The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t represents the years from now. What is the approximate population change that occurs between 2 years from now and 10 years from now.

Answers

Answer 1

Answer:

5358

Step-by-step explanation:

The equation modeling the population growth of a small town is given as:

P(t)=30000(1.02)^t

When t = 2

P(2) = 30000(1.02)^2

P(2) = 31212

When t = 10

P(10) = 30000(1.02)^10

P(10) = 36569.8326

The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:

= P(10) - P(2)

= 36569.83259984272 − 31212

= 5357.8325998

Approximately ≈ 5358


Related Questions

The perimeter of a rectangle is 70 inches. If its length is four times its width, find the dimensions. Write an equation and solve.

Answers

Answer: Length = 28cm

Width = 7cm

Step-by-step explanation:

Let the width be represented by x.

Since the length is four times its width. Therefore, the length would be:

= 4 × x = 4x

The perimeter of a rectangle is calculated as:

= 2(length + breadth)

Therefore, 2(4x + x) = 70

2(5x) = 70

10x = 70

x = 70/10

x = 7

Therefore, width = 7cm

Length = 4x = 4 × 7 = 28cm

you have $56 to spend on your family dinner each entree cost $8 and each cost $4

Answers

Answer:

ok I don't understand the problem.?

Step-by-step ex

There is no information here.

There isn't even a question. lol

please help me on this , tyyy :]

Answers

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

6. Given the function f(x) = 7x determine the equation of a new function, g(x), that is reflected over
the x-axis and then shifted 4 units down.
a. g(x) = 7x + 4
b. g(x) = -7x + 4
c. g(x) = 7x - 4
d. g(x) = -7x - 4

Answers

Answer:

d. g(x) = -7x - 4

Step-by-step explanation:

If it is reflected over the x-axis, there is a negative sign to the x term.

There is a shift of 4 units, so it is -4.

Bir su deposunun 17/24 şu ile doludur depodaki suyun 80 litresi kullaninca deponun yarısı dolu oluyor buna göre deponun tamamı kaç litre su alir

Answers

Answer:

384 Litre

Step-by-step explanation:

Tankın alabileceği toplam su miktarı = x

(17/24) x - 80 Litre = 1 / 2x

Benzer terimleri toplayın

17 / 24x - 1 / 2x = 80 Litre

5 / 24x = 80 Litre

5x / 24 = 80 Litre

Çapraz Çarpma

5x = 80 Litre × 24

x = 80 Litre × 24/5

x = 384 Litre

Dolayısıyla tüm tankın alabileceği su miktarı 384 Litredir.

a hiker walks at a speed of 3 2/5 km per hour. how many km will he walk in 3/4 of an hour

Answers

Answer:

2.55

Step-by-step explanation:

in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same way again

Answers

Answer:

86%

Step-by-step explanation:

430 × 100 = 430 = 86%

500 1 5

you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.

430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.

Linear Function #3!!!

Answers

Answer:

The bottom left table

Step-by-step explanation:

The only table that is a line is the bottom left

1. Sharon used 3 cups of water with
every 2 cups of lemon juice to make
lemonade. Find the ratio of the amount
of lemon juice used to the amount
of water used

Answers

Answer:3:2 is the answer i am very sure

Step-by-step explanation:

answer to be marked as brainlist

Answers

Answer:

The SF is 3

Step-by-step explanation:

The sides are 3x the length of the sides of ∆ABC

You deposit $2000 in an account that earns 5% annual interest compounded quarterly. Find the account balance after 10 years

Answers

Answer:

You deposit $2000 in an account that earns 5% annual interest compounded quarterly. Find the account balance after 10 years

Please help me please

Answers

substitute the values given to you into the equation:
x-(y+z)
x=9
y=3
z=2
9-(3+2)
the answer is A.
your answer would be A!

20 pts
The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda:

What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?

1:40
10:1
40:1
1:10

Answers

Answer:

It'a B. 10:1

Step-by-step explanation:

a train covers 165km in 1.5 hours find the constant variation

Answers

Answer:

110 km/hour

Step-by-step explanation:

distance = 165 km

time = 1.5 hours

constant of variation = distance/time

constant of variation = 165 km / 1.5 hours = 110 km/hour

The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the graph of this equation?

A coordinate plane with a line passing through (0, negative 2) and (4, 0).

A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).

A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).

A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).

Answers

Answer:

Graph D

Step-by-step explanation:

Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D

The graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0). Option D is correct

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope intercept form is expressed as y = mx + b

where:

m is the slopeb is the y-intercept

Given the equation x - 2y = 5

Write in slope-intercept form;

-2y = -x + 5

y = 1/2 x - 5/2

We need two points passing through the line, we will find the x and y-intercept

If x = -3

y = 1/2(-3) - 5/2

y = -3/2 - 5/2
y = -4

Hence one of the coordinate point is (-3, -4)

If x = 5

y = 1/2(5) - 5/2

y = 5/2 -5/2

y = 0

Hence one of the coordinate point is (5, 0)

Hence the graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0).

