For each year , the population of a forest of trees is represented by A(t)=115(1.025)t .In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)t .



Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years? By how many?

Answers

Answer 1

Answer:  Forest B has 71 more trees than forest A after 100 years.

Step-by-step explanation:

I'm assuming that both functions should read as follows:  (the time, t, is shown as a power, instead as a multiplication).

A(t)=115(1.025)^t

B(t)=82(1.029)^t

Although A starts out with more trees (115), B is growing at 2.9% per year [1.029], versus 2.5% [1.025]for A.

A(100)=115(1.025)^(100)

A(100) = 1359

B(100) = 82(1.029)^(100)

B(100) = 1430

Forest B has 71 more trees than forest A after 100 years.


Related Questions

True or false?

If the measure of one acute angle of a right triangle is 45, the measure of the other acute angle is 45

Please help me! I have a test tmrw :)

Answers

Answer:

True

Step-by-step explanation:

True

Answer:

It is True

Step-by-step explanation:

If I got you it correct please give me brainliest, and if a right triangle have one acute angle then the other have to have it since it is a right triangle and a right triangle is isosceles. The right angle is the only part the others are acute.

Hope this helps!

(1)The volume of a rectangular prism is 99mm³. Its width is 4.5mm, and its height is 2.2mm. What is its length?
(2)A sample of Lignum vitae 2.0m long, 0.5m wide, 0.1m thick. What is its mass?
(Hint:: density of Lignum vitae is 1,230Kg/m³)

Answers

Answer:

346789

Step-by-step explanation:

write 875 000 000 in standard form​

Answers

Step-by-step explanation:

8.75×10^8 this is the standard form

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

a. locate the rise over run between points

b. y2-y1/x2-x1

c. m=slope in y=mx+b

Step-by-step explanation:

a) Use rise over run,

() count how far apart up/down the y's are, and how far apart left/right the x's are

() down in the y's mean it is negative

b) change in y over change in x

() y2 - y1 / x2 - x1

c) find the "m" when it is in slope-intercept form

() y = mx + b

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Write an equation in Ax+By=C form for this line.

Answers

9514 1404 393

Answer:

  5x -2y = 30

Step-by-step explanation:

The slope of the line ...

  Ax +By = C

is -A/B. This means we can use A=5 and B=-2 in the equation we're looking for. The value of C will be one that makes the equation true at the given point.

  5x -2y = 5(4) -2(-5)

  5x -2y = 30

12. If 7x = 4(-11 - x),

then x=

13. Shannon is planning to tile a rectangular kitchen countertop that is 12 inches wide and 35 inches

long. She determined that 1 tile will be needed for each 3-inch-by-7-inch region. What is the minimum

number of tiles that will be needed to completely cover the countertop to its edges?

Answers

Step-by-step explanation:

12:

7x=4(-11-x)

7x=-33-4x

7x+4x=-33

11x=-33

x=-3

13:

Area=12inch*35inch

=420inch²

Area of a tile:3*7=21

420:21=20 tiles

Hope this helps

Brainliest would be appreciated

Pls help me on number 3 i really need to know

Answers

Answer:

they are not equivalent z^3 equals z×z×z and 3z is just 3z

The table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 115 days of​ hibernation? Use pencil and paper. Explain how you know that the relationship between the​ hedgehog's weight loss and the number of days of hibernation is proportional.
Weight Loss of Hedgehog
Days of Hibernation
Loss in Weight​ (oz)
8
0.24
28
0.84
75
2.25
93
2.79
.
.
.
.
.
The hedgehog loses
enter your response here ounces.
​(Type an integer or a​ decimal.)

Answers

Using proportions, it is found that the hedgehog loses 3.45 ounces after 115 days of hibernation.

A proportional relationship is modeled by:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the ratio between the weighs loss after x days in hibernation is given by:

[tex]k = \frac{0.24}{8} = \frac{0.84}{28} = \frac{2.25}{75} = \frac{2.79}{93} = 0.03[/tex]

Since this ratio is constant, the relationship is proportional, modeled by:

[tex]y = 0.03x[/tex]

The weight lost after 115 days of hibernation is y(115), hence:

[tex]y = 0.03(115) = 3.45[/tex]

The hedgehog loses 3.45 ounces after 115 days of hibernation.

