The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer 1

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691


Related Questions

.
Charlie has 6 more quarters than dimes in a jar and a total of $9.20. Which system of
equations can be used to determine the number of each type of coin Charlie has if
q=the number of quarters and d = the number of dimes?

Answers

Answer:

Addition.

Step-by-step explanation:

you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer

Which of the following sets of numbers could represent the three sides of a right
triangle?
O {9, 13, 15}
O {10, 24, 26}
O {40, 52, 65)
O {16,36,39}

Answers

The answer is either the first or second if u can put 2 down then both

Answer:

A,B

Step-by-step explanation:

sum of angles of a right angle triangle is 90 meaning the will either be 90 or less and both of them certify this law.

I need help please and thank you ​

Answers

the answer is c
have a good day

helppppppppppppppppp again

Answers

Answer:

hola xD

como estas?

Step-by-step explanation:

x=30

six times five =x

Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current interest rate is 7 percent. What might you expect to pay for the bond (aside from b

Answers

Answer:

Bond Price​= $1,070.24

Step-by-step explanation:

Giving the following information:

Cupon= $80

Number of periods= 10 years

Face value= $1,000

Interest rate= 7%

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]

Bond Price​= 561.89 + 508.35

Bond Price​= $1,070.24

There are 12 boxes of books to put on shelves can you spell it has 31 bucks each shelf holds 18 books Kevin estimates he will need 20 shells for all the books

Answers

Well if you do 31 books each box times 12 boxes you get 372 books and each shelf holds 18 books so if you do 372 divided into 18 books each shelf you would get 20 shelves
Hoped this helped

Someone plz help me have a great day ツ

Answers

Answer

What’s your scratch username

Answer:

11 weeks and 3 days

someone please help me with this!! I will mark brainliest

Answers

25/53 would be the simplest answer

please help and show work ​

Answers

Answer:

see explanation

Step-by-step explanation:

(3)

The opposite sides of a parallelogram are congruent, so

6x = 3x + 15 ( subtract 3x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

2y - 10 = y + 5 ( subtract 5 from both sides )

y - 10 = 5 ( add 10 to both sides )

y = 15

Then x = 5 and y = 15

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

(4)

The diagonals of a parallelogram bisect each other, thus

y = 4x - 6 → (1)

9x - 25 = 2y → (2)

Substitute y = 4x - 6 into (2)

9x - 25 = 2(4x - 6)

9x - 25 = 8x - 12 ( subtract 8x from both sides )

x - 25 = - 12 ( add 25 to both sides )

x = 13

Substitute x = 13 into (1)

y = 4(13) - 6 = 52 - 6 = 46

Then x = 13 and y = 46

Find the area of the triangle

Answers

Answer:

I believe the answer would be 12

Step-by-step explanation:

Lines AB, CD, and LK intersect as shown in the diagram . Find M

Answers

the last one is the answer

The measurement of ∠ CSK = 110.2°

What is Parallel line?

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that Lines AB, CD, and LK intersects at R and S respectively,

m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)

m∠LRB = m∠CSK  → (Alternate exterior angles)

m∠CSK + m∠RSC = 180°  → (Linear pair angles)

Therefore, m∠LRB + m∠RSC = 180°

(3x - 2)° + (2x - 5) =  180°

5x - 7 = 180°

5x = 187°

x = 37.4°

So, m∠CSK =  (3x - 2)°

(3x - 2)° = 3*37.4 - 2

m∠CSK = 110.2°

Hence, The measurement of ∠ CSK = 110.2°

For more references on Parallel lines, click;

https://brainly.com/question/16701300

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help me please and thank you ​

Answers

i believe the answer is 78.54 , D

Answer:

A 7.85 cm2 should be right

Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. For how many years did he save this money?

Answers

Answer:

7 years.

Step-by-step explanation:

To find this, we need to find 2% of 2,000. To do this, we mulitply 2,000 by .02. This gets us 40. Now, we need to divide 280 by 40 to find the amount of years it took for Mike to get this money. When we do that, it gets us 7. That means Mike saved that money for 7 years.

The number of years that he saves this money will be 7 years.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Mike saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. Then the number of years is calculated as,

$280 = ($2,000 x 2 x T) / 100

$28,000 = $4,000 x T

T = $28,000 / $4,000

T = 7 years

The number of years that he saves this money will be 7 years.

More about the simple interest link is given below.

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Is x = 6 a solution to the equation x + 13 = 18?
O A. Yes, because 6 +13 = 18 is true.
O B. No, because 6 + 13 = 18 is true.
C. No, because 6 + 13 = 18 is not true.
D. Yes, because 6 + 13 = 18 is not true.

