The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000npeople in the city. Let t represent the number of years since 2000 and P represent the population. Write an exponential growth function to model

Answers

Answer 1
A = 236,000 (1+ 0.04)^9
335,902 people in 2009
Answer 2

The exponential growth function to model represents as P = 236,000 (1+ 0.04)⁹ and 335,902 people in 2009.

What is the exponential growth function?

The exponential growth function is given by:-

y = A(1 +r)ⁿ

where r is the rate of growth and A is the initial amount and n is the time period.

Let t represent the number of years since 2000 and P represent the population.

The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city.

Put A = 236,000 , r = 0.04 and t = 9, we get

P = 236,000 (1+ 0.04)⁹

P = 335,902

Hence, the exponential growth function to model represents P = 236,000 (1+ 0.04)⁹ and 335,902 people in 2009.

Learn more about exponential growth and decay here:

brainly.com/question/2193820

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Related Questions

Evaluate [315 + 6) + 2] : 7
23
O
0
03
05

Answers

Answer:

323 : 7

Step-by-step explanation:

[ ( 315 + 6 ) + 2 ] : 7

[ 321 + 2 ] : 7

323 : 7

Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? * ​

Answers

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

Hello, here's the question :D

"Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n."

Answers

Answer:

(examples) n = 2

n = 3

n = 4

Step-by-step explanation:

to demonstrate, all you do is select a number to represent 'n' and plug it in.

so for example, n = 2:

2(2) + 3(2) = 5(2)

4 + 6 = 10, which is true.

(125/64)-1/3 as a radical

-1/3 is square it should be and the top of 64 outside the bracket

Answers

9514 1404 393

Answer:

  ∛(64/125) = 4/5

Step-by-step explanation:

Maybe you want to express ...

  [tex]\displaystyle\left(\frac{125}{64}\right)^{-\frac{1}{3}}=\left(\frac{64}{125}\right)^{\frac{1}{3}}=\boxed{\sqrt[3]{\frac{64}{125}}}[/tex]

__

The denominator of the fractional exponent is the index of the radical. The other applicable rule of exponents here is a^-b = 1/a^b.

Compute the future value of $1,000 compounded annually for:

A. 10 years at 5 percent.

B. 10 years at 10 percent.

C. 20 years at 5 percent.

D. Why is the interest earned in part (c) not twice the amount earned in part (a)?

Answers

Answer:

1628.89

2593.74

2653.30

Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.

Step-by-step explanation:

A: 1000*(1.05)¹⁰= 1628.89

B: 1000(1.1)¹⁰= 2593.74

C: 1000(1.05)²⁰= 2653.30

D: Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.

the ratio of two complementary angles is 8:17. find the measure of the smallest angle.

Answers

Answer:

28.8

Step-by-step explanation:

Multiply each by x

8x : 17x

Complementary angles add to 90

8x+17x = 90

25x = 90

Divide each side by 25

25x/25 = 90/25

x=3.6

The smallest angle is 8x

8*3.6 =28.8

Let's assume that the two angles represent
x
and
y
. We know that
x
+
y
=
90
. For this equation, let's assume
y
is the bigger angle.
y
would equal 8:7x, or to make it simpler,
8
7
x
. We can plug in
8
7
x
for
y
in the original equation to get
x
+
8
7
x
=
90
. Combining like terms, and then saying that
x
=
7
7
, we get
15
7
x
=
90
. We then divide
15
7
on both sides, and get
x
=
42
. In the equation,
y
=
8
7
x
, we add in 42 which makes
y
=
48
. That's how we find out our answer.

A parallelogram is shown below: A B A 2 foot D с 3 feet Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)​

Answers

9514 1404 393

Answer:

  Part A: 2 ft²

  Part B: draw a diagonal (AC, for example); 1 ft²

Step-by-step explanation:

Part A:

The area of a parallelogram is given by the formula ...

  A = bh

where 'b' is the length of the base, and 'h' is the perpendicular distance between the bases.

