A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.

Answers

Answer 1

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]


Related Questions

Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2

Answers

Answer:

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

Step-by-step explanation:

Given

Options A to D

Required

Determine which is true

Option A:

[tex]-\frac{38.44}{6.2} = 6.2[/tex]

[tex]-6.2 = 6.2[/tex]

This is not true

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

[tex]-6.2 = -6.2[/tex]

This is true

There is no need to check further

Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?

Answers

Answer:

Step-by-step explanation:

Yes, she does

Answer:

Yes, she does

Step-by-step explanation:

Suppose f(x) = x^3 + 1. Find the graph of
f(2x).

Answers

Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

Answer:

Mga madlang pipol. The answer is graph 2

Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest

Answers

3 first 2 lgbdjrhfdbbnxvmglkzbldldetlfHlf flan

A: 5x²+3xy +2y B: 2y²-xy +4x²
С: 12xy+4x²-3y. then :- 1) А-В-С , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest ​

Answers

Answer:

-3x² -2y² -8xy +5y

34x² + 51xy - 8y + 6y²

7x² - 11xy +12y - 8y²

Step-by-step explanation:

Given:

A: 5x²+3xy +2y

B: 2y²-xy +4x²

С: 12xy+4x²-3y

Find:

1) А-В-С

2) 2A+3B+4C

3) 3A-4B--2C

Computation:

1) А-В-С

5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]

5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y

-3x² -2y² -8xy +5y

2) 2A+3B+4C

2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]

10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y

34x² + 51xy - 8y + 6y²

3) 3A-4B-2C

3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]

15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y

7x² - 11xy +12y - 8y²

What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02

Answers

Answer:

2

Step-by-step explanation:

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

m=(-2-2)/(-4-(-2))

m=-4/(-4+2)=-4/-2=2

choose the two number sentences that are true a.5+7=11+2 b.3+8=20-9 c. 5+9=19-4 d.12+7=5+14 e.18-6=15-2

Answers

Answer:

B) 3+8=20-9 & D) 12+7=5+14

Step-by-step explanation:

3 + 8 = 11, 20 - 9 = 11

12 + 7 = 19, 5 + 14 = 19 :)

if sin theta = cos theta,theta is an acute angle then tan theta=?
please answer within one hour
I will mark u brainliest​

Answers

sin θ = cos θ

when cos θ = 0

θ = π/2

sin θ
-------- = 1 , θ≠ π/2
cos θ

tan θ = 1

θ = arctan (1)

θ = π/4

Answer:

hope it helped have a good day mate

Solve for xxx.
Your answer must be simplified.
15 < -5 x

Answers

Answer:

x < - 3

Step-by-step explanation:

Given

15 < - 5x

Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity

- 3 > x , that is

x < - 3

The simplified expression is x < -3.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is 15 < -5x

⇒ [tex]15 < -5 x[/tex]

Divide both sides by -5,

⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]

When we divide an inequality with negative number, we need to change the sign,

⇒ [tex]-3 > x[/tex]

⇒ [tex]x < -3[/tex]

Hence we can conclude that the simplified expression is x < -3.

Learn more about inequalities here

https://brainly.com/question/22406619

#SPJ2

AI need help with this math homework ASAP I need the independent variable the dependent and the equation

Answers

Answer:

b is the independent variable

c is the dependent variable

Step-by-step explanation:

Answer:

b

Step-by-step explanation:


What is the GCF of 45x^5
and
36x^9

Answers

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

How do I solve this??? LOL

Answers

Answer: y=8

Step-by-step explanation: 4y-4+3y=52

please help mee

Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.

Answers

Answer:

9x+15, and I used the distributive property

Step-by-step explanation:

Answer:

distributive property

9x+15

Step-by-step explanation:

The distributive property is whenever you have () and distribute until you have zero of these ()

The equivalent expression simply means write this equation differently.

6.On Saturday, Jane likes to work out, eat, and read a book. She will either lift weights, run, or hike. Then she will choose 1 of the 6 restaurants near her home, and read either Harry Potter, Catcher in the Rye, or Girl on the Train. How many different ways can she spend her Saturday?

