4. The population of a town is modeled by the equation P = 3485e

0.125

, where "P"

represents the population as of the year 2000.

• According to the model, what will the population of the town be in 2010?

In approximately what year will the population reach 50,000 people?

Must answer and show appropriate work for both questions here.

Student's Work

Student's Answer

A. Part A: 11,571 people in 2010

Part B: approx. 22 years

B. Part A: 38,416 people in 2010

Part B: approx. 13 years

C. Part A: 11,571 people in 2010;

Answers

Answer 1

The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

The population model is given as:

[tex]P(x) = 3485e^{0.125x}[/tex]

(a) The population in 2010

In 2010, the value of x is 10.

So, we have:

[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]

Evaluate the exponent

[tex]P(10) = 3485 * e^{(1.25)}[/tex]

This gives

[tex]P(10) = 121634[/tex]

(b) Year to reach 50000

This means that P = 50000.

So, we have:

[tex]50000 = 3485e^{0.125x}[/tex]

Divide both sides of the equation by 3485

[tex]14.35 = e^{0.125x}[/tex]

Take natural logarithm of both sides

[tex]\ln(14.35) =0.125x[/tex]

[tex]2.66 =0.125x[/tex]

Divide both sides by 0.125

[tex]21.28 = x[/tex]

Rewrite as:

[tex]x =21.28[/tex]

Approximate

[tex]x =21[/tex]

Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

Read more about population models at:

https://brainly.com/question/25630111


Related Questions

5) Write the missing numbers to find the
quotient of 782 = 17. So that 782 = 17 = 46


Answers

Answer:

  quotient term: 6

  dividend term: 102

Step-by-step explanation:

[tex]\dfrac{782}{17}=\dfrac{680+102}{17}=\dfrac{680}{17}+\dfrac{\boxed{102}}{17}=40 +\boxed{6} = 46[/tex]

Giving Brainilest! Tell whether the triangles are similar

Answers

Answer:

57 digress

I think 57 digress of both triangles are similar

Step-by-step explanation:

hope this helps I don't know Its I don't know Its correct answer please ask to some one

Answer:

yes

Step-by-step explanation:

1. both are acute triangles

2. both have all the angles measuring less than 90°

3.first triangle x measures 50 degrees and y measure 80 degrees respectively.

pls give brainliest

Please help me?i don’t want to fail

Answers

Answer:

8.

9y-3y=6

-4x-(-5x)=1

the slope is 6

9.

you start at the 0 axis and go up 3 on the y.Once you did that you want to go up 2 on the y axis then 3 to the right on the x axis,then go up 2 then 3 to the right.

Step-by-step explanation:


If there are 80 shirts - 30%are blue and 40%are red how many
are white

Answers

Answer:

24

Step-by-step explanation:

30%+40%=70%

100%-70%= 30%

what's 30% of 80?

80×0.3= 24

30% of 80 is 24.
40% of 80 is 32.

that is 56 shirts combined with blue and red shirts. 80 - 56 is 24 shirts :)

Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?

Answers

The area of the pennant made by Clara is 90 in²

Area

Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.

Area of the rectangle = length * width = 6 in * 1 in = 6 in²

Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²

Area of the pennant = 6 in² + 84 in² = 90 in²

The area of the pennant made by Clara is 90 in²

Find out more on Area at: https://brainly.com/question/25292087

Answer:

90in^2

Step-by-step explanation:

Area of the rectangle = length times width = 6 x1 = 6 in^2

then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2

and the Area of the pennant is = 6 + 84 = 90 in

Step-by-step explanation:

in digging a well, crew records the location of the bottom of the hole relative to ground
level. After 4 hours the hole is 164.4 feet deep. What integer represents the change in
location in feet after 1 hour?

Answers

41

164.4 / 4, gets answer/ unit rate
Requires integer so it would be 41 not 41.1

I need help I need help

Answers

you look to see how many sides are congruent as well as the angles. there are one side and one angle that are congruent.

