Mathematics High School

Write an exponential function to model the following situation.
A population of 140,000 grows 5% per year for 15 years.
How much will the popluation be after 15 years?
Write an exponential function in terms of x.
X
y-DO

Write An Exponential Function To Model The Following Situation.A Population Of 140,000 Grows 5% Per Year

Answers

Answer 1

Answer:

291050 people

Step-by-step explanation:

The formula for exponential growth is given by; a(1 + r)ⁿ

where;

a is the initial population

r is the rate of change

y is the final population

x is the number of years

r is the rate of change

We are given;

Initial population; a = 140000

Rate; r = 5% = 0.05

Number of years; x = 15 years

Thus, in terms of x;

y = 140000(1 + 0.05)^(x)

Now, after 15 years, we now have;

y = 140000(1 + 0.05)^(15)

y = 291049.94511

Approximating to a whole number gives;

y = 291050 people

Related Questions

Mary wanted to solve the system of equations shown. She first used row reduction to get the system into 2 equations with 2 variables, x and y. She then used her calculator and got the graph shown. What is the solution to her system?

Answers

Answer: (2, -1, 3)

Step-by-step explanation:

The graph shows you that x=2 and y=-1 so, plug those values back into one of the equations to solve for z. You should get z=3 giving you a solution of (2, -1, 3).

find the area of the shaded region inside the rectangle hexagon given one of the side lengths is 8.

A 163
B 230
C 300
D 233.3

Answers

The answer is A if I’m not mistaken

Complete the table and then graph the function.
y = 3x

Answers

Answer:

x y

1 3

2 6

3 9

Step-by-step explanation:

just plot the corresponding points onto your graph

The figure below is made of 13 identical squares. The area of the figure is 52 cm2. What is the perimeter of the figure?​

Answers

Answer:

28.84

Step-by-step explanation:

the figure is just a square made up of squares so to find the side of a square you use the \sqrt{52} to find one side then multiply times 4 for each side

Which expression is equivalent to -80 ? ✓ ОО 0 -4.5 -4.5 O 0 4.5 4.5;​

Answers

Answer:

00

Step-by-step explanation:

Please!!! I need help

Answers

Answer:m

Step-by-step explanation:

n

6x^2+3x+24=0 solve by factoring

Answers

Answer:

No real solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+3x+24=0

For this equation: a=6, b=3, c=24

6x2+3x+24=0

Step 1: Use quadratic formula with a=6, b=3, c=24.

x= (−b±√b2−4ac) /2a

x=( −(3)±√(3)2−4(6)(24))/ 2(6)

x= (−3±√−567) /12

Divide using synthetic division -3 1 8 9 -18

Answers

Answer:

Step-by-step explanation:

-3   /   1    8    9    -18

              -3    -15   18

     _______________

        1      5     -6     0

The remainder here is 0 and the quoitient is 1x^2 + 5x - 6.

can someone help me with this please ?!

Answers

Answer:

7.10

Step-by-step explanation:

Find the common ratio of the following geometric sequence:
4, 8, 16,....

Answers

Answer:

Common ratio : 2

nth term : 4 × 2^(n-1)

Step-by-step explanation:

Good luck *_*

Hope this helps ^^

M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard

deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that

their mean weight is at least 0.8535 g each.

Answers

Answer:

0.89417

Step-by-step explanation:

Using the relation to obtain the Zscore :

Z = (x - mean) ÷ standard deviation / sqrt(n)

x = 0.8535

Mean = 0.8565

Standard deviation = 0.0518

Sample size, n = 465

P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)

P(x ≥ 0.8535) = - 0.003 / 0.0024021

P(x ≥ 0.8535) = - 1.249

P(Z ≥ - 1.249) = 0.89417

Could someone help, please?

Answers

Answer:

DCB=33

Step-by-step explanation:

We are given the angle for a and we know the angle for ADC is 90 because AB & DC are perpendicular.  Given two angles of a triangle we can find the third by subtracting the two known values from 180 because we know a triangle totals 180.

180-33-90=57

So we can also find CDB because we know AB & DC are perpendicular.  It is also 90 because two perpendicular lines make a 90 angle.  

DCB can be found because we know that ACB makes a 90 angle and the ACD portion is 57.  So we subtract 57 from 90.

90-57=33

We can also find CBD by subtracting CDB and DCB from 180.

180-90-33=57

More than question asked but wanted to help you see connections between them.

A ring-shaped region is shown below. Its inner radius is 19 m, and its outer radius is 24 m. Find the area of the shaded region. Use 3.14 for . Do not round your answer.