Using the numbers shown on the diagram, the area is ...

  A = (3 ft)(2/3 ft) = 3·2/3 ft²

  A = 2 ft² . . . . . area of the parallelogram

__

Part B:

Typically, a polygon is partitioned into triangles by drawing diagonals from one of the vertices. It does not matter which one. (In a quadrilateral, only one diagonal can be drawn from any given vertex.) Here, the "base" of each triangle is the same as the base of the parallelogram: 3 feet. The "height" of each triangle is the same as the height of the parallelogram: 2/3 ft.

The area of a triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(3 ft)(2/3 ft) = (1/2)(3)(2/3) ft²

  A = 1 ft² . . . . . . . . area of each triangle

_____

Additional comment

It should be no surprise that the area of each of the two congruent triangles is 1/2 the area of the parallelogram.

What is the radius of a hemisphere with a volume of 839 cm", to the nearest tenth of a centimeter?​

Answers

Answer:

7.4 cm

Step-by-step explanation:

Volume of sphere

v = (4/3)πr³

Volume of hemisphere will be half that

v = (2/3)πr³

(2/3)πr³ = 839

multiply both sides by 3/2

πr³ = 1,258.5

Divide both sides by π

r³ = 400.5929917623

Take the cube root of both sides

r = 7.3717022001

Rounded

r = 7.4 cm

Nathan is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 100% recyclable aluminum.



Over one month, he collected 1978 cans.


What is the mass, in kilograms, of these cans?

Answers

Answer:

33.5 kg

Step-by-step explanation:

Each 59 cans are about 1 kg.

He collected 1978 cans.

How many times 59 cans did he collect?

1978/59 = 33.5

He collected 1978 cans which is 33.52 times 59 cans, so he collected 33.5 kg

5. The Jones family orders four pizzas to eat. Each pizza is sliced into four parts. How many pizza slices do they get in total?​

Answers

Answer:

16 slices

Step-by-step explanation:

Given :

Number of pizzas ordered = 4

Number of slices per pizza = 4

If 4 pizzas are each sliced into 4 parts ; the we have :

Pizza 1 = 4 slices

Pizza 2 = 4 slices

Pizza 3 = 4 slices

Pizza 4 = 4 slices

Total slices = (4 +4 +4 +4) = 16 slices

What is the 8th term of the geometric sequence with a1=2 and r=-3.

Please asap last question

Answers

Answer:

-4374

Step-by-step explanation:

Given :

a1 = 2 ; r = - 3

The nth term of a geometric series :

A(n) = ar^(n-1)

The 8th term :

A(8) = 2(-3)^(8-1)

A(8) = 2(-3^7)

A(8) = 2(−2187)

A(8) = - 4374

Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!! AND NO CHICKEN NUGGETS!!!!

Answers

Answer:

70 feet

Step-by-step explanation:

as perimeter of triangle =

23+15+32= 70 feet

Answer:

Solution given:

side 1=23ft.

side 2=15ft

side 3=32ft

we have

perimeter=sum of all sides

=23+15+32=70ft

70ft tape will be needed.

solve the system of equations by graphing
3x+y=7
x+2y=4​

Answers

9514 1404 393

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

The graph of these equations is attached. The solution is ...

  (x, y) = (2, 1)

y varies inversely as x. y=3 when x=10. Use the variation constant and inverse variation equation to find y when x=6.

Do not type y= in your answer.

Answers

Answer:

5

Step-by-step explanation:

Given :

Y α 1/x

Y = k/x

Where, k = constant of proportionality ;

y = 3 ; x = 10

3 = k / 10

k = 10 * 3

k = 30

Equation becomes :

Y = 30/x

Y =? ; when x = 6

Y = 30 / 6

Y = 5

A company's sales force makes 400 sales calls, with + 0.25 probability that a sale will be made on a call. What is the probability that greater than 55 (exclusive) but less than 75 (exclusive) sales will be made? Enter your answer as a decimal value, rounded to 4 decimal places.