Answer: The are of the triangle is 42 because 9=9=9 is 42 look i just want points

Step-by-step explanation:

Which equation demonstrates the multiplicative identity property?

(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i

Answers

Answer:

C (-3 + 5i) (-3 + 5i) = -16-30i

Step-by-step explanation:

EDGENUNITY


An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?​

Answers

Answer:

  Rs 500

Step-by-step explanation:

For cost c, the price that gives a 5% profit is ...

  c + 5%·c = 1.05c

The price that gives a 5% loss is ...

  c -5%·c = 0.95c

The difference of these prices is Rs 50:

  1.05c -0.95c = 50

  0.10c = 50 . . . . simplify

  c = 500 . . . . . . . divide by 0.1

The cost price of the article is Rs 500.

Hello can anyone help me with these problems please and thank you

Answers

Answer:

94)=154°

95)=40°

96)=11

97)=11

98)=9

pls help me
I am giving brainliest​

Answers

Solution

1/49 x (441x^2 - 16)

Answer is 1/49 x (21x - 4) x (21x + 4)

Help helphep help help math straightforward

Answers

Step-by-step explanation:

when a line cuts through 2 parallel lines, it does the exact same thing to both lines. it has to. because they are parallel, they act as if they are identical. only their placement is different, but this has no impact on the angles between the lines.

now, imagine a circle with the center at one of the crossing points. this circle is cut in half by the central line.

you know how many degrees a full circle has ?

360 degrees.

now, how many degrees are represented by the half- circle above or below the center line ?

of course, half of the degrees of the full circle. that means 180 degrees.

so, all the angles around a single point on one side of a line must have how many degrees together ?

right, these half-circle 180 degrees again.

because of everything we said up there, the angle 4x+6 is the same as the angle right of the 7x-2 angle.

so, 7x-2 and 4x+6 must be 180 degrees together.

that is called "supplementary angles".

7x - 2 + 4x + 6 = 180

11x = 176

x = 16

help plzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

ang hirap naman plss answee

PLEASE HELP
no linkss

Answers

Answer:

-5.2, -4.75, -9/2

Step-by-step explanation:

From least to greatest it is -5.2, -4.75, -9/2

Which of the following is equal to 7 1/4?

Answers

Answer:

C

Step-by-step explanation:

[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]

find the answer
fast​

Answers

Answer:

i) 5y

Ii) 5y-3

iii) 5y×6

Iv)

If sara’s age is y...
1. In five years, she’ll be y + 5
2. Three years ago, she was y - 3
3. If her grandpa is 6 times her age, then he’s 6y, aka 6 times y

4. If her grandpa is 6y, and her grandma is two years younger than her grandpa, then her grandma is 6y- 2
5. If sara’s dad is five years more than three times her age, it will be sara’s age, y, times three and then plus 5, aka 3y+ 5

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

Answers

Answer:

angle BEC is congruent to angle FEG (vertical opposite angles)

other than that, I'm not sure if the other angles are congruent bc of their marks.

Step-by-step explanation:

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

Answers

86% would vote for the same person again

A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year. Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning
30 POINTS GIVE GOOD ANSWER

Answers

Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

we can divide their success amounts by test amounts

950 / 1000 = 95/100 = 95%

150/200 = 75/100 = 75%

product 1 has a higher success rate

The product is more likely to last is mathematically given as

Product 1

What product is more likely to last?

Question Parameter(s):

Product 1 had 950 out of 1,000 test

Product 2 had 150 out of 200 test

Generally, the equation for the  percentage success  is mathematically given as

Product 1  950 / 1000 = 95/100 x 100 = 95%

Product 2  150/200 = 75/100 x 100 = 75%

In conclusion, the product is more likely to last is

Product 1

Read more about Trade

https://brainly.com/question/15115779

Which of the following tables represents a function?