Answers

Answer:

Number of different ways can she spend her Saturday = 54

Step-by-step explanation:

Jane has to do three types of things - Work out , Eat and Read a book

In Work out -

She either lift weights, run, or hike

In Eating -

She will choose 1 of the 6 restaurants near her home

In Reading -

Read either Harry Potter, Catcher in the Rye, or Girl on the Train

Number of ways in which she can work put = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]

Number of ways in which she can eat = ⁶C₁ =  [tex]\frac{6!}{1! (6-1)!} = \frac{6!}{5!} = 6[/tex]

Number of ways in which she can read =  ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]

So, Total number of ways = 3×6×3 = 54

Use distributive property to rewrite each algebraic expression: 8(s + 5)

Answers

Answer:

8s + 40

Step-by-step explanation:

8*s = 8s

8*s = 40

8s + 40

Answer: The correct answer is 8s+40

Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]

Write your answer in simplest radical form, units​

Answers

Answer:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.

Step-by-step explanation: I just had this problem on ixl and it gave me the answer

find the intercept of the line please help

Answers

Answer:

x-intercept:   -5/2

y-intercept:   15/4

Step-by-step explanation:

to find x-intercept set y = 0

-6x + 4(0) = 15

-6x = 15

x = -15/6

x = -5/2

to find y-intercept set x = 0

-6(0) + 4y = 15

4y = 15

y = 15/4

Answer:

y-intercept is -2.5 and x-intercept is 3.75

Step-by-step explanation:

I posted a photo on how I got this

Hope this helped

Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?

Answers

Answer:

195.65

Step-by-step explanation:

Answer:

100%-29% = 71%

568/0.71 = 800

price was $800

Step-by-step explanation:

If I'm wrong I'm sorry

If I'm right Thank you and (Brainliest plz )

What is the x-value of the solution to the system of equations?
5x + 4y =8
2x -3y = 17
-3
O -2
O 4
O5

Answers

Answer:

-234

Step-by-step explanation:

5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234

Round The Following Number: 194,332.125

Answers

1554657/8

explanation

At a restaurant, the cost for one breakfast taco and one glass of milk is $2.10. The cost for two tacos and three glasses of milk is $5.15.

Write a system of equations to represent this situation. DO NOT SOLVE.
Let x = # of tacos and y = # of glasses of milk.

Answers

Answer:

2x+3y=5.15

Step-by-step explanation:

The answer is : x + y = 2,10
2x + 3y = 5,15

solve the inequality -3x + 6 > -2​

Answers

Answer:

x<8/3

Step-by-step explanation:

Your answer is x is less than 8 over 3

Answer:

Answer is d

Step-by-step explanation:

x<8/

A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.

1. What is the unit rate of cream cheese for sugar?

2. what is the unit rate of sugar for cream cheese?

(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)

Answers

Answer:

the unit rate of cream cheese for sugar is .8

the unit rate of sugar for cream cheese is 1.25

Step-by-step explanation:

I hope this is correct / helps! :)

Felix said quadrilateral ABCD is a parallelogram because
BE = DE. What was his error?

Answers

Answer:

There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.

Step-by-step explanation:

To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.

Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"

Solve this equation:

-5(x - 2) - 3x = -80

Answers

Answer:

x=45/4

Decimal Form:

x=11.25

Mixed Number Form:

x=11 1/4

Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.

HAVE A GREAT DAY! ❤️

If the blue radius below is perpendicular to the chord , which is 14 units long, what is the length of the segment ?

Answers

Answer:

The answer is 7 bc 7 is half of 14

Step-by-step explanation:

I need help with math

Answers

Answer:

0,-2        0,-5

2,-3          1,-4

Step-by-step explanation:

Can you help me please

Answers

Answer:

D?

Step-by-step explanation:

if i got it wrong im truly sorry

The answer is A the common ratio is 2


Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan

Answers

Answer:

288,40 $

Step-by-step explanation:

25,80$ / month * 48 months = 1238,40$ total payment.

1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.

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