Answers

Answer:

0.0016 probability that greater than 55 (exclusive) but less than 75 (exclusive) sales will be made.

Step-by-step explanation:

We use the normal approximation to the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

A company's sales force makes 400 sales calls, with 0.25 probability that a sale will be made on a call.

This means that [tex]n = 400, p = 0.25[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 400*0.25 = 100[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{400*0.25*0.75} = \sqrt{75}[/tex]

What is the probability that greater than 55 (exclusive) but less than 75 (exclusive) sales will be made?

Using continuity correction, this is [tex]P(55+0.5 \leq X \leq 75-0.5) = P(55.5 \leq X \leq 74.5)[/tex], which is the p-value of Z when X = 74.5 subtracted by the p-value of Z when X = 55.5.

X = 74.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{74.5 - 100}{\sqrt{25}}[/tex]

[tex]Z = -2.94[/tex]

[tex]Z = -2.94[/tex] has a p-value of 0.0016

X = 55.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.5 - 100}{\sqrt{25}}[/tex]

[tex]Z = -5.14[/tex]

[tex]Z = -5.14[/tex] has a p-value of 0

0.0016 - 0 = 0.0016

0.0016 probability that greater than 55 (exclusive) but less than 75 (exclusive) sales will be made.

Which expression can be used to determine the length of segment ZY?

On a coordinate plane, triangle X Y Z has points (3, 1), (3, 4), (negative 5, 1).

Answers

Answer:

The length of segment ZY is of [tex]\sqrt{73}[/tex] units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this question:

Point Z has coordinates (-5,1)

Pount Y has coordinates (3,4).

The length of segment ZY is the distance between points Z and Y. Thus

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]D = \sqrt{(-5-3)^2+(1-4)^2}[/tex]

[tex]D = \sqrt{8^2+3^2}[/tex]

[tex]D = \sqrt{73}[/tex]

The length of segment ZY is of [tex]\sqrt{73}[/tex] units.

Find the value of x.
A. 30
B. 60
C. 90
D. 120



Some one else didn’t add a picture

Answers

QUESTION:- Find the value of x.

A. 30

B. 60

C. 90

D. 120

ANSWER:-

ALL ANGLE SUMS HAVE SAME LOGIC OF STRAIGHT LINE ANGLES = 180°

[tex]y + x + y - x = 180[/tex]

[tex]2y = 180 \\ y = 90[/tex]

[tex]2x + y + x = 180[/tex]

[tex]3x + 90 = 180 \\ 3x = 90 \\ x = 30 \degree[/tex]

Answer:

30 degrees

Step-by-step explanation:

2x + y + x = 180

y + x + y - x = 180

3x + y = 180

2y = 180

y = 90

3x + 90 = 180

3x = 90

x = 30

The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches

Answers

Answer:

18

Step-by-step explanation:

Hope this help!!!

Have a nice day!!!

Tasta's bank account was. She deposited a check into her bank account and her new total is. How much was the check that Tasta deposited into her account?

Answers

Answer:

Step-by-step explanation:

New Total equals Previous Total plus the Check value

New Total minus Previous Total   equals   the Check value

Her new total is  -  Tasta's bank account was = Check value

The parent function f(x)=x^3 is transformed to g(x)=(x-1)^3+4. Which graph represents function g?

Answers

The answer is B. Look at this

Select the correct answer.
The variable g varies directly as the cube root of h. If g=128 when h=8, which equation can be used to find other combinations of g and h?
[tex]g \sqrt[3]{h} = 256[/tex]
[tex]g = 64 \sqrt[3]{h} [/tex]
[tex]gh = 1024[/tex]
[tex]g = 16h[/tex]

Answers

the second equation is correct

Step-by-step explanation:

I got it right on the test

10
El tiempo aproximado en caminar de tu casa (C) a la de tu amigo (A) pasando por la tienda (T)
es de 14 minutos; Si caminas a la misma velocidad, ¿Cuántos minutos te tomará caminar
directamente a la casa (C) de tu amigo (A)? Redondea al entero más cercano.