A similar problem is given at https://brainly.com/question/24372153

i’m having a very hard time with this. please help.

Answers

You multiply 5 x 3 Bc you multiplied the left side by 3. Hope this helps

Drag the tiles to the correct boxes to complete the pairs. Match each scenario to its corresponding percent error.​

Answers

Answer:

No photo / not enough info to answer

Step-by-step explanation:

Dan's home is 2.4 miles from school. today, Dan wants to stop at the ice cream store after school. right now he is 0.42 miles away from school.

A)how far is the ice cream store from dan's school
B)how many how much farther does Dan need to walk to get to the store
C) how many miles does he have left to walk home

Answers

2.40 because yes and mathamatics it is B and please

_x+5=4(–x–5) help pls

Answers

Answer:

Assuming the equation is: _x+5=4(–x–5) and not -x+5=4(–x–5),

Step-by-step explanation:

_x+5=4(–x–5)

_x+5=–4x–20

_x =–4x–25

_x +4x=–25

(4+_x) = -25

There is nothing left to do without more information.

====

Otherwise:

-x+5=4(-x-5)

-x+5=-4x-20

-3x = -25

x = -(25/3)

16

Three years ago the mean price of an existing single family home was $243,789 A real estate broker believes that existing home prices in her neighborhood are higher

Answers

Answer:

See image for answer:)

Step-by-step explanation:

The temperature at the top of the mountain is 5 degrees above zero. The temperature at the base of the mountain is 8 degrees below zero. By how many degrees does the temperature change as you climb from the top of the mountain to the base?

Answers

Answer:

13 degrees

Step-by-step explanation:

5--8=5+8=13

write one-half the difference of a number and six is greater than or equal to fifteen less than twice the number as an algebraic expression

Answers

Answer:

1/2-x+6≥x-15

Step-by-step explanation:

10x − 10y = –20
–10x + 4y = –16

Answers

Step-by-step explanation:

10x - 10y = -20

-10y = -20 - 10x

y = -20/-10 - 10x/-10

y = 2 + x

-10x + 4y = -16

-10x + 4(2 + x) = -16

-10x + 8 + 4x = -16

-6x = -24

x = -24/-6

x = 4

y = 2 + x

y = 2 + 4

y = 6

Solution = (4,6)

A particular bank offer 6% interest per year compound monthly Timothy wishes to deposit $1000 write a forumla for the Amount A Timothy after n months

Answers

A formula that could be used to find the future value of Timothy's account after n months is: [tex]A = 1005^{\frac{144}{n} }[/tex]

Given the following data:

Interest rate = 6%Principal = $1000Number of times compounded = 12Time = n months to years = [tex]\frac{12}{n} \;years[/tex]

To write a formula for the Amount A Timothy has after n months:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.P is the principal or starting amount.r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have:

[tex]A = 1000(1 + \frac{0.06}{12} )^{12\times \frac{12}{n} }\\\\A = 1000(1 + 0.005 )^{\frac{144}{n} }\\\\A = 1000(1.005 )^{\frac{144}{n} }\\\\A = 1005^{\frac{144}{n} }[/tex]

Read more on compound interest here: https://brainly.com/question/22339845

4.Resuelve a partir de las expresiones dadas. Se tienen las expresiones algebraicas ( a^2+ 3b -6) (3a^2-5b+8)El resultado de la suma de las dos expresiones anteriores es igual a

Answers

Answer:

21EL

Step-by-step explanation:

I need help. Somebody, please help me!

Answers

Answer:

25 mini loaves

Step-by-step explanation:

Using the first set you can divide and tell that 1 cup of flour is equal to 2.5 mini loaves, applying that to the other set you can inquire that it's true. So therefore what you need to do is multiply 2.5 times the amount of flour you are using.

10 cups = 25 mini loaves

Si un triángulo rectángulo la altura es de 3cm mayor que la base y el area es 35cm, ¿Cuanto miden respectivamente, la base y la altura del triángulo?

Answers

Answer:

[tex]b = 23.33cm \\ height \: 3cm \\ area \: 35 \: {cm}^{2} \\ [/tex]

Evaluate.

