A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P =aâb^t where p =_________

Answers

Answer 1

Answer:

The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]

Step-by-step explanation:

The exponential model for the population has the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that [tex]P(0) = 19000, r = 0.048[/tex]

So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = 19000e^{0.048t}[/tex]

The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]


Related Questions

Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?

Answers

There are a total of 20 balls, 8 of which are red or pink . 8/20 reduced is 2/5
It’s there if you go 5 dagres up

A die is rolled 200 times with the following results.
Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?

a number less than 3
a.
0.68
c.
0.34
b.
0.56
d.
0.66

Answers

.34. conch hvnvjvhchch huh hbu i

If 1 foot of chain costs 17¢, then 4 yards of this chain would cost

A. $0.68

B. $1.53

C. $2.04

D. $2.75​

Answers

Answer:

a

Step-by-step explanation:

17x4+68

Answer: C. $2.04

Step-by-step explanation: 4 yards = 12 feet. 17 x 12 = 204 cents which equals to $2.04

Annalisa, Keiko, and Stefan want to compare their heights. Annalisa is 64 inches tall. Stefan tells her, "I'm about 7.5 centimeters taller than you." Keiko knows she is 1.5 inches shorter than Stefan. Give the heights of all three people in both inches and centimeters to the nearest half unit.


Annalisa is 64 inches or about
cm tall.

Stefan is about
inches or about
cm tall.

Keiko is about
inches or about
cm tall.
i need the in and cems of Stefan and Keiko

Answers

Answer:

okay so this is kind of confusing but

Annalisa - 64 inches, 162.56 centimeters

Stefan - 67 inches, 170.18 centimeters

Keiko - 65 inches, 165.1 centimeters

Step-by-step explanation:

Solve this equation with ÷, ×, -, or +.
18 _ 2 × 4 = 26

Answers

Answer:

+

Step-by-step explanation:

b/c

18+2×4

18+8

26

hope it's helpful ❤❤❤

THANK YOU.

Do you guys know the answers??

Answers

Answer:

Hope this helps!

Step-by-step explanation:

1.  9.38

2. 9.80

3. 11

4. 9.85

5.  15.23

6.  15

7. 9.95

8. 27

9. 26.96

10. 14.14

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤❤❤

THANK YOU.

write an absolute value inequality for the graph below.
use x for your variable.

Answers

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

f(x) = -2 (3)x - 2

Answers

Answer:

Bebe he duff or my yiiyisidduxid

am I supposed to simplify or find the value of x?

3x − 2y = 18
y = 2x − 13

Answers

Answer:

x = - 8

3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18

Then I used an algebra site for the rest.

It should be x = - 8

I'm guessing you want x and y solved.

Answer: x=10 and y=6

Explanation:

For X: Substitute the y-equation (y-2x-13) into the first equation (3x-2y=18) so your equation is 3x-2(2x-13)=18. Do the distribution property and the equation will be 3x-4x+26=18. Put like terms on the same side of the equal sign and combine like terms (subtract 26 on both sides) and the equation will be -x = -10. To make x positive, make both sides positive and you get x=10.

For Y: Substitute your x answer (10) into the first equation (3x-2y=18) and you will get 30-2y=18. Subtract 30 from both sides and you get -2y=12. Divide both sides by the common factor of -2 and you get y=6.

In ΔXYZ, y = 53 inches, z = 55 inches and ∠X=120°. Find the length of x, to the nearest inch.

Answers

Answer: 94

Step-by-step explanation:

Mike has $85 to spend at the carnival. He spends 34% on food. How much money does he have left to spend?

Answers

Answer:

$56.10

Step-by-step explanation:

$0.34 removed for every dollar

.34 x 85 = $28.9 removed

85 - 28.9 = $56.10

hope this helped please mark brainliest if this helped :)

the answer to this is $56.10

Which equation is NOT a linear function?
y = 17
y=-4x – 12
y = x2-2
y = 5x
I ready

Answers

Answer:

y=x^2-2

Step-by-step explanation:

this equation is not a linear function because the equation is that of a quadratic function

the drama club is selling tickets for the spring musical each student ticket is $5 each adult ticket is $8 total of $222 tickets were sold the total ticket sells for $1,626 which system of equation can be used to represent the situation​

Answers

Answer and Step-by-step explanation:

I don’t really know which system of equation to use, but I did the work. I also think there is supposed to be an attached picture but it’s fine

——————————————————————————————————————

Let x be students

Let y be adults

x + y = 222

5x + 8y = 1,626. <— let’s use the elimination/addition method to Solve this. Also, let’s eliminate y.

8 (x + y = 222)

-1 (5x + 8y = 1,626)

8x + 8y = 1,776

+ -5x - 8y = -1,626 <— add both of them

——————————————

3x = 150 <— divide 150 by 3

x = 5

Oh phone company offers to monthly plans plan a cost $13 plus an additional $.14 for each minute of calls Plan B cost $18 plus an additional of $.09 for each minute of calls.

For what amount of calling do the two plans cost the same?



What is the cost when the two plans cost the same?