Learn more on equation of a line here: https://brainly.com/question/18831322

#SPJ9

What is the value of x in the equation 8 + x = 3? (4 points) −5 5 11 24

Answers

Answer:

-5 is the correct answer

Answer:

-5

Step-by-step explanation:

Find the radius of the base of a cylinder with a volume of 1357.17 cm3 if the height of the cylinder is twice the length of the radius.

Answers

Answer:

6cm

I hope it will be useful.

which choice is equvalent to the expression below 5^9.96
a. 5^9 • 5^96/10 • 5^9/100
b. 5^9•5^9/10•5^6/100•5^9/1000
c. 5^9+5^9/10+6^6/100
d. 5^9+9/10+9/10+6/1000​

Answers

Answer:

B

Step-by-step explanation:

5^9•5^9/10•5^6/100•5^9/1000 = 5^(9+0.9+0.06+0.009) = 5^9.969

B !! I’m going by what the above answer say !

PLZ HELP ASAP MARK BRAINLIEST VIEW PICTURE!!

Answers

Answer: The second option

Step-by-step explanation: 14mph times 5 equal 70. 5 hours after 6 am is 11 am. 70 divided by 20 is 3.5. 3.5 hours after 6 am is 9:30. Hence 9:30 to 11

How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)

Answers

Answer:

2(4)-3+5

Step-by-step explanation:

8-3+5

13-3

10

Answer:

i would say a

Step-by-step explanation:

There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?

Answers

i agree it should be 50%

Step-by-step explanation:

half of 40 is 20

Graph a line that has a slope of -3 and contains the point (4,-2)

Answers

Answer:

The equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = -3(x-4)[/tex]

[tex]y+2 = -3x+12[/tex]

[tex]y = -3x+12-2[/tex]

[tex]y = -3x+10[/tex]

Therefore, the equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Karl needs to build a stage that has an area of 84 square feet. The length of the stage should be longer than the width. What are the possible whole number measurements for the length and width of the stage? Complete the table with possible measurements of the stage. Length Width 1 2 3 4 6 7

Answers

Answer/Step-by-step explanation:

84 = L x w

84 = 84 x 1

84 = 42 x 2

84 = 28 x 3

84 = 21 x 4

84 = 14 x 6

84 = 12 x 7

Answer:

below is the answer

Step-by-step explanation:

84 = L x w

84 = 84 x 1

84 = 42 x 2

84 = 28 x 3

84 = 21 x 4

84 = 14 x 6

84 = 12 x 7

Help pls !!!!!!!!!!!!!

Answers

Answer:

WOAH hold up i may be able to help you

Step-by-step explanation:

SAS- side-angle-side

I’ll mark brainliest what’s 1228822882-1228822882?

Answers

0

Subtract

Answer is 0

Hope this helps

God bless!

Answer:

oofff

Step-by-step explanation:

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Answers

Answer:

The length of AD is 1 unit

Step-by-step explanation:

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

∵ AB = 3 units

∵ AC = 9 units

∵ AD = x

→ Substitute them in the rule above

(3)² = x × 9

∴ 9 = 9x

→ Divide both sides by 9

∵ [tex]\frac{9}{9}[/tex] = [tex]\frac{9x}{9}[/tex]

1 = x

The length of AD is 1 unit

pls help in a rushhh will give points

Answers

Answer:

The answer is 120

Step-by-step explanation:

A triangle has 180 degrees in it total.

So all you have to do is 180 - 35 -25, and get your answer.

Using the order of operations, what should be done first to evaluate 12+(-6)(3)+(-2)?
Vx
O Divide 12 by 5.
O Multiply -6 and 3.
O Divide 12 by -6.
O Add 3 and -2.
Hurry pls

Answers

You need to multiply -6 and 3

which angle has its terminal side on the negative y-axis?

Answers

A positive [tex]\frac{3\pi }{2}[/tex] radians angle’s terminal side falls on the negative y-axis.

Angle

The starting side of the angle is the primary ray, whereas the end position of the ray following rotation is the terminal side of that angle.

How to find the angle that has its terminal side on the negative y-axis?

A positive 270 degree angle’s terminal side falls on the negative y-axis as shown in the figure.

Hence, a positive [tex]\frac{3\pi }{2}[/tex] radians angle’s terminal side falls on the negative y-axis.

Thus, option (B) is correct.

Consider the following figure for this.

Learn more about the angle here-

https://brainly.com/question/13954458

#SPJ2

Answer: B

Step-by-step explanation:

Choose Yes or No to tell if 14.3 will make each equation true.
19.05 + □ = 33.35
□ + 32.62 = 45.92
62.01 – □ = 47.71
□ – 4.88 = 9.42

Answers

1. Yes
2. No
3. No
4. Yes
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