A study of black bears in the Adirondacks reveals that their population can be represented by the function , where is the number of years since the study began. Write a function that models the monthly growth rate (to the nearest hundredth of a percent) of the black bear population

Answers

Answer 1

Answer:

[tex]\mathbf{ P(t) = 3500 (1.}00206)^{12t}[/tex]

Step-by-step explanation:

The missing value of the given function is:

[tex]P(t) = 3500 (1.025)^t[/tex]

where

t = no. of years since study began

[tex]P(t) = 3500 (1+0.025)^t[/tex]

Per year, the function can be written as:

[tex]P(t) = 3500 (1+\dfrac{25}{1000})^t[/tex]

For monthly growth rate m = 12

[tex]P(t) = 3500 (1+\dfrac{25}{1000(m)})^{mt}[/tex]

[tex]P(t) = 3500 (1+\dfrac{25}{1000(12)})^{12t}[/tex]

[tex]P(t) = 3500 (1+\dfrac{25}{12000})^{12t}[/tex]

[tex]P(t) = 3500 (1+0.00206)^{12t}[/tex]

[tex]\mathbf{ P(t) = 3500 (1.}00206)^{12t}[/tex]


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54

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Answer:

-686

Step-by-step explanation:

2 x -343 = -686

Combine the rational expressions into a single fraction and reduce it in the lowest terms.

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Answer:

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Step-by-step explanation:

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Answer: 7x + 70

Step-by-step explanation:

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Answer:

62/51

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

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1/2x > 0 + 2

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x > 2 divided by 1/2

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Answers

Step-by-step explanation:

problem → 2^x = 4, solve for x

⇒2^x=4

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35/12 Is your answer, hope this helps!

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Answer:

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Step-by-step explanation:

hope this helps

Answer:

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Step-by-step explanation:

40n-19n=21n

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Answers

Answer:

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Step-by-step explanation:

Answer:

the answer is 2 percent

Step-by-step explanation:

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Answer:

9 because 3 x  4 = to 9

Step-by-step explanation:

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Answer:

Um...you really don't. You can convert it into fractions and percentages though.

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Percent: 83%

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Step-by-step explanation:

Pete has $2.67 in dimes and pennies.If he has $1.16 in pennies how many dimes does Pete have

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Answer:15 17

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Divide 80 by 10

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Answers

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.
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Answers

Answer:

-4x/7

Step-by-step explanation:

4x + 7y = -35

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

10/4

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

First, we have to find what percent is dirty, so our equation is:

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Then we have to find how much of 100% is left after we take away 59%:

100 - 59 = 41

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determine whether x=33 is a solution of the equation below 3= x/11

Answers

Answer:

Yes, x = 33 is a solution

Step-by-step explanation:

To see if it is a solution, plug in 33 as x

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Since this is correct, x = 33 is a solution.

Given,

The value of x is 33.

[tex] \implies \: 3 = \bf\dfrac{x}{11} [/tex]

[tex] \implies \: 3 \times 11 = \bf x[/tex]

Putting the value of x ..

[tex] \implies \: 33 = 33[/tex]

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Answers

Answer:

1,680

Step-by-step explanation:

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Answer:

$1680

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

if the printer prints

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Answers

Answer:

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Step-by-step explanation:

Each point is the same distance to the middle of a polygon

hope this helps....

You might need:
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Answers

Answer:

lesser x: - 6

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Step-by-step explanation:

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The Pet Kennel has 12 dogs and cats for the

weekend. The number of dogs is three less than

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°{

oſ d+c= 12

Id=2e - 3

os d+c= 12

2c = d - 3

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1 c = 2d - 3

of d+c = 12

Id=3- 26

Answers

Answer:

d + c = 12

d = 2c - 3

Step-by-step explanation:

Given that :

Total number of dogs and cats = 12

Let :

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d + c = 12

Number of dogs = 2 times the number of cats less than 3 ;

Mathematically,

d = 2c - 3

The system of equations to model the situations are,

d + c = 12 and d = 2c - 3.

What is System of Equations?

System of equations are a set of two or more equations which has to be solved together, which means the solution we get after solving these equations must be satisfying for all the equations given.

System of equations will get a unique solution if the number of variables in the equation is equal to the number of equations in the system.

Let 'c' denote the number of cats and 'd' denote the number of dogs.

Total number of dogs and cats = 12

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Number of dogs is 3 less than twice the number of cats.

So, d = 2c - 3

Hence the system of equations to model the given statements is,

d + c = 12

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Answers

Answer:

30 for walking, 15 for biking

Step-by-step explanation:

150 divided by 5

150 divided by 10

2.
5 s= 4
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Answer:

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Step-by-step explanation:

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