Answers

Answer:

For 100 minutes

Step-by-step explanation:

Step one:

given data

Oh phone company

monthly plans plan a cost $13 plus an additional $.14 for each minute of calls

let the number of minutes be x, and the total be y

y= 13+0.14x--------------------1

Plan B cost $18 plus an additional of $.09 for each minute of calls

let the number of minutes be x, and the total be y

y= 18+0.09x--------------------2

Step two:

Equate 1 and 2 above

13+0.14x=18+0.09x

collect like terms

18-13= 0.14x-0.09x

5=0.05x

divide both sides by 0.05

x=5/0.05

x=100 minutes

a bakery used 25% less butter this month than last month.

The bakery used 240 kilograms of butter this month.

How much did it use last month?

Answers

Answer:

300kg

Step-by-step explanation:

What is the value of x in the solution to the system of linear equations?
y - 2x = -1
14 + 2y = 8x

Answers

Answer:

(3,5)

value of x is 3

value of y is 5

Please help me with my homework!!!!!!!

Answers

A and b I believe I think it is

Answer:

A, C, E

Step-by-step explanation:

- (3/4) = -3/4

A: A is correct because it is the same equation as above.

B: -3/-4

The negatives cancel out each other, so it would just be 3/4, which is not the same as -3/4, so B is incorrect

C: -3/4 is equal to -3/4, so C is correct

D: -(-3/4)

The negative signs cancel each other out, so it equals 3/4. D is incorrect

E: 3/-4 = -3/4, so E is correct

Can someone please help me

Answers

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

4a + 3 2y 5a 7 + 4y
Need to simplify

Answers

Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

The Expressions -3(8) and 3(-8) have a value of -24. Write three different multiplication expressions using two integers that also have a value of -24.

plz help me

Answers

Answer:

2(-12), -1(24), 6(-4)

Step-by-step explanation:

i giveeeeeeeeeeee brainlilstttttttttttttttt

Answers

X=-7 Y=+12............

Help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

173.2m

Step-by-step explanation:

Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.

Let the height of the balloon from the ground be AB=hmetres.

In a right angled triangle ACB

BC

AB

=sin60

200

h

=

2

3

since

sin60

=

2

3

⇒h=200×

2

3

⇒h=100

3

∴h=100×1.732=173.2 since

3

=1.732

Hence, the height of the balloon above the ground is 173.2m

The answer would be 173.3 or 173.2 m for it

Is Mikasa less than or equal to Levi
This is math I promise

Answers

Answer:

less than because levi is one of the most skilled

Answer:

She is less than Levi

Step-by-step explanation:

Levi has literally decades more experience of fighting titans than Mikasa. Also, as revealed in the latest chapters, both are part of the Ackerman family which was the product of titan experiments. Also, five seconds don't really help Mikasa. So, yeah, Levi wins, no doubt.

What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept of that line?

Answers

Answer:

y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2

The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]

The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

The slope m is calculated using the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]

For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and  y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

please help me with my homework

Answers

Answer:

[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]

Step-by-step explanation:

From Euclidean Geometry, parallelograms satisfy the following properties:

1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]

2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]

3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]

By 3):

[tex]AD = 6[/tex]

By 3):

[tex]DC = 14[/tex]

By 2):

[tex]\angle A = 180^{\circ}-\angle D[/tex]

[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]

[tex]\angle A = 114^{\circ}[/tex]

By 1):

[tex]\angle B = 66^{\circ}[/tex]

By 1):

[tex]\angle C = 114^{\circ}[/tex]

Hello, I give brainliest. Do not answer questions just to get points or you will get reported. Your answer may be incorrect but it cant be completely off. I also give thanks as well as 5 star or 1-star rating if your answer was completely incorrect.

Answers

Answer:

The answer to the question is four.

Answer:

I think the answer might be 4.

*8th grade math*
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
please answer with work

Answers

Answer:

67

Step-by-step explanation:

                        __

Answer:   5.4945...

Step-by-step explanation:

1.6 (1 + 0.5n) − 3 , 2 = 1.1 (n − 6.8)

Rewrite the equation as 1.1 (n − 6.8) = 2.

1.1 (n − 6.8) = 2  

Divide each term by 1.1 and simplify.

  Divide each term in 1.1 (n − 6.8) = 2 by 1.1.

      1.1 (n − 6.8)/1.1  = 2/1.1

   Cancel the common factor of 1.1.

      n − 6.8 =  2/1.1

   Divide 2 by 1.1.                          

      n − 6.8 = 1.81...

Move all terms not containing n to the right side of the equation.

   Add 6.8 to both sides of the equation.                  

      n = 1.81... + 6.8            

   Add 1.81... and 6.8.

      n = 8.618...

Replace the variable n with 8.618... in the expression.

1.6 (1 + 0.5 (8.618...)) − 3  

Simplify each term.  

  Multiply 0.5 by 8.618...

      1.6 (1 + 4.309...) − 3

  Add 1 and 4.309...

      1.6 ⋅ 5.309... − 3

   Multiply 1.6 by 5.309...

      8.4945... − 3

  Subtract 3 from 8.4945...

      5.4945...

Jenna wants to rent a mountain bike by the week. Identify the independent variables that affect the total rental cost.

Answers

Answer:

2845

Step-by-step explanation:

What is the length of jL​

Answers

Answer:

18 ft

Step-by-step explanation:

Since the 2nd triangle is 2x larger than the 1st one, you multiply by 2 on the matching side to get the answer.

(hope this helps!)

Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify​

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

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