12÷(2+23)2

question options:

649

412

323

11116

hurry please ill give brainliest

Answers

Answer:

I got .96

Step-by-step explanation:

2+23 is 25. 25 devided by 12 is .48. Times that by 2 and you get . 96. clearly that's not an option though so I'm not sure. sorry. did you make a typo by any chance?

The solution to the expression 12 ÷ (2+2/3)² is 1 11/16

Here, we have,

given that,

In this question, we have been given an expression.

12÷(2+23)2

The correct expression is: 12÷(2+2/3)²

We need to evaluate given expression.

Consider given expression,

12 ÷ (2+2/3)²

= 12 ÷ (8/3)²

= 12 ÷ 64/9

= 12/(64/9)

= 12 * (9/64)

= 3 * 9/16

= 27/16

We write above fraction as improper fraction.

= 1 11/16

Therefore, the solution to the expression 12 ÷ (2+2/3)² is 1 11/16

Learn more about an expression here:

brainly.com/question/1859113

#SPJ6

May I please receive help?

Answers

Answer:

Angle E = 105°Angle F = 50°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

HELP WITH THIS MATH PROBLEM, WILL GIVE BRAINLIEST!

Answers

Answer: m=20

Step-by-step explanation:

use the wolfram alpha calculator just  

Solve the following inequality
2x − 4 > 12

Answers

Answer:

X>8

Step-by-step explanation:

1. Group all constants on the right side of the inequality

2. Isolate the x

3. Solution on a coordinate plane

At the after school Hawk Club meeting, there were four drinks you could choose from: orange soda, Coke, Dr. Pepper, and water. There were three snacks you could choose from: peanuts, fruit, and cookies. Each student may have only one drink and one snack.
Use the counting principle to find the number of choices available

Answers

Answer: 12 possible choices

Step-by-step explanation: there are 4 drink options, and 3 snack options so using the counting principle we would do 4 x 3 to get 12. You could also check individually since it is not a big number by doing: 1 choice with coke and peanuts, another with coke and fruit, etc.

find the value of Z.

Answers

Answer:

61°

Step-by-step explanation:

2z + 2z - 64 = 180

4z = 244

z = 61

If x=-13, what is 54x+(14-x)

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───█───────────▀▄▄▄▄▄▄▄▄▄▀────────█

Answers

Answer: use the algebric condistional process

Step-by-step explanation: this is sample only

Which expression is not equivalent to 54x−12 from the amswers below?

2(27x−6)

3(18x−4)

(12x−3)4

(9x−2)6

Answers

The equation that is not equal to 54x-12 is (12x-3)4

(12x-3)4 equals 48x-12 while the other ones equal 54x-12

Answer: (12x-3)4

54x-12 is not equal to (12x-3)4

X/5 + 3 = 2 pls help

Answers

Answer:

x=-5

Step-by-step explanation:

Group all constants on the right side of the equation

Subtract 3 from both sides:

x/5+3-3=2-3

Simplify the arithmetic:

x/5=2-3

Simplify the arithmetic:

x/5=-1

Isolate the x

Multiply to both sides by 5:

x/5 ·5= -1 · 5

Group like terms:

1/5 · 5x = -1 · 5

Simplify the fraction:

x = -1 · 5

Simplify the arithmetic:

x = -5

The parabola has a minimum value of (1. 5,-1. 5). What is its equation.

Answers

The minimum point of a parabola is its vertex.

The equation of the parabola is [tex]\mathbf{y =a(x -1.5)^2 -1.5}[/tex]

The minimum point of the parabola is given as:

[tex]\mathbf{Minimum = (1.5,-1.5)}[/tex]

This represents the vertex (h,k).

So, we have:

[tex]\mathbf{(h,k) = (1.5,-1.5)}[/tex]

A parabola is represented with the following equation

[tex]\mathbf{y =a(x -h)^2 + k}[/tex]

Substitute values for h and k

[tex]\mathbf{y =a(x -1.5)^2 -1.5}[/tex]

Hence, the equation of the parabola is [tex]\mathbf{y =a(x -1.5)^2 -1.5}[/tex], where a does not equal to 0

Read more about parabolas at:

https://brainly.com/question/4074088

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