A) x 1 −1 4 −4
y 8 8 10 10

B) x 2 2 3 3
y 6 −6 7 7

C) x 5 −5 5 −5
y 10 11 12 13

D) x 2 2 7 7
y 2 3 4 5

Answers

The only table that represents a function is table A

For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.

This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.

We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.

Hence the only table that represents a function is table A

Learn more on tables and functions here: https://brainly.com/question/3632175

Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many hundredths would there be in each of the division groups? Ο Α. 1 O B. 2. O C. 5​

Answers

Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.

The number of hundredths in each division set is D. 9

Reasons:

The given Hunter's model consists of the following

One 10 × 10 number block

Four sets of a column of 10 cubes

Five individual cube pieces

Therefore;

In 1.45, we have;

1 unit

4 tenths

5 hundredths

Which gives;

Each single cube can be used to represent a hundredth in 0.05

One cube = 0.01

Each set of 10 cubes represents a tenth in 0.4

Each block of 10 by 10 can be used to represent the unit; 1

Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each

The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08

The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.

Therefore;

The value of each division set is 0.2 + 0.08 + 0.01 = 0.29

The number of hundredths in 0.29 = 9

The number of hundredths in each division set is therefore; D. 9

Learn more about number place value here:

https://brainly.com/question/184672

Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer

Answers

Answer:

  525

Step-by-step explanation:

The demand at a price of 205 is ...

  Qd = 2600 -5(205) = 2600 -1025 = 1575

The supply at a price of 205 is ...

  Qs = -1000 +10(205) = 2050 -1000 = 1050

The demand exceeds the supply by ...

  1575 -1050 = 525

The shortage is 525 units.

How would the model and answer in the example problem change if Felicia lives 7/10 miles from the soccer field??? ​

Answers

Step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

Answer:

what the

Step-by-step explanation:

How can you identify the number of solutions of linear equations?

Answers

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Mark me as brainlist plz :)

A shipment contains 25 defective items and 100 nondefective items. Two items are randomly chosen in succession without replacement. Find the probability that both items are defective. 25) ______ A) B) C) D) E) none of these

Answers

Answer:

non of these because you are a good friend and look at the house to you nanu you nanu to get the house ☺️ to get well and

30 POINTS!!!! SOMEONE PLEASE HELP ME!!!

Answers

Answer:

  60 nickels

Step-by-step explanation:

When a ratio between coins is given, I like to consider the problem in terms of groups of coins. Here, each group would consist of 1 nickel and 0.20 quarters. The value of that group is

  5¢ +0.20×25¢ = 10¢

Then the number of groups is ...

  (total value)/(value of 1 group) = number of groups

  600¢/10¢ = 60

Since each group has 1 nickel, there are 60 nickels.

__

Check

60 nickels + 12 quarters = $3.00 +3.00 = $6.00

_____

Additional comment

If you want to see this with equations and variables, you can do this.

Let n and q represent the numbers of nickels and quarters, respectively. The given relations are ...

  0.05n +0.25q = 6.00

  q = 0.20n

Substituting for q in the first equation gives ...

  0.05n +(0.25)(0.20n) = 6.00

Simplifying gives ...

  0.10n = 6.00

  n = 6.00/0.10 = 60

PLEASE HELP ME WITH GEOMETRY

Answers

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

Can someone check my answer?? PLEASE-

The length of a rectangle is six more than the width. If the perimeter of the rectangle is 40 ft, find the length of the rectangle.

A. 13 ft (what I think) ****

B. 7 ft

C. 23 ft

D. 17 ft

Answers

Answer:

the length of the rectangle is 13 ft.

Step-by-step explanation:

width of a rectangle x ft

length of a rectangle x+6 ft

the perimeter of the rectangle is 40 ft,

2(x+x+6) = 40

2x+6 = 20

2x = 14

x = 7

So the length of the rectangle is x+6 = 7+6 = 13 ft

congrats you're right (≧▽≦)!!