500yd
A
700yd​

Answers

Respuesta:

10.0 minutos

Explicación paso a paso:

Distancia total recorrida caminando de C a A pasando por T:

500 yardas + 700 yardas = 1200 yardas

Tiempo necesario para recorrer 200 yardas = 14 minutos

Caminando directamente de C a A:

La distancia se puede obtener usando una relación trigonométrica:

Hipotenusa = √ (opuesto² + adyacente²)

Hipotenusa = √500² + 700²

Hipoteno = 860.23252 yardas

Por eso ; Si

1200 yardas = 14 minutos

860.23252 yardas = x

Multiplicar en cruz:

1200x = 12043,255

x = 12043,255 / 1200

x = 10.036 minutos

El tiempo necesario para caminar directamente será: 10.0 minutos

Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?

7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2

Answers

9514 1404 393

Answer:

  7x^3y^4z^2

Step-by-step explanation:

  [tex]\displaystyle\sqrt[3]{343x^9y^12z^6}=\sqrt[3]{(7x^3y^4z^2)^3}=\boxed{7x^3y^4z^2}[/tex]

Answer:

[tex] \small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2} [/tex]

Step-by-step explanation:

[tex] \small \sf \leadsto \: \sqrt[3]{343 \: x {}^{9} \: y{}^{12} \: z {}^{6} }[/tex]

[tex] \small \sf \leadsto \: \sqrt[3]{7x {}^{3}y {}^{6}z {}^{2} } [/tex]

[tex] \small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2} [/tex]

Is 0.01011011101111011111 rational or irrational?

Answers

Answer:

It is rational number.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Hope it is helpful....

y = 3 sine (one-third x)

Answers

Use the form
a
sin
(
b
x

c
)
+
d
a
sin
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
3
a
=
3
b
=
1
3
b
=
1
3
c
=
0
c
=
0
d
=
0
d
=
0
Find the amplitude
|
a
|
|
a
|
.
Amplitude:
3
3
Find the period using the formula
2
π
|
b
|
2
π
|
b
|
.
Tap for more steps...
Period:
6
π
6
π
Find the phase shift using the formula
c
b
c
b
.
Tap for more steps...
Phase Shift:
0
0
Find the vertical shift
d
d
.
Vertical Shift:
0
0
List the properties of the trigonometric function.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
Select a few points to graph.
Tap for more steps...
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
3
3
Period:
6
π
6
π
Phase Shift:
0
0
(
0
0
to the right)
Vertical Shift:
0
0
x
f
(
x
)
0
0
3
π
2
3
3
π
0
9
π
2

3
6
π
0
x f
(
x
)
0 0
3
π
2
3 3π 0
9
π
2
-3 6π 0

y
=
3
s
i
n
(
1
3
x
)
y
=
3

(
1
3
x
)


Answer:

B on edge

Step-by-step explanation:

Find the missing length indicated. Hey can someone help me out?

Answers

Answer:

C) 6

by-step explanation:

Ayuda es para mañana plsss

Answers

Answer:

Divido es numero

Step-by-step explanation:

1. 1045.90

2. 579.60

3. 634.15

4. 1084.71

What is a solution to the system? y = x^2 + 2x - 15 y – 4x = -12

Answers

9514 1404 393

Answer:

  (x, y) = (-1, -16) or (3, 0)

Step-by-step explanation:

Perhaps you want to solve the system of equations ...

y = x^2 +2x -15y -4x = -12

Substituting the first expression for y into the second equation gives ...

  x^2 +2x -15 -4x = -12

  x^2 -2x -3 = 0 . . . . . . . . add 12

  (x -3)(x +1) = 0 . . . . . . .  factor

Solutions are the values of x that make the factors zero: x = 3, x = -1.