Answers

Answer:

675.1 sq m

Step-by-step explanation:

Area of larger circle = 3.14(24^2) = 3.14(576) = 1808.64

area of smaller circle = 3.14(19^2) = 3.14(361) = 1133.54

area of ring = Area of larger circle - area of smaller circle

= 1808.64 - 1133.54 = 675.1

Find the missing side and angle to the nearest tenth.
AC=
m∠B =

Answers

Answer:

AC²=AB²-BC²=13²-10²=169-100=69

AC=√69=~8.3

Step-by-step explanation:

reciproque de pytaghore to solve AC

A cylindrical can of cocoa has the dimensions shown at the right. What is the approximate area
available for the label?
Diameter - 7 height - 4

Answers

Answer:

164.93 I believe is the answer

Please help i really need to do this :D

Answers

Answer:

[tex]17[/tex]

Step-by-step explanation:

Since h=17 we use that

[tex]h(t) = \sqrt{17t} [/tex]

[tex]h(t) = \sqrt{289} = 17[/tex]

Please help me out on this no link, no bots, no stealing points, don’t answer if you don’t know

Answers

Answer:

x = 15

Step-by-step explanation:

[tex]x^{2} + 20^{2} =25^{2}[/tex]

[tex]x^{2} +400=625[/tex]

[tex]x^{2} =225\\[/tex]

[tex]\sqrt{x[/tex]

=x

[tex]\sqrt{225}[/tex]

= 15

[tex]x=15[/tex]

There are 18 children in Haley's preschool class. During free time yesterday, 3 of them chose to play with blocks. What is the probability that a randomly selected child chose to play with blocks yesterday?

Answers

Answer:

3/18

Step-by-step explanation:

Out of the 18 kids, three of them did, so 3/18, which can be simplified to 16.6666%, so 17% if you round it to the nearest degree.

Answer:

1/4

Step-by-step explanation:

its literally 1/4

Can you please answer AND give an explanation to how you answered (this can be the steps you took, or how you did it they way you did). *brainliest to the BEST answer*

Answers

Answer:

$32.60

Step-by-step explanation:

Remember to find the percentage of something, times the number by the percentage, which is two decimals to the left. So 15% would be 0.15.

The total is unknown so replace it with a variable, such as x

.15(x)=4.89

Isolate x by dividing both sides by 0.15

x=32.6

Meal price: $32.60

Check your answer by multiplying this number by the tip percentages

32.6(.18)=5.87

32.6(.20)= 6.52

Cameron has a rectangular cooler to bring to a picnic. The cooler is 15 inches long, 12 inches wide, and 20 inches high. What is the volume of the cooler in cubic inches?

Answers

Answer:

21

Step-by-step explanation:


Nichole ordered lunch at a
restaurant. Her meal totalled
$14.30. If sales tax is 7%, and
she leaves a tip of 20% after
sales tax is added on, what is
the total she paid for lunch?

Answers

Answer:

$18.16

Step-by-step explanation:

14.30×7%=1

14.30×20%=2.86

14.30+1×2.86=18.16

If l║m and m∠8 = 109°, what is m∠5?

Answers

you need to see all the measurements to know what m∠5 to get the answer.

If c= 205 A=81 and b=50. B=

Answers

Answer:

50

Step-by-step explanation:

Did you write it correct? It says b = 50 and ur question is b= ?

Can someone help me plzzz and thank you

Answers

Answer: 20 I think

Step-by-step explanation:

Which transformation is shown

Answers

Answer:

Rotation

Step-by-step explanation:

The shape is rotating about 90º counterclockwise towards the image.

what two numbers is the square root of 23 between?

Answers

Answer:

23 lies between. 16 and 25

Please help me with this homework

Answers

Answer:

16

Step-by-step explanation:

Which expression is equivalent to 3/24?

Answers

Answer:

18 is equivalent to 3/24 because 1 x 24 = 8 x 3 = 24. 216 is equivalent to 3/24 because 2 x 24 = 16 x 3 = 48.

0.125

3/24 as a decimal is 0.125.

Step-by-step explanation:

When 1,250 Superscript three-fourths is written in its simplest radical form, which value remains under the radical?

10
6
5
2

Answers

Answer:

D is the answer

Step-by-step explanation:

Answer:

D

Explanation:

100%

4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants to attend is $12,000 per year. Owen's parents will pay 60% of the tuition cost every year and he will pay the rest. Owen has one year to save for enough money to attend his first year of college. What is the minimum amount of money he should save every month in order to reach his goal? A. $600 B. $400 D. $500 C. $300​

Answers

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

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