:

Since you have 12 numbers in order, that's an even number, once you put them in numerical order and start crossing them off on both sides, you'll have 18 and 24 left, add them together and divide them by 2 and you'll have your median 21.

28 and 12 are in the middle, so add them up you get 40
Divide by 2 = 20

Hope this helps :D

Help me plzzz

Stefan bought 3 hamburgers and 4 fries for a total cost of $26.50.

Answers

Answer:

6.50

Step-by-step explanation:

Answer:

6.50

Step-by-step explanation:

the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer

Help me please me it had to be rights

Answers

Answer:

x ≤ -7

Step-by-step explanation:

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters?

Answers

Answer:

216m^3

Step-by-step explanation:

find the area of the face 12m

times the face by the length

18×12=216

Answer:

216 meters³

Step-by-step explanation:

L=18     H=3    W=4

V=LWH

V=(18)(4)(3)

V=216 meters³

Which of the following equations has 4 as a possible value of z?

Answers

I think A is the answer

Answer:

a

Step-by-step explanation:

4 to the power of 4 is just 4x4 which equals 16

What is the slope of the line on the graph

Answers

Answer:

[tex]\displaystyle m = \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (-4, 0)

Point (0, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{2- 0}{0- -4}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{2}{4}[/tex][Fraction] Simplify:                                                                                             [tex]\displaystyle m = \frac{1}{2}[/tex]

Please please help me !!!

Answers

the second answer choice i belive

Answer:

D - x=y/12

Step-by-step explanation:

So lets just take one set of data from the table.

This is all we need.

So I am just going to set our values to:

x = 21

y = 252

Now lets plug this into each equation, ands ee if it is accurate or not:

21=12+252

=

21=264

Thats not right! Lets try the next one:

21 = 252/12

=

21 = 21

Thats correct! Lets just try the other ones anyway:

21 = 252 - 12

=

21=240

Thats not right! Lets try the last one:

21 = 12*252

=

21 = 52,424

That is most definatly not right!

So the answer is B, x=y/12

Hope this helps!

Consider these statements.
1. AB and AC are two sides of AABC and AB = AC
2. If two sides of a triangle are congruent, then the triangle is an
isosceles triangle.
Which conclusion can be drawn from these statements using
deductive reasoning?
A
m2ABC + m2ACB 90
B
AABC is an isosceles triangle.
с
Points A, B, and C are collinear.
BC = AC

Answers

Answer:

B

Step-by-step explanation:

if we match the two informations we can say that the triangle is isosceles

The ratio of dogs to cats at the animal shelter is 2:5. If there are 35 cats, how many dogs are there?

Answers

Answer:

Step-by-step explanation:

there are 18 dogs

Answer:

14

Step-by-step explanation:

So the ratio of dogs (2) to cats (5) is 2:5

How did we go from 5 to 35?

Multiply by 7

So multiply 2 with 7 which is 14

So there are 14 dogs

Hope this helps!

Find x such that x, 56, 65 is a Pythagorean triple.


Help ASAP

Answers

Answer: 59

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

b^2 = c^2− a^2 = 652 − 562 = 4225 − 3136 = 1089 =33^2

6.
Find the value of y.
160°
60°
50°

Answers

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Let a and b be real numbers where a 4640. Which of the following functions could represent the graph below?
Of(x) = x(x – a)2(x – 634
f(x) = x(x – a) (x - b)2
f(x) = AX - a)(x – b)2
F(X) = x2(x - a) 5(x – b)

Answers

I also need this too pleaseee huryy

Heres another photo ill
Post the word problem ina minute

Answers

To Find :

The area of green shaded region in given image.

Solution :

The area of green shaded region is given by :

Area = Area of outer square - Area of inner rectangle

Area = x² - ( x - 20)×( x - 25 )

Area = x² - ( x² - 25x - 20x + 500 )

Area = 45x - 500

Hence, this is the required solution.

5x+7=4 What is the first step in solving this equation

Answers

Answer:

The first step would be subtract 7 from both sides.

If correct, mark me brainliest!