The corresponding values of y are ...

  y = -12 +4x

  y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}

The solutions to the system are ...

  (x, y) = (-1, -16) or (3, 0)

PLS SOLVE!! e2 = d^2+f^2 -2df(cosE)

Answers

9514 1404 393

Answer:

  e = 25.7 m

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  [tex]e^2=d^2+f^2-2df(\cos{E})\\\\e^2=11.9^2+18.5^2-2(11.9)(18.5)\cos{114^\circ}\approx 662.946\\\\e\approx\sqrt{662.946}\approx25.74774\\\\\boxed{e\approx25.7\text{ m}}[/tex]

The 6 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $210. Solve the equation 6(e + 5) = 210 to find the cost e of the entrance fee for each
student.

Answers

The answer is 30 = e or e=30
Other Questions
3.(pronoun) Can Jerry help him with the science project?What is the pronoun PLEAZSEE HELP MEEEJEHSHD Coverage that favors the truck club president tends to result in more viewers for a smalltown talk show called "We Heart the Truck Club." Viewers notice that this kind of coverage is run for six months. What can you conclude is most likely the agenda of the talk show's producers?gaining support for the presidentThere is not enough information here to make a conclusion about the agenda.making money by increasing ratingsmaking money and/or gaining support for the presidentcharity (1) who was the first prime minister of china Explain how to do this and provide with an answer. the spread of 24 hour networks during the 1980s and 1990s made the american public more aware of which of these -government intrusion -tobacco dangers -humanitarian crisises-global warming dynamic character undergoes extensive changes. 3.1 Define the term "human rights abuse and give ONE example of such an abuse Can someones please help Which radical expressions are equivalent to the exponential expressionbelow? Check all that apply. The audience for Michael Lewis's speech isSelect one:a.the Princeton High School graduating class of 2012.b.the Princeton University graduating class of 2012.c.the members of his Princeton University class.d.a Wall Street convention at Princeton University. A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer. Learning Task 4Directions: Write paragraph showing cause and effect of Floods". Do this in your notebookCauses: heavy rains, broken dams, overflowing riversEffects: loss of human life. damage of propertyFloodsBeginning ParagraphMiddle ParagraphEnding Paragraph The table below provides data about a gas sample.Volume1.0 LPressure303.9 kPaTemperature323 KWhich of the following can be determined using the data?A the chemical composition of the gasB. the condensation temperature of the gasC. the distance between gas molecules in the sampleD. the number of gas molecules in the sample solve for x 64 = 2^3x I NEED HELP FAST PLSRead and choose the option that best answers the question.Hola, me llamo Victor y tengo diecisis aos. Vivo en Austin, Texas. En mi cumpleaos diecisis, tengo mi permiso de manejar y viajo a ver a mi primo Maximiliano en Argentina. Maximilano tiene dieciocho aos y l trabaja como conductor de taxi. En Argentina t puedes tener la licencia de manejar a los dieciocho aos. Tienes que usar el cinturn de seguridad y no puedes escribir en el telfono cuando manejas.Based on the text, what is a similarity between Victor and Maximiliano? Maximiliano has to wear a seat belt, unlike Victor. Neither Maximiliano nor Victor have to wear seat belts. Victor has to wear a seat belt, unlike Maximiliano. Victor and Maximiliano have to wear a seat belt. Write an equation of the line that passes through the points (2, -3) and (1,4). Adam Smith's phrase "invisible hand" refers toA. the subtle and often hidden methods that businesses use to profit at consumers' expense.B. the ability of free markets to reach desirable outcomes, despite the self-interest of market participants.C. the ability of government regulation to benefit consumers, even if the consumers are unaware of the regulations.D. the way in which producers or consumers in unregulated markets impose costs on innocent bystanders which angle is supplementary to 16 ? Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.What is the length of Line segment G D?GD =