PLEASE YOU GUYS I NEED REAL HELP !!!!!!
The population of a town is modeled by the equation P=3485e0.12t, 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.



Part A: 11,571 people in 2010
Part B: approx. 22 years

Part A: 38,416 people in 2010
Part B: approx. 13 years

Part A: 11,571 people in 2010;
Part B: approx. 13 years

Part A: 38,416 people in 2010;
Part B: approx. 22 years

Answers

Answer 1

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

Let P represents the population as of the year(t) 2000. Given the equation:

[tex]P=3485e^{0.12t}[/tex]

In the year 2010 (t = 10 years), the population would be:

[tex]P=3485e^{0.12*10}=11571\ people[/tex]

For the population to reach 50000 people:

[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

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Related Questions

Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .

Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .

Answers

Answer:

it changes it by putting it into quadrant 2.

Step-by-step explanation:

(x,y) → (x,-y)

KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2

Preston is correct

3x - 7 = 3x + 9; x =

Please can someone help me and show me the answers step by steps

Answers

Answer:

i think probably x∉∅

Step-by-step explanation:

3x-7 = 3x+9

-7 = 9

so x∉∅

Answer:

0 = 16 or No Solution

Step-by-step explanation:

1) Add  7   to both sides of the equation

3x - 7 + 7 = 3x + 9 + 7

2) Simplify

A. Add the numbers

3x = 3x + 9 + 7

B. Add the numbers

3x = 3x + 16

3) Subtract 3x  from both sides of the equation

3x - 3x = 3x + 16 - 3x

4) Simplify

A. Combine like terms

0 = 3x + 16 - 3x

B. Combine like terms

0 = 16

What is the equation of a line that goes through points (4,-5) and (-4, 1)?​

Answers

Answer:

y=-3/4x-2

Step-by-step explanation:

y=mx+b form (slope intercept form)

1) find slope

(4,-5) and (-4,1)

1-(-5)=6

-4-4=-8

m=6/-8 or 3/-4

y=-3/4x+b

Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)

in this case, I'll plug in (4,-5).

-5=-3/4(4)+b

Note that I substituted the y and x variables in place of one of the coordinates.

find b=-2.

Result: y=-3/4x-2

how do I dilate triangles using scale factors? step by step

Answers

Answer:

so first you

Step-by-step explanation:

find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.

How do I solve this question?

Answers

Answer:

A

Step-by-step explanation:

throat bababy

у — 3x 4
у > 4х +1

Anyone know the answe on how to solve this???

Answers

Answer:

Unbounded, infinite number of solutions

Step-by-step explanation:

1. Graph each inequality separately

2. Choose test point to determine which side of line needs to be shaded

3. The solution will be the the area where the shadings from both inequalities overlap

Since, the overlap almost covers the 2nd and 3rd quadrants there are an infintite number of solutions

Find the perimeter of the figure below, in centimeters.

Answers

Answer

64.8

Step-by-step explanation:

brainliest pls

Answer:

64.8 cm.

Step-by-step explanation:

Add up the sides:

Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)

= 17.4 + 11 + 11 + 21.6 + 3.8

= 64.8 cm.

Find the slope of the line going through the pair of points: (11, 7), (-9, 8)
20
O-20
0 - 20
O 20

Answers

Answer:

1/-20 or -0.05

Step-by-step explanation:

-20 find these answer by use slope formula
y2-y1/x2-x1 (11,7) and (-9,8)
8-7/-9-11= 1/-20 we flipped we got -20
Hope this help ;)

answer pls:)))))))).

Answers

(5√5)(5√15)
25√75
125√3

x+y=15
- 2x+5y=-2

solve the system of equations

please answer i’ll name you brainliest

Answers

Answer:

x= 11 and y = 4

Step-by-step explanation:

(solving by elimination)

Multiply the first equation by 2 and multiply the second one by 1.

2(x+y= 15)

1(-2x+5y=-2)

is now

2x+2y=30

-2x+5y-2

add them together to eliminate x

7y=28

then solve for y

7y=28

[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]

y=4

---

Now you have y. put that back into the original equation for X

---

x+y=15

y= 4 so

x+4=15

x= 15-4

x=11

x=11, y=4

Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.

Answers

Answer:

What is the intrest for the 13th payment?

Answer:  What is the interset

Step-by-step explanation:

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD

Answers

Answer:

-3

Step-by-step explanation:

The slopes of parallel lines are equal.

If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3

Answer:

-3

Step-by-step explanation:

There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.

So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.

Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.

Please consider a brainliest, thank you!

Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?

Answers

Let’s say Peter’s number is P.

P minus 16 and the answer times -2 is -34

-2(P-16) = -34

-2P+32 = -34

-2P = -66

Divide by -2

P is 33.

Check: 33-16 is 17 and 17*-2 is -34. So

P is 33.

Answer:

33

Step-by-step explanation:

Let the number be x,

=> (x - 16) -2 = - 34

=> -2x + 32 = -34

=> -2x = - 34 - 32 (by transposing)

=> -2x = -66

=> x = -66/-2 = 33

Peter's number is 33.

Hope you understood.

How much does darma earn if she babysits 6 hours

Answers

Answer:

42$

Step-by-step explanation:

Since she earns 28 $ in 4 hours

Let the hour : X

4x=28

X=28/4

X=7

Since the question want 6 hours

Then she earns

6x7=42$

When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers

Answers

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10

Evan is going to the 50th state fair this weekend, it cost $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go in. What does the variable "y" represent?​

Answers

Answer:

y represents the total amount he spent in x amount of rides+ the $10 fee.

Step-by-step explanation:

At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.

x=1, y=12

x=2, y=14

x=3, y=16

... and so on.

PLEASE HELP!!!!!!!!!!!!!

Answers

It will be the last one so it would be 60
The answer is D
8+(-3)+15-(-40)
8-3+15+40
5+15+40
20+40
60

please help!! i don’t know how to do this please help asap.

Answers

x = 40y - 16y^2 - 24

Hi! Can somebody please help me? I have been stuck on this question for too long now.

Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.

The Set of Pythagorean triples:
x-value Pythagorean Triple
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)

Answers

Answer:

its 7

Step-by-step explanation:

Write the expanded form of the expression.

3(4x - 6) =

Answers

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

20% of 200 solve how .

Answers

20% of 200 is 40 because if you set it up as a fraction 20/100 and x/200 you multiply 2 to get to 200 and you do the same to the top so 20x2 = 40 so the answer should be 40

Answer:

20% of 200 is 40

Step-by-step explanation:

multiply 20 and 200 then divide by 100 to get your answer (20*200)/100=40

Find the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

is an isosceles triangle, so 12 = x + 4

12 = x + 4

x = 12- 4

x = 8

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

check

12 = 8 + 4

12 = 12

the answer is good

If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.

(Hint: 58 is what percentage of 100?)

Answers

Answer:

58 out of 100 is

58/100

as a decmil that is

0.58

Hope That Helps!!!

Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False

Answers

Answer:

True

Step-by-step explanation:

If corresponding angles are congruent, the lines are parallel

Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to
Denver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in the
central time zone and Colorado is in the mountain time zone, what will be the
local time in Denver when the flight arrives?
Use the following to help you answer the question
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
A. 12:15 p.m.
B. 2:15 p.m.
C. 1:15 p.m.
D. 11:15 a.m.
SUBMIT

Answers

Answer: 1:15pm

Step-by-step explanation:

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

y=4x+5

Step-by-step explanation:

There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters

Answers

Answer:

585

Step-by-step explanation:

Since there are 8 tanks and 5 barrels, you must add the two together,

[tex]8+5=13\\[/tex]

Then since there are 45 liters of oil in each containe, you have to multiply,

[tex]13x45=585[/tex]

There are 585 liters of oil

What is the value of x? Leave your answer in simplest radical form.

Answers

Answer:

sqrt 52

Step-by-step explanation:

use the pythagorean thereom

side a - 4

side b - 6

to find the hypotenuse, simply square both sides.

4² + 6²

4 x 4 = 16

6 x 6 = 36

add these two together

you should get 52.

After finding the combined side length, find the inverse operation of squared.

The inverse operation is the square root.

So find the square root of 52.

√52 = 7.21110255

round to the nearest tenth.

the answer should be 7.2

But to keep it in radical form the answer is sqrt 52

Answer:

The value of x is 2√13.

Step-by-step explanation:

With the help of Pythagoras theorem, we will find the value of x.

=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:

Therefore, the value of x is 2√13.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

can i get some help on this question?

Answers

Divide both sides by 8.5 to get b on its own

68/8.5 = 8
So b = 8
Answer:

Bye I hope this helps you pass!

Solve please! :) The values of m n k respectively.

Answers

Answer:

1,6,2 and 5

Step-by-step explanation:

(2x/5)² . (1x⁴/4)^-1

=(2²x²/5²) . (4/x⁴)

=4x²/25 × 4/x⁴

= 16/25x²

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