Answer:

The correct answer ia A)13 ft

Step-by-step explanation:

hope this helps

W LOOKS LIKE PAIN, DEM
Directions:
Plattbo ondorod patroof obere ca a pregl la tho endor boy
aro Motod conmocilag tbeca with longercato as you plot thom.
Start a new Une after the word "LINE ENDE.
• (1.-20)
(3,-20)
(3.-19)
(4,-10)
(4,-5).
(2,-7)
LINEENDS
(4, 21)
(S24)
(S, 20)
(1, 20)
(0, 19)
(4, 16)
(d, 14)
(3, 14)
(2, 15)
LINZENDS
(-8, 15)
(-8, 14)
(-4, 12)
(-4, 5)
(-5, 3)
(-6, 0)
(-6,-3)
(-5,-6);
(-4,-7)
(-4,-20)
(-5,-21)
(-6,-23)
(-4,-23)
(-4,-22)
(-3,-20)
(-3,-7)
(-1,-7)
(-1,-20)
(0.-22)
(0,-23)
(2,-23)
(1,-21)
(0,-20)
(0,-7)
(1,-6)
LINEENDS
(4,-5)
(5,-)
(9,-18)
(6,-19)
(6;-20)
(8,-20)
(6.-17)
(6.-8)
(3,-1)
(6, 1)
F2, -3)
(8,4).
(9, 7)
(10, 4)
(9, 2)
(8, 2)
LINEENDS
(-2, 5)
(-2. 12)
(2, 14)
(2, 15)
(0, 10)
(-1, 19)
(-1, 20)
(-5, 20)
(-5, 19)
(-6, 10)
(-8, 15)
(-9, 14)
(-10, 14)
(-10, 16)
(-6, 19)
(-7, 20)
(-11, 20)
(-11, 24)
(-10, 21)
(-9, 21)
(-9, 23)
(-8, 21)
(-6, 21)
(-5, 20)
LINEENDS
(-3, 15)
(-3, 16)
(-4, 17)
(-4, 19)
(-5, 18)
(-1, 18)
(-2, 19)
(-2, 17)
(-3, 16)
LINEENDS
(-i, 16)
(0, 16)
(-1, 15)
(-5, 15)
(-6, 16)
(-5, 16)
LINEENDS
(0,-7)
(2,-7)
(3,-8)
(3,-17)
W, 3)
(5, 4)
(3, 4)
(1, 3)
(0, 3)
(-1, 20)
(0, 21)
(2, 21)
(3, 23)
(3, 21)
Mystery Media
29

Answers

Answer:

Step-by-step explanation:

S

(4,-5)

(5,-)

(9,-18)

(6,-19)

(6;-20)

(8,-20)

(6.-17)

(6.-8)

(3,-1)

(6, 1)

F2, -3)

(8,4).

(9, 7)

(10, 4)

(9, 2)

(8, 2)

LINEENDS

(-2, 5)

(-2. 12)

(2, 14)

(2, 15)

(0, 10)

(-1, 19)

(-1, 20)

(-5, 20)

(-5, 19)

(-6, 10)

(-8, 15)

(-9, 14)

(-10, 14)

(-10, 16)

(-6, 19)

(-7, 20)

(-11, 20)

(-11, 24)

(-10, 21)

(-9, 21)

(-9, 23)

(-8, 21)

(-6, 21)

(-5, 20)

LINEENDS

(-3, 15)

(-3, 16)

(-4, 17)

(-4, 19)

(-5, 18)

(-1, 18)

(-2, 19)

(-2, 17)

(-3, 16)

LINEENDS

(-i, 16)

(0, 16)

(-1, 15)

(-5, 15)

(-6, 16)

(-5, 16)

LINEENDS

(0,-7)

(2,-7)

(3,-8)

(3,-17)

W, 3)

(5, 4)

(3, 4)

(1, 3)

(0, 3)

(-1, 20)

(0, 21)

(2, 21)

(3, 23)

(3, 21)

Mystery Media

lf the exchange rate of 1 dollar is Rs 72.45. how many dollars exchanged for Rs 1449 ?