[tex]Hope this helps[/tex]

Answer:

Your first step would be to subtract 7 from both sides of the equation

Step-by-step explanation:

5x+7=4

5x=-3

???????????????????????????????????///

Answers

Answer: is

59

Step-by-step explanation:

pls give brainly

please help!
Find the area of the circle.
Use 3.14 for pi

Answers

Answer: 153.94

Step-by-step explanation: Formula for area of a circle: pi * r^2

First find the radius by dividing the diameter by 2: 14/2 = 7

Then plug the radius, 7, and pi, 3.14, into the formula:

(3.14) * (7^2) = 153.94 inches squared

What is the perimeter of this equilateral triangle?
Choices
4
20
40
60

Answers

Answer:

60

Step-by-step explanation:

If it is an equilateral triangle the sides are equal

24-x = 5x

Add x to each side

24-x+x = 5x+x

24 =6x

Divide by 6

24/6 =6x/6

4 =x

Each side is 5x or 5*4 = 20

Add the 3 equal sides

20+20+20 = 60

The perimeter is 60

Answer:

60

Step-by-step explanation:

In this case, to find the perimeter, we need to know the value of at least one side.

Since this triangle is equilateral, [tex]5x=24-x[/tex].

Adding x to both sides results in [tex]6x=24[/tex], and subsequently, [tex]x=4.[/tex]

Now that we know x equals 4, we can plug this into either 5x or 24-x and find out that one of the sides is 20.

Equilateral triangles have three equal sides, so 20 times 3, or 60, is the perimeter. I hope this helped!

Solve the following equations:
a)
4b = 20

Answers

Answer:

b = 5

Step-by-step explanation:

You want to get b on one side alone so you divide by 4.

20 divided by 4 is 5.

Answer:

b = 5

Step-by-step explanation:

4b = 20

Whatever we do to one side of the equation, we have to do to the other.

To "isolate the variable", or get "b" by itself, we have to divide both sides by 4

4b divided by 4 is b, since "4b = 4 times b"

20 divided by 4 is 5

4b = 20

b = 5

Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3

Answers

Answer:6

Step-by-step explanation:

Which graph represents the function f(x) = 5x + 3?

6

5

A++

4

34

2

1

o

-6 -5 -4 -3 -2 -14

1

2

3

4

5

х

2

3

The graph of the linear equation can be seen below.

Which graph represents the given function?

Here we have the linear function:

y = 5x + 3

To graph this, we need to find two points on the equation and then connect them with a line.

By evaluating in 0 we get:

y = 5*0 + 3 = 3

So the point (0, 3) is on the line.

By evaluating on 1 we get:

y = 5*1 + 3 = 8

So we have the point (1, 8).

Now we just plot them and connect them with a line, the graph is the one below.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ5

Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.

Answers

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

14 + 2 = 16

In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

14 + 8 = 22

Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

Answer:

Use p = 2 and p = 8 to determine if the two expressions are equivalent.

   4(2 + p)    14 + p

Complete the statements.

If both expressions have the same value after substituting two different values and simplifying, then they are

✔ equivalent expressions

.

When p = 2, the first expression is

✔ 16

and the second expression is 16.

When p = 8, the first expression is 40 and the second expression is

✔ 22

.

The expressions are

✔ not equivalent

.

A triangle has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. Is it a right triangle?

Answers

Answer:

Yes it is!

Step-by-step explanation:

If you want to know whether it is, use the pytheoream theory. a2+b2=c2

a is the shortest side, b is the second longest and c is the longest.

In this case, the equation will be:

8 sq + 15 sq = 17 sq

64 + 225 = 289

= It is a right-angled triangle!

What is the coefficient in the following expression? 5a2-7​

Answers

Answer:

coefficient = 5

Step-by-step explanation:

Please Help!!



Find the measure of ∠3.




90°


130°


50°


40°

Answers

Answer:

59%it is true if you daer


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

πr²= 12.56

r²=12.56/3.14 = 4

r= 2

therefore , diameter = 2r = 2×2= 4 mm

Correct ^^^^^^^^^^^^^^

A card is drawn from a standard deck, put aside, and then another card is drawn. What is the probability that the first card is a king and that the second card is a queen?

Answers

1/221 chance of getting that exact outcome, pretty sure uwu

i play poker so i gotta learn stuff like this

find the value of b if side a measures 8.7 cm?



Answers

Answer:

The correct equation is 8.7 + b = 54.6

Step-by-step explanation:

because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.

Help please asap tysm! 10 brainly points! Will mark brainliest! if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

A = (-6,5)

B = (-6,-8)

Length = 5 -(-8)

Length = 13

calcula la longitud de la variable "x"​​

Answers

Answer:

x=20

Step-by-step explanation:

30°-60°-90°Δ

a=10

b=20

c=10[tex]\sqrt{3}[/tex]

x=b

x=20

in the figure below, p ||q.
find m 7 if m 8=116°

Answers

Answer:

m∠7 = 64°

Step-by-step explanation:

∠7 and ∠8 are supplementary meaning they add up to 180°.

m∠7 + m∠8 = 180°

m∠7 + 116° = 180°

m∠7 = 64°

Answer:

180-116=64

Step-by-step explanation:

Angles sums should be 180 since it is straight angle

Help I need help on this thanks !