Answers

x = 6 is not a solution to the equation x + 13 = 18.

Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.

Is x = 6 a solution to the equation x + 13 = 18?

Given the equation;  x + 13 = 18.

We plug x = 6 into the equation

x + 13 = 18

6 + 13 ≠ 18

6 + 13 is not 18

x = 6 is not a solution to the equation x + 13 = 18.

Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.

Learn more about equations here: brainly.com/question/14686792

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I need an answer stat no guessing or be warned and....

Answers

Answer:

138 pieces

Step-by-step explanation:

You would expect 11.5 per oz because 184/16=11.5.

Then, you multiply 11.5 and 12.

138

Method one
160z=184p
184/16=11.5
11.5x12=138

Method 2
12x184= 2208
2208/16=138
Ans =138
12oz=138

Translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7

Answers

D       :)

bye sis see you today

Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.

Answers

69 cause if you get it

`4x+3y=27` Solve the equation for y.

Answers

Answer:

y = 9-4/3x

Step-by-step explanation:

subtract 4x from both sides

divide by 3

Indicate the data relationship for each table. If each is, directly proportional or non-proportional

Answers

It’s nonporportiniol sorry if it’s spelled wrong lol

Select all the correct answers.
63. 26
Which expressions are equal to
23 ?

Answers

Answer: The first option and the third option

Step-by-step explanation: You are not supposed to find something equivalent to the fraction, you have to divide the fraction.

13824 ÷ 8 = 1728

Then it is when you try to find a number equivalent to 1728. 12 to the power of 3 equals 1728

12×12=144

144×12=1728

12 to the power of 3 is equivalent to 1728

These are wrong: 2 to the power of three is unequivalent and so is 12 to the power of 6 and 6 to the power of 3

2 to the power of 6 is 64

2×2=4

4×2=8

8×2=16

16×2=32

32×2=64

3 to the power of 3 is 27

3×3=9

9×3=27

64 times 27 equals 1728 so it's equivalent and that means that our answers are A, the 1st option , and C, the 3rd option

The equivalent expression will be;

⇒ 12³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6³ × 2⁶ / 2³

Now,

Since, The expression is,

⇒ 6³ × 2⁶ / 2³

Solve as;

⇒ 6³ × 2⁶ × 2⁻³

⇒ 6³ × 2⁶⁻³

⇒ 6³ × 2³

⇒ (6 × 2)³

⇒ 12³

Thus, We get;

⇒ 6³ × 2⁶ / 2³ = 12³

Learn more about the mathematical expression visit:

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find the slope of the line

Answers

Answer:

slope: -2

Step-by-step explanation:

You are taking a karate class that costs \$12 a month. In addition, you needed to purchase a uniform. You paid a total of $88 after 4 months. Please answer I even cash app u money just leave it below with the answer :((

Answers

Answer:

40 dollars for the uniform

it costed 48 dollars for 4 months

Step-by-step explanation:

12*4=48

88-48=40

ask in comments for any other questions

no money, just brainilst please:)

HOPE THIS HELPS!  :D

sales tax rate in New Mexico is 5.125%. A pair of pants in New Mexico costs $30 before tax. How much does the pair of pants cost after tax?

Answers

Answer: $31.54 ($31.5375, rounded to $31.54)

Step-by-step explanation: $30 * .05125 = $1.5375, to find our sales tax.

Add this sales tax ($1.5375) to $30 and we get $31.5375

IF IT SAYS TO ROUND TO THE NEAREST HUNDRETH, TYPE:

"31.54"

IF NOT:

"31.5375"

Show all work to factor x^4 − 17x^2 + 16 completely.

Please explain how you got your answer and show the steps. I completely forgot how to do it over winter break.

Answers

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

x+20+16=90

x=54

54+20+16=90

There’s a right angle and it’s marked as 90 degrees.

PLEASE HELP I HAVE TO TURN THIS IN SOON
In ∆XYZ, m∠X = 115°,m∠Y = 23°. What is m∠Z?

Answers

Answer:

X+Y+Z=180

115+23+Z=180

Z=180-115-23

Z=42°

Step-by-step explanation:

Choose the correct scientific notation of this number.
There are 5,280 feet in one mile.

Answers

Answer:

It's C

Step-by-step explanation:

A 9-yard roll of white paper costs $1.98. What is the unit price?

Answers

Answer:

$0.22

Step-by-step explanation:

divide $1.98 by 9 to get the unit price

Please help me with this question!!

Answers

Answer:acute

Step-by-step explanation:

Solve for X.

x+3
4
8

Answers

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

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