Answers

Step-by-step explanation:

solution

here,

1 dollar = rs 72.45

or, 1/72.45 dollars= rs 1

or, rs 1 = 1/72.45 dollars

now,

rs 1449= 1449/72.45 dollars

or,rs1449= 20 dollars

therefore, 20 dollars can be exchanged for rs 1449

Other Questions
which net represents this rectangular prism? MARKING AS BRAINLIEST!! Heres question 2!!! Calculate the number of mole of NaOH needed to prepare 250 mL 0.30 M NaOH solution. (Relative Atomic Mass: Na = 23.0; H = 1.0; O = 16.0] A)75.00 mol B)0.833 mol C)1.200 molD) 0.075 mol Exit These two right cylinders have the same height, 25 centimeters. The radius of the smaller cylinder is 5 centimeters and the radius of the larger cylinder is 3 times greater than that of the smaller cylinder. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 6:1 B. 12:1 C. 9:1 D. 25:1 PLZ I NEED HELP 18 POINTSWhich of these was NOT a goal of the Spanish conquistadors?converting indigenous people to Christianitygaining fame and glory by conquering new lands for Spainsearching for gold and other valuable metalsfinding a sea route to the East Indies The amount of energy involved when an electron is acquired by a neutral gaseous atom is what? Answer quicklyy please find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7). In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other. Blaine and her sister are identical twins riding roller coasters at Kinetic Kars. They each ride theroller coaster on their own once. Next time, they ride the roller coaster together. On which ridedo you think they have the most kinetic energy? Explain your answer using information from classactivities. Which is the best explanation for why Mesopotamians built canals?O They needed a way to control low water levels.O They needed a way to control the surplus.O They needed a hoy to control the river's flow.They needed a way to control flooding. The Maine Department of Transportation (DOT) has a fleet of roughly 400 plow trucks that are used to control snow and ice on approximately 8300 lane miles of Maines state roads. They usually plan on an average of about 30 treatable events in a winter. This includes the use of rock salt, salt brine and winter sand, a mix of sand and salt. Salt brine is used on roads and bridges prior to a storm to delay ice and snow from sticking to the roadway and is also used in plowing to fight the buildup of ice and snow throughout the storm. Rock salt helps keep roads safe when winter storms hit, reducing winter road accidents, but it can also have negative effects on plant life and aquatic ecosystems. What are the environmental effects of salting that must be mitigated? Select ALL that apply.A)Salt kills roadside plants.B)Salt builds up in roadside soil , changing its pH, preventing the growth of plants.C)Salt corrodes metals like automobile brake linings, frames, and bumpers, and can cause cosmetic corrosion.D)Elk, moose and sheep eat road salt causing "salt toxicosis" where they lose their fear of vehicles and humans, causing many fatal encounters.E)Salt doesn't evaporate, or otherwise get removed once applied, so it remains a persistent risk to aquatic ecosystems due to runoff or ground According to the income balance, the + sign refers to _____ and the - sign refers to _____ Which of the following initiatives help harvest renewable energy in some TCS offices How do you solve this?? 100 points!! ASAP do all problems with steps to your answer pls help me i rlly need to get this done today. A coordinate grid is shown below:A coordinate grid from negative 2 to 0 to positive 2 is drawn. There are three grid lines between a whole unit on the grid.Part A: Which point represents the origin? (2 points)Part B: Starting from the origin, explain how to plot the following three points accurately:(1, 1)(1, 1.5)(2, fraction 1 over 4)(8 points Which of the following would not be classified as an astronomer?A) Tycho BraheB) Isaac NewtonC) Andreas VesaliusD) Johannes Kepler What parts made industrialization possible in the us? To avoid a storm, a passenger-jet pilot descended 0.57 mile in 0.6 minute. What was the plane's average change of altitude per minute?