Answers

Answer:  C) 4/5

=========================================================

Explanation:

Recall that y = mx+b is the slope intercept form

m = slope

b = y intercept

In this case, y = (4/5)x-3 has m = 4/5 as the slope and b = -3 as the y intercept.

In short, the slope is simply the number to the left of the x variable.

Answer: 4/5

Explanation: For linear equations (y=mx+b), m=the slope! in this case, the slope of y=4/5x-3 would be 4/5 :)
Other Questions
4 strategies that communities could engage in to protest gender based violence in their places which wave characteristic is the same for all electromagnetic waves traveling through a vacuum? What is the distance from Cto D?54D(5,3)32151 2 3C(2, -1-23-4-5OA. 5 unitsB. 25 unitsC. 7 unitsD. 1 unit The sum of two numbers is thirteen. Using x to represent the larger of the two numbers, translate "the difference between four more than the larger number and twice the smaller number" into a variable expression. Then simplify. What does the term "escalation" refer to?O A.increased economic opportunityO B. rioting and militant demonstrationsO C. rising inflationOD. troop build-up Which of the following bestexplains how refractingtelescopes work?A. uses curved mirrors to gather and focus lightB. uses curved surfaces to detect radio wavesC. uses sound waves to measure distancesD. uses a convex lens to gather and focus light Help PLSSS I will give brainlyest I suck at math this should be easy What conclusion can be reached regarding the Spanish-American War?1) The U.S. military proved itself weak and incapable of victory.2) The media has great influence in shaping public opinion.European power was in a period of great decline.4) International organizations played an important role in ending the conflict. Which of the following is the most important outcome of collaboration for a solitary artist?networking opportunitiesengaging in artistic conversationcreating new artistic techniquesdeveloping new skills write a letter to your friend about important of reading books? Mis padres y yo ______ enfadados.1. estoy2. estamos3. estn In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z? I need help from the smart English/LA nerds of brainly!! Please help ASAP, because this is timed and very important. No links or fake answers. Correct answers will receive brainliest. 1. Sabes dnde ________ el Hotel Hilton? _______ en la Plaza Mayor. _______ muy cmodo. A. es, est, est B. est, est, es C. est, es, es D. est, est, est2. Felipe ________ el mejor atleta del colegio. Hoy no juega en el partido de ftbol porque _______ enfermo. A. es, es B. est, est C. est, es D. es, est3. Claro, la leche _______ buena para los nios pero la leche que compraste ayer no _______ buena. ______ agria (sour). A. est, es, es B. es, est, est C. es, es, es D. est, es, esta4. Los pltanos _______ frutas tropcales. Esos pltanos _______ verdes porque no _______ maduros (ripe). A. son, estn, estn B. son, son, estn C. son, son, son estn, son, estn5. Caf _______ una bebida deliciosa pero este caf que _______ en la mesa. _______ horrible! A. es, es, es B. es, es, est C. est, est, es D. es, est, est6. Esos estudiantes _________ responsables pero hoy _________ un poco nerviosos porque tienen el examen final. A. estn, son B. son, son C. son, estn D. estn, estn7. Mara _______ triste porque no _______ en la fiesta. La fieta _______ en la casa de su amiga Rosa. A. est, es, es B. est, es, est C. est, est, est D. est, est, es8. Silvia _______ peruana (Peruvian) _______ de Lima. Hoy ________ de vacaciones en Barcelona. A. es, es, est B. es, est, est C. es, es, es est, est, est When an organism such as a yeast lives by fermentation, it converts the pyruvate from glycolysis into a different compound, such as alcohol. Why doesn't it secrete the pyruvate directly? Group of answer choices The conversion yields one NADH per pyruvate molecule. A buildup of pyruvate in the surrounding environment would be too toxic. The conversion is needed to regenerate the molecules needed for glycolysis. The conversion yields 32 ATP per pyruvate molecule. Given a function h: R R defined by h(x) = x3 + 2and a function g: R - R defined by g(x) = x2 + 5,find (hog)(2) and h-|(10). helppppWhat are the positive results of the French revolution? Your cousin Pablo gets his haircut, and it costs $12.00. What will he spend in total on his haircut if he includes a 12% tip? Tanning Company analyzes its receivables to estimate bad debt expense. The accounts receivable balance is $362,000 and credit sales are $1,000,000. An aging of accounts receivable shows that approximately 4% of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,400 before adjustment A)?B)?C)?D